Document Search Results

Dimov, Ivan (ed.) et al., Finite difference methods. Theory and applications. 7th international conference, FDM 2018, Lozenetz, Bulgaria, June 11–16, 2018. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11386, 216-224 (2019).

MSC: 65N99 35B25 35C20 35J25 35J61 86A10

Cite Review PDF

Full Text: DOI

Nefedov, N. N.; Nikulin, E. I.; Recke, L.

On the existence and asymptotic stability of periodic contrast structures in quasilinear reaction-advection-diffusion equations. (English) Zbl 1416.35027

Russ. J. Math. Phys. 26, No. 1, 55-69 (2019).

MSC: 35B25 35K20 35K57 35B10 35B35

Cite Review PDF

Full Text: DOI

Béchet, Fabien

Propagation of singularities in shells of non-uniform geometrical nature. A numerical investigation. (English) Zbl 1406.74465

Eur. J. Mech., A, Solids 74, 188-201 (2019).

MSC: 74K25 74S05 65N30 74B05

Cite Review PDF

Full Text: DOI HAL

Adler, Michael C.; Gonzalez, David R.; Stack, Cory M.; Gaitonde, Datta V.

Synthetic generation of equilibrium boundary layer turbulence from modeled statistics. (English) Zbl 1390.76102

Comput. Fluids 165, 127-143 (2018).

MSC: 76F40 76F65 76Nxx

Cite Review PDF

Full Text: DOI

OA License

Kambe, Tsutomu

New scenario of turbulence theory and wall-bounded turbulence: theoretical significance. (English) Zbl 1506.76046

Geophys. Astrophys. Fluid Dyn. 111, No. 6, 448-507 (2017).

MSC: 76F40

Cite Review PDF

Full Text: DOI arXiv

Reznik, G. M.

Wave boundary layers in a stratified fluid. (English) Zbl 1419.76202

J. Fluid Mech. 833, 512-537 (2017).

MSC: 76D50 76U05 76D10

Cite Review PDF

Full Text: DOI

Allaerts, Dries; Meyers, Johan

Boundary-layer development and gravity waves in conventionally neutral wind farms. (English) Zbl 1383.76275

J. Fluid Mech. 814, 95-130 (2017).

MSC: 76F65 76F40 76N15 86A10

Cite Review PDF

Full Text: DOI

OA License

Volkov, Vladimir; Lukyanenko, Dmitry; Nefedov, Nikolay

Asymptotic-numerical method for the location and dynamics of internal layers in singular perturbed parabolic problems. (English) Zbl 1368.65167

Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 6th international conference, NAA 2016, Lozenetz, Bulgaria, June 15–22, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-57098-3/pbk; 978-3-319-57099-0/ebook). Lecture Notes in Computer Science 10187, 721-729 (2017).

MSC: 65M22 35K57 35B25

Cite Review PDF

Full Text: DOI

Pollock, Sara

Stabilized and inexact adaptive methods for capturing internal layers in quasilinear PDE. (English) Zbl 1346.65051

J. Comput. Appl. Math. 308, 243-262 (2016).

MSC: 65M60 35K59 65M12 65M50

Cite Review PDF

Full Text: DOI arXiv

Strani, Marta

Slow dynamics in reaction-diffusion systems. (English) Zbl 1342.35152

Asymptotic Anal. 98, No. 1-2, 131-154 (2016).

MSC: 35K57 35B40 35K20

Cite Review PDF

Full Text: DOI arXiv

Uzunca, Murat

Adaptive discontinuous Galerkin methods for non-linear reactive flows. (English) Zbl 1354.76005

Lecture Notes in Geosystems Mathematics and Computing. Basel: Birkhäuser/Springer (ISBN 978-3-319-30129-7/pbk; 978-3-319-30130-3/ebook). ix, 105 p. (2016).

Reviewer: Iwan Gawriljuk (Eisenach)

MSC: 76-02 76M25 76V05 76R99

Cite Review PDF

Full Text: DOI Link

Nefedov, N. N.; Ni, Minkang

Internal layers in the one-dimensional reaction-diffusion equation with a discontinuous reactive term. (English. Russian original) Zbl 1367.34082

Comput. Math. Math. Phys. 55, No. 12, 2001-2007 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 12, 2042-2048 (2015).

Reviewer: Klaus R. Schneider (Berlin)

MSC: 34E15 34B15 34E05 34A36

Cite Review PDF

Full Text: DOI

Strani, Marta

Metastable dynamics of internal interfaces for a convection-reaction-diffusion equation. (English) Zbl 1439.35212

Nonlinearity 28, No. 12, 4331-4368 (2015).

MSC: 35K20 35B36 35B40 35P15

Cite Review PDF

Full Text: DOI arXiv

Volkov, Vladimir; Nefedov, Nikolay; Antipov, Eugene

Asymptotic-numerical method for moving fronts in two-dimensional R-D-A problems. (English) Zbl 1359.65231

Dimov, Ivan (ed.) et al., Finite difference methods, theory and applications. 6th international conference, FDM 2014, Lozenetz, Bulgaria, June 18–23, 2014. Revised selected papers. Cham: Springer (ISBN 978-3-319-20238-9/pbk; 978-3-319-20239-6/ebook). Lecture Notes in Computer Science 9045, 408-416 (2015).

MSC: 65M99 35K57 35B25

Cite Review PDF

Full Text: DOI

Strani, Marta

Slow motion of internal shock layers for the Jin-Xin system in one space dimension. (English) Zbl 1316.35015

J. Dyn. Differ. Equations 27, No. 1, 1-27 (2015).

MSC: 35B25 35L50 35L67

Cite Review PDF

Full Text: DOI arXiv

Mascia, Corrado; Strani, Marta

Metastability for scalar conservation laws in a bounded domain. (English) Zbl 1331.35225

ESAIM, Proc. Surv. 45, 247-254 (2014).

MSC: 35L65 35L50

Cite Review PDF

Full Text: DOI

OA License

Antipov, E. A.; Levashova, N. T.; Nefedov, N. N.

Asymptotics of the front motion in the reaction-diffusion-advection problem. (English. Russian original) Zbl 1327.35174

Comput. Math. Math. Phys. 54, No. 10, 1536-1549 (2014); translation from Zh. Vychisl. Mat. Mat. Fiz. 54, No. 10, 1594-1607 (2014).

MSC: 35K57 35B25 35C20

Cite Review PDF

Full Text: DOI

Strani, Marta

On the metastable behavior of solutions to a class of parabolic systems. (English) Zbl 1327.35132

Asymptotic Anal. 90, No. 3-4, 325-344 (2014).

Reviewer: Ruxandra Stavre (Bucureşti)

MSC: 35K15 35B25 35K57 35L65

Cite Review PDF

Full Text: DOI arXiv

Askham, Travis; Greengard, Leslie

Norm-preserving discretization of integral equations for elliptic PDEs with internal layers. I: The one-dimensional case. (English) Zbl 1306.65234

SIAM Rev. 56, No. 4, 625-641 (2014).

MSC: 65L10 35J25 34B05 34B27

Cite Review PDF

Full Text: DOI arXiv

Kofanov, A. V.; Lisejkin, V. D.

Grid construction for discretely defined configurations. (Russian, English) Zbl 1299.65284

Zh. Vychisl. Mat. Mat. Fiz. 53, No. 6, 938-945 (2013); translation in Comput. Math. Math. Phys. 53, No. 6, 759-765 (2013).

MSC: 65N50

Cite Review PDF

Full Text: DOI

Levashova, N. T.; Nefedov, N. N.; Yagremtsev, A. V.

Contrast structures in the reaction-diffusion-advection equations in the case of balanced advection. (Russian, English) Zbl 1274.35190

Zh. Vychisl. Mat. Mat. Fiz. 53, No. 3, 365-376 (2013); translation in Comput. Math. Math. Phys. 53, No. 3, 273-283 (2013).

MSC: 35K57

Cite Review PDF

Full Text: DOI

Almgren, A.; Camassa, R.; Tiron, R.

Shear instability of internal solitary waves in Euler fluids with thin pycnoclines. (English) Zbl 1275.76100

J. Fluid Mech. 710, 324-361 (2012).

MSC: 76E15 76B25

Cite Review PDF

Full Text: DOI

Nefedov, N. N.; Davydova, M. A.

Contrast structures in multidimensional singularly perturbed reaction-diffusion-advection problems. (English. Russian original) Zbl 1257.35028

Differ. Equ. 48, No. 5, 745-755 (2012); translation from Differ. Uravn. 48, No. 5, 738-748 (2012).

MSC: 35B25 35K57 35K58 35K20 35B35

Cite Review PDF

Full Text: DOI

Nefedov, N. N.; Nikitin, A. G.

Boundary and internal layers in the reaction-diffusion problem with a nonlocal inhibitor. (Russian, English) Zbl 1249.35159

Zh. Vychisl. Mat. Mat. Fiz. 51, No. 6, 1081-1090 (2011); translation in Comput. Math. Math. Phys. 51, No. 6, 1011-1018 (2011).

MSC: 35K57

Cite Review PDF

Full Text: DOI

Merabet, Ismail; Chacha, D. A.; Nicaise, S.

Singular layers for transmission problems in thin shallow shell theory: rigid junction case. (English. Abridged French version) Zbl 1300.74029

C. R., Méc., Acad. Sci. Paris 338, No. 2, 102-106 (2010).

MSC: 74K25

Cite Review PDF

Full Text: DOI

Nefedov, N. N.; Davydova, M. A.

Periodic contrast structures in systems of the reaction-diffusion-advection type. (English. Russian original) Zbl 1213.35053

Differ. Equ. 46, No. 9, 1309-1321 (2010); translation from Differ. Uravn. 46, No. 9, 1300-1312 (2010).

MSC: 35B25 35K57 35B35 35C20

Cite Review PDF

Full Text: DOI

Vasil’eva, A. B.; Butuzov, V. F.; Nefedov, N. N.

Singularly perturbed problems with boundary and internal layers. (English. Russian original) Zbl 1207.35039

Proc. Steklov Inst. Math. 268, 258-273 (2010); translation from Trudy Mat. Inst. Steklova 268, 268-283 (2010).

Reviewer: Denise Huet (Nancy)

MSC: 35B25 35K10

Cite Review PDF

Full Text: DOI

Goldstein, R. J.; Ibele, W. E.; Patankar, S. V.; Simon, T. W.; Kuehn, T. H.; Strykowski, P. J.; Tamma, K. K.; Heberlein, J. V. R.; Davidson, J. H.; Bischof, J.; Kulacki, F. A.; Kortshagen, U.; Garrick, S.; Srinivasan, V.; Ghosh, K.; Mittal, R.

Heat transfer – a review of 2005 literature. (English) Zbl 1197.80002

Int. J. Heat Mass Transfer 53, No. 21-22, 4397-4447 (2010).

MSC: 80-00 80-02 80-03 01A90

Cite Review PDF

Full Text: DOI

Goldstein, R. J.; Ibele, W. E.; Patankar, S. V.; Simon, T. W.; Kuehn, T. H.; Strykowski, P. J.; Tamma, K. K.; Heberlein, J. V. R.; Davidson, J. H.; Bischof, J.; Kulacki, F. A.; Kortshagen, U.; Garrick, S.; Srinivasan, V.; Ghosh, K.; Mittal, R.

Heat transfer – a review of 2004 literature. (English) Zbl 1197.80001

Int. J. Heat Mass Transfer 53, No. 21-22, 4343-4396 (2010).

MSC: 80-00 80-02 80-03 01A90

Cite Review PDF

Full Text: DOI

Huet, Denise

A survey of topics in analysis and partial differential equations. (English) Zbl 1228.35006

Int. J. Pure Appl. Math. 62, No. 1, 79-128 (2010).

Reviewer: Daniel Ševčovič (Bratislava)

MSC: 35-02 35B41

Cite Review PDF

Béchet, F.; Millet, O.; Sanchez-Palencia, É.

Adaptive and anisotropic mesh strategy for thin shell problems. Case of inhibited parabolic shells. (English) Zbl 1215.74048

Int. J. Solids Struct. 46, No. 3-4, 534-556 (2009).

MSC: 74K25 74E10 74G10

Cite Review PDF

Full Text: DOI

Muscedere, Michael; Gobbert, Matthias K.

Parameter study of a reaction-diffusion system near the reactant coefficient asymptotic limit. (English) Zbl 1178.35204

Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 16, No. S1, Suppl., 64-71 (2009).

MSC: 35K57 65M06 65M20 65M50 80A30 35B25 35K51

Cite Review PDF

Bychkov, Vitaly; Marklund, Mattias; Modestov, Mikhail

The Rayleigh-Taylor instability and internal waves in quantum plasmas. (English) Zbl 1220.76078

Phys. Lett., A 372, No. 17, 3042-3045 (2008).

MSC: 76X05 76B55 76Y05 76E25

Cite Review PDF

Full Text: DOI arXiv

de Souza, C.; Béchet, F.; Leguillon, D.; Sanchez-Palencia, É.

Anisotropic adaptive mesh procedure for computing very thin hyperbolic shells. (English) Zbl 1143.74039

BIT 48, No. 2, 357-387 (2008).

MSC: 74K25 74G10 74S05

Cite Review PDF

Full Text: DOI

Liu, I-Chung; Andersson, Helge I.

Heat transfer over a bidirectional stretching sheet with variable thermal conditions. (English) Zbl 1148.80329

Int. J. Heat Mass Transfer 51, No. 15-16, 4018-4024 (2008).

MSC: 80A20 65L06

Cite Review PDF

Full Text: DOI

Bardakov, R. N.; Vasil’ev, A. Yu.; Chashechkin, Yu. D.

Calculation and measurement of conical beams of three-dimensional periodic internal waves excited by a vertically oscillating piston. (English. Russian original) Zbl 1354.76006

Fluid Dyn. 42, No. 4, 612-626 (2007); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 42, No. 4, 117-133 (2007).

MSC: 76-05 76D33

Cite Review PDF

Full Text: DOI

Guès, Olivier; Sueur, Franck

On 3D domain walls for the Landau Lifshitz equations. (English) Zbl 1131.35038

Dyn. Partial Differ. Equ. 4, No. 2, 143-165 (2007).

MSC: 35K50 35K55 35Q60 82D40 35B25 35C20

Cite Review PDF

Full Text: DOI

Eisenberg, Bob; Liu, Weishi

Poisson-Nernst-Planck systems for ion channels with permanent charges. (English) Zbl 1137.34022

SIAM J. Math. Anal. 38, No. 6, 1932-1966 (2007).

Reviewer: Gheorghe Moroşanu (Budapest)

MSC: 34C60 34A26 34E15 34B15

Cite Review PDF

Full Text: DOI

Hilhorst, D.; Karali, G.; Matano, H.; Nakashima, K.

Singular limit of a spatially inhomogeneous Lotka-Volterra competition-diffusion system. (English) Zbl 1133.35057

Commun. Partial Differ. Equations 32, No. 6, 879-933 (2007).

Reviewer: Wan-Tong Li (Lanzhou)

MSC: 35K57 35A20 35B25 35B05 92D25

Cite Review PDF

Full Text: DOI

Vasil’ev, A. Yu.; Chashechkin, Yu. D.

The generation of three-dimensional internal waves and attendant boundary layers in a viscous continuously stratified fluid. Construction of an analytical solution. (English. Russian original) Zbl 1200.76052

Fluid Dyn. 41, No. 6, 949-956 (2006); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2006, No. 6, 106-113 (2006).

MSC: 76D33 76D50

Cite Review PDF

Full Text: DOI

Goldstein, R. J.; Ibele, W. E.; Patankar, S. V.; Simon, T. W.; Kuehn, T. H.; Strykowski, P. J.; Tamma, K. K.; Heberlein, J. V. R.; Davidson, J. H.; Bischof, J.; Kulacki, F. A.; Kortshagen, U.; Garrick, S.; Srinivasan, V.

Heat transfer – a review of 2003 literature. (English) Zbl 1189.76002

Int. J. Heat Mass Transfer 49, No. 3-4, 451-534 (2006).

MSC: 80-00 80-03 80A20 76-00 76-03 01A90

Cite Review PDF

Full Text: DOI

Peregudin S. I.; Holodova, S. E.

Internal waves of small amplitude over nonsmooth bottom. (Russian) Zbl 1150.76356

Tr. Sredn. Mat. Obshch. 8, No. 2, 164-177 (2006).

Reviewer: Boris V. Loginov (Ul’yanovsk)

MSC: 76B55

Cite Review PDF

Nefedov, N. N.; Omel’chenko, O. E.; Recke, L.

Stationary internal layers in a reaction-advection-diffusion integro-differential system. (Russian, English) Zbl 1210.35151

Zh. Vychisl. Mat. Mat. Fiz. 46, No. 4, 624-646 (2006); translation in Comput. Math. Math. Phys. 46, No. 4, 594-615 (2006).

MSC: 35K57

Cite Review PDF

Nefedov, N. N.; Nikitin, A. G.

Method of differential inequalities for step-like contrast structures in singularly perturbed integro-differential equations in the spatially two-dimensional case. (English. Russian original) Zbl 1206.45013

Differ. Equ. 42, No. 5, 739-749 (2006); translation from Differ. Uravn. 42, No. 5, 690-700 (2006).

MSC: 45K05 45G10

Cite Review PDF

Full Text: DOI

Chashechkin, Yuli D.; Baydulov, Vasiliy G.; Kistovich, Anatoliy V.

Basic properties of free stratified flows. (English) Zbl 1138.76341

J. Eng. Math. 55, No. 1-4, 313-338 (2006).

MSC: 76D50 76M60

Cite Review PDF

Full Text: DOI

do Nascimento, Arnaldo Simal; de Moura, Renato José

The role of the equal-area condition in internal and superficial layered solutions to some nonlinear boundary value elliptic problems. (English) Zbl 1105.35009

Cazenave, Thierry (ed.) et al., Contributions to nonlinear analysis. A tribute to D. G. de Figueiredo on the occasion of his 70th birthday. Basel: Birkhäuser (ISBN 3-7643-7149-8/hbk). Progress in Nonlinear Differential Equations and their Applications 66, 415-427 (2006).

Reviewer: Denise Huet (Nancy)

MSC: 35B25 35J65 35B35 35K57 35R35

Cite Review PDF

Gues, Olivier; Rauch, Jeffrey

Nonlinear asymptotics for hyperbolic internal waves of small width. (English) Zbl 1096.35083

J. Hyperbolic Differ. Equ. 3, No. 2, 269-295 (2006).

MSC: 35L60 35B40 35L67

Cite Review PDF

Full Text: DOI

Chashechkin, Yuli D.

Mathematical and laboratory modelling of stratified flows. (English) Zbl 1177.76111

Mihăilescu-Suliciu, Mihaela (ed.), New trends in continuum mechanics. Proceedings of the international conference, Constanţa, Romania, September 8–12, 2003. Bucharest: Theta (ISBN 973-85432-5-8). Theta Ser. Adv. Math. 3, 55-66 (2005).

Reviewer: Tomislav Zlatanovski (Skopje)

MSC: 76N99 76N20 76D33 76D10 76D50 76U05 86A05

Cite Review PDF

Omel’chenko, O. E.

Periodic solutions to the Dirichlet boundary value problem for a quasilinear parabolic equation with low diffusivity. (English. Russian original) Zbl 1129.35006

Dokl. Math. 72, No. 3, 946-948 (2005); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 405, No. 5, 595-597 (2005).

Reviewer: Lutz Recke (Berlin)

MSC: 35B25 35K60 35B10

Cite Review PDF

Hughes, T. J. R.; Cottrell, J. A.; Bazilevs, Y.

Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement. (English) Zbl 1151.74419

Comput. Methods Appl. Mech. Eng. 194, No. 39-41, 4135-4195 (2005).

MSC: 74S05 74S30 76M10 76M25 65N50

Cite Review PDF

Full Text: DOI HAL

Ramos, J. I.

A smooth locally-analytical technique for singularly perturbed two-point boundary-value problems. (English) Zbl 1067.65074

Appl. Math. Comput. 163, No. 3, 1123-1142 (2005).

MSC: 65L10 34B15 34E15

Cite Review PDF

Full Text: DOI

do Nascimento, Arnaldo; Crema, Janete

A geometric sufficient condition for existence of stable transition layers for some reacion-diffusion equations. (English) Zbl 1090.35025

Mat. Contemp. 27, 53-73 (2004).

MSC: 35B25 35K57 35K20 35B05

Cite Review PDF

Carey, Graham F.; Anderson, M.; Carnes, B.; Kirk, B.

Some aspects of adaptive grid technology related to boundary and interior layers. (English) Zbl 1049.65100

J. Comput. Appl. Math. 166, No. 1, 55-86 (2004).

MSC: 65M50 65M60 35K57 35K15 65N50 65N12 65M12 65M15 65N15 65N30 82D37 76N15 76M10

Cite Review PDF

Full Text: DOI

Karamian, P.; Sanchez-Hubert, J.

Boundary layers in thin elastic shells with developable middle surface. (English) Zbl 1006.74064

Eur. J. Mech., A, Solids 21, No. 1, 13-47 (2002).

MSC: 74K25 74G10

Cite Review PDF

Full Text: DOI

Vasil’eva, A. B.

On some periodic contrast structures. (Russian) Zbl 1017.35015

Mat. Model. 13, No. 12, 43-45 (2001).

Reviewer: Lutz Recke (Berlin)

MSC: 35B25 35K60 35B10

Cite Review PDF

Full Text: MNR

Yarin, A. L.

Stationary d. c. streaming due to shape oscillations of a droplet and its effect on mass transfer in liquid-liquid systems. (English) Zbl 1017.76018

J. Fluid Mech. 444, 321-342 (2001).

MSC: 76B55 76B45 76D50

Cite Review PDF

Full Text: DOI

Wong, A. B. D.; Griffiths, R. W.; Hughes, G. O.

Shear layers driven by turbulent plumes. (English) Zbl 1013.76036

J. Fluid Mech. 434, 209-241 (2001).

MSC: 76F25 76-05

Cite Review PDF

Full Text: DOI

Mayne, David A.; Usmani, Asif S.; Crapper, Martin

\(h\)-adaptive finite element solution of unsteady thermally driven cavity problem. (English) Zbl 1012.76048

Int. J. Numer. Methods Heat Fluid Flow 11, No. 2-3, 172-194 (2001).

MSC: 76M10 76D05 80A20

Cite Review PDF

Full Text: DOI

Lin, Xiao-Biao

Construction and asymptotic stability of structurally stable internal layer solutions. (English) Zbl 0986.34043

Trans. Am. Math. Soc. 353, No. 8, 2983-3043 (2001).

Reviewer: P.Habets (Louvain-La-Neuve)

MSC: 34D15 34D30 35B25 35C20 37C29 34C37 34E05 34E15

Cite Review PDF

Full Text: DOI

Castro, Manuel; Macías, Jorge; Parés, Carlos

A \(Q\)-scheme for a class of systems of coupled conservation laws with source term. Application to a two-layer 1-D shallow water system. (English) Zbl 1094.76046

M2AN, Math. Model. Numer. Anal. 35, No. 1, 107-127 (2001).

MSC: 76M20 35Q51 65M60 76B55 76B70

Cite Review PDF

Full Text: DOI Numdam EuDML

Butuzov, V. F.; Nedel’ko, I. V.

On the global domain of influence of solutions with internal layers. (English. Russian original) Zbl 1050.35007

Dokl. Math. 62, No. 1, 26-27 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 373, No. 2, 155-156 (2000).

Reviewer: Messoud A. Efendiev (Berlin)

MSC: 35B25 35K55 35K60 35B40

Cite Review PDF

Sakamoto, Kunimochi

Spatial homogenization and internal layers in a reaction-diffusion system. (English) Zbl 0980.35026

Hiroshima Math. J. 30, No. 3, 377-402 (2000).

Reviewer: Ibrahim Aganović (Zagreb)

MSC: 35B25 35K57 35B35

Cite Review PDF

Full Text: DOI Link

Nikolova, Mariana

Error indicators for adaptive refinement of singularly perturbed convection-diffusion problems. (English) Zbl 0968.65081

Neittaanmäki, Pekka (ed.) et al., ENUMATH 99. Numerical mathematics and advanced applications. Proceedings of the 3rd European conference, Jyväskylä, Finland, July 26-30, 1999. Singapore: World Scientific. 154-161 (2000).

MSC: 65N15 65N50 65N06 35B25 35J25

Cite Review PDF

Bohé, Adriana

Exponential sensitivity in some singularly perturbed boundary value problems. (English) Zbl 0969.34054

Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1-7, 1999. Vol. 1. Singapore: World Scientific. 82-84 (2000).

MSC: 34E18 34B15

Cite Review PDF

Nefedov, Nikolay N.

Asymptotics, existence and stability of solutions with internal layers of fast and slow elliptic systems. (English) Zbl 0961.35039

Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1-7, 1999. Vol. 2. Singapore: World Scientific. 1300-1302 (2000).

MSC: 35J35 35B25 35B40 35A05 35B35

Cite Review PDF

Taniguchi, Masaharu

Modified slep method by uniform convergence theorems for linearized eigenvalue problems. (English) Zbl 0956.35017

Kenmochi, N. (ed.), Proceedings of the international conference on free boundary problems: theory and applications, Chiba, Japan, November 7-13, 1999. I. Tokyo: Gakkōtosho. GAKUTO Int. Ser., Math. Sci. Appl. 13, 369-384 (2000).

MSC: 35B35 35K57 35B25

Cite Review PDF

Zhao, Q.; Staab, P. L.; Kassoy, D. R.; Kirkkopru, K.

Acoustically generated vorticity in an internal flow. (English) Zbl 0989.76076

J. Fluid Mech. 413, 247-285 (2000).

Reviewer: A.Trad (Paris)

MSC: 76Q05 76M45 80A25

Cite Review PDF

Full Text: DOI

Liu, Chun

Dynamic theory for incompressible smectic-A liquid crystals: existence and regularity. (English) Zbl 1021.35083

Discrete Contin. Dyn. Syst. 6, No. 3, 591-608 (2000).

Reviewer: Messoud Efendiev (Berlin)

MSC: 35Q35 76A15 35D05

Cite Review PDF

Full Text: DOI

OA License

Persson, Bo N. J.

Sliding friction. Physical principles and applications. 2nd ed. (English) Zbl 0966.74001

NanoScience and Technology. Berlin: Springer. xi, 515 p. (2000).

Reviewer: Nicolae Sandru (Bucureşti)

MSC: 74-02 74A55 74M10

Cite Review PDF

Butuzov, V. F.; Nedel’ko, I. V.

Existence, local uniqueness, and asymptotics of two-dimensional periodic steplike contrast structures. (English. Russian original) Zbl 0965.35074

Comput. Math. Math. Phys. 39, No. 5, 779-798 (1999); translation from Zh. Vychisl. Mat. Mat. Fiz. 39, No. 5, 812-831 (1999).

MSC: 35J70 35B40 35B05 35B25

Cite Review PDF

Velarde, M. G.; Rednikov, A. Ye.; Linde, H.

Waves generated by surface-tension gradients and instability. (English) Zbl 0993.76027

Shyy, Wei (ed.) et al., Fluid dynamics at interfaces. Papers from the memorial symposium for Professor Chia-Shun Yih held in Gainesville, FL, USA, June 1998. Cambridge: Cambridge University Press. 43-56 (1999).

Reviewer: Oleg Titow (Berlin)

MSC: 76E17 76B45 76B55 76D50 76D45

Cite Review PDF

Skalický, T.; Roos, H.-G.

Anisotropic mesh refinement for problems with internal and boundary layers. (English) Zbl 0965.76047

Int. J. Numer. Methods Eng. 46, No. 11, 1933-1953 (1999).

MSC: 76M10 76R99

Cite Review PDF

Full Text: DOI

Iliescu, Traian

A flow-aligning algorithm for convection-dominated problems. (English) Zbl 0968.76038

Int. J. Numer. Methods Eng. 46, No. 7, 993-1000 (1999).

MSC: 76M10 76R99

Cite Review PDF

Full Text: DOI

Shih, Yin-Tzer; Elman, Howard C.

Modified streamline diffusion schemes for convection-diffusion problems. (English) Zbl 0957.76035

Comput. Methods Appl. Mech. Eng. 174, No. 1-2, 137-151 (1999).

MSC: 76M10 76R99

Cite Review PDF

Full Text: DOI

Hale, Jack K.; Salazar, Domingo

Boundary layers in a semilinear parabolic problem. (English) Zbl 0954.35086

Tohoku Math. J., II. Ser. 51, No. 3, 421-432 (1999).

Reviewer: L.G.Vulkov (Russe)

MSC: 35K57 35B25 35B40 35B35

Cite Review PDF

Full Text: DOI

Hale, Jack K.; González, José Domingo Salazar

Attractors of some reaction diffusion problems. (English) Zbl 0937.35091

SIAM J. Math. Anal. 30, No. 5, 963-984 (1999).

Reviewer: P.Polacik (Bratislava)

MSC: 35K60 35B41 35B35 35K57 35B25

Cite Review PDF

Full Text: DOI

Bohé, Adriana

The shock location for a class of sensitive boundary value problems. (English) Zbl 0933.34013

J. Math. Anal. Appl. 235, No. 1, 295-314 (1999).

Reviewer: J.Šimša (Brno)

MSC: 34B16 34E20 34B15 76J20 76G25 76N20 76N10

Cite Review PDF

Full Text: DOI

Zaitsev, F. S.; Longinov, V. V.; O’Brien, M. R.; Tanner, R.

Difference schemes for the time evolution of three-dimensional kinetic equations. (English) Zbl 0934.76064

J. Comput. Phys. 147, No. 2, 239-264 (1998).

MSC: 76M20 76X05 78M20

Cite Review PDF

Full Text: DOI

Slinn, Donald N.; Riley, J. J.

A model for the simulation of turbulent boundary layers in an incompressible stratified flow. (English) Zbl 0936.76027

J. Comput. Phys. 144, No. 2, 550-602 (1998).

MSC: 76F65 76F40 76F45 76M20

Cite Review PDF

Full Text: DOI

Wu, Xiaohua; Squires, Kyle D.

Numerical investigation of the turbulent boundary layer over a bump. (English) Zbl 0926.76082

J. Fluid Mech. 362, 229-271 (1998).

MSC: 76M20 76F10 76D05 76D10

Cite Review PDF

Full Text: DOI

Brunovsky, Pavol

\(S\)-shaped bifurcation of a singularly perturbed boundary value problem. (English) Zbl 0946.34019

J. Differ. Equations 145, No. 1, 52-100 (1998).

Reviewer: Klaus R.Schneider (Berlin)

MSC: 34B16 34C23 34E15 34B15

Cite Review PDF

Full Text: DOI

Sakamoto, Kunimochi

Internal layers in high-dimensional domains. (English) Zbl 0902.35040

Proc. R. Soc. Edinb., Sect. A, Math. 128, No. 2, 359-401 (1998).

Reviewer: Lubomira Softova (Sofia)

MSC: 35J65 35B40 35J55 35B05

Cite Review PDF

Full Text: DOI

Sartoris, Guido E.

A 3D rectangular mixed finite element method to solve the stationary semiconductor equations. (English) Zbl 0911.65131

SIAM J. Sci. Comput. 19, No. 2, 387-403 (1998).

Reviewer: G.Hedstrom (Livermore)

MSC: 65Z05 65N50 35Q60 65N30 78A55

Cite Review PDF

Full Text: DOI

Found 170 Documents (Results 1–100)

Asymptotically stable solutions with boundary and internal layers in direct and inverse problems for a singularly perturbed heat equation with nonlinear thermal diffusion. (English. Russian original) Zbl 07891406

Internal layer intersecting the boundary of a domain in a singular advection-diffusion equation. (English) Zbl 1528.35111

Fitted mesh numerical method for a coupled system of singularly perturbed reaction-diffusion Robin boundary value problem having boundary and internal layers. (English) Zbl 1517.65069

Contrast structures in the reaction-advection-diffusion problem appearing in a drift-diffusion model of a semiconductor in the case of nonsmooth reaction. (English. Russian original) Zbl 1522.34080

Existence and stability of a stationary solution of the system of diffusion equations in a medium with discontinuous characteristics under various quasimonotonicity conditions. (English. Russian original) Zbl 1516.35231

Boundary-layer evolution over long wind farms. (English) Zbl 1500.76044

Near-critical reflection of internal waves. (English) Zbl 1472.35286

Stable transition layers in an unbalanced bistable equation. (English) Zbl 1467.35030

On the motion, amplification, and blow-up of fronts in Burgers-type equations with quadratic and modular nonlinearity. (English. Russian original) Zbl 1477.35017

Modeling of steep layers in singularly perturbed diffusion-reaction equation via flexible fine-scale basis. (English) Zbl 1506.65220

Internal layers for a quasi-linear singularly perturbed delay differential equation. (English) Zbl 1455.34077

Asymptotic analysis of an advection-diffusion equation involving interacting boundary and internal layers. (English) Zbl 1452.35013

Nonuniqueness of an indefinite nonlinear diffusion problem in population genetics. (English) Zbl 1439.35032

Nonlinear dynamics of forced baroclinic critical layers. (English) Zbl 1430.76106

Thin-layer inertial effects in plasticity and dynamics in the Prandtl problem. (English) Zbl 07805121

A new tailored finite point method for strongly anisotropic diffusion equation on misaligned grids. (English) Zbl 1429.65269

Asymptotic stability of a stationary solution of a multidimensional reaction-diffusion equation with a discontinuous source. (English. Russian original) Zbl 1423.35232

Asymptotically Lyapunov-stable solutions with boundary and internal layers in the stationary reaction-diffusion-advection problems with a small transfer. (English) Zbl 1434.65306

On the existence and asymptotic stability of periodic contrast structures in quasilinear reaction-advection-diffusion equations. (English) Zbl 1416.35027

Propagation of singularities in shells of non-uniform geometrical nature. A numerical investigation. (English) Zbl 1406.74465

Synthetic generation of equilibrium boundary layer turbulence from modeled statistics. (English) Zbl 1390.76102

New scenario of turbulence theory and wall-bounded turbulence: theoretical significance. (English) Zbl 1506.76046

Wave boundary layers in a stratified fluid. (English) Zbl 1419.76202

Boundary-layer development and gravity waves in conventionally neutral wind farms. (English) Zbl 1383.76275

Asymptotic-numerical method for the location and dynamics of internal layers in singular perturbed parabolic problems. (English) Zbl 1368.65167

Stabilized and inexact adaptive methods for capturing internal layers in quasilinear PDE. (English) Zbl 1346.65051

Slow dynamics in reaction-diffusion systems. (English) Zbl 1342.35152

Adaptive discontinuous Galerkin methods for non-linear reactive flows. (English) Zbl 1354.76005

Internal layers in the one-dimensional reaction-diffusion equation with a discontinuous reactive term. (English. Russian original) Zbl 1367.34082

Metastable dynamics of internal interfaces for a convection-reaction-diffusion equation. (English) Zbl 1439.35212

Asymptotic-numerical method for moving fronts in two-dimensional R-D-A problems. (English) Zbl 1359.65231

Slow motion of internal shock layers for the Jin-Xin system in one space dimension. (English) Zbl 1316.35015

Metastability for scalar conservation laws in a bounded domain. (English) Zbl 1331.35225

Asymptotics of the front motion in the reaction-diffusion-advection problem. (English. Russian original) Zbl 1327.35174

On the metastable behavior of solutions to a class of parabolic systems. (English) Zbl 1327.35132

Norm-preserving discretization of integral equations for elliptic PDEs with internal layers. I: The one-dimensional case. (English) Zbl 1306.65234

Grid construction for discretely defined configurations. (Russian, English) Zbl 1299.65284

Contrast structures in the reaction-diffusion-advection equations in the case of balanced advection. (Russian, English) Zbl 1274.35190

Shear instability of internal solitary waves in Euler fluids with thin pycnoclines. (English) Zbl 1275.76100

Contrast structures in multidimensional singularly perturbed reaction-diffusion-advection problems. (English. Russian original) Zbl 1257.35028

Boundary and internal layers in the reaction-diffusion problem with a nonlocal inhibitor. (Russian, English) Zbl 1249.35159

Singular layers for transmission problems in thin shallow shell theory: rigid junction case. (English. Abridged French version) Zbl 1300.74029

Periodic contrast structures in systems of the reaction-diffusion-advection type. (English. Russian original) Zbl 1213.35053

Singularly perturbed problems with boundary and internal layers. (English. Russian original) Zbl 1207.35039

Heat transfer – a review of 2005 literature. (English) Zbl 1197.80002

Heat transfer – a review of 2004 literature. (English) Zbl 1197.80001

A survey of topics in analysis and partial differential equations. (English) Zbl 1228.35006

Adaptive and anisotropic mesh strategy for thin shell problems. Case of inhibited parabolic shells. (English) Zbl 1215.74048

Parameter study of a reaction-diffusion system near the reactant coefficient asymptotic limit. (English) Zbl 1178.35204

The Rayleigh-Taylor instability and internal waves in quantum plasmas. (English) Zbl 1220.76078

Anisotropic adaptive mesh procedure for computing very thin hyperbolic shells. (English) Zbl 1143.74039

Heat transfer over a bidirectional stretching sheet with variable thermal conditions. (English) Zbl 1148.80329

Calculation and measurement of conical beams of three-dimensional periodic internal waves excited by a vertically oscillating piston. (English. Russian original) Zbl 1354.76006

On 3D domain walls for the Landau Lifshitz equations. (English) Zbl 1131.35038

Poisson-Nernst-Planck systems for ion channels with permanent charges. (English) Zbl 1137.34022

Singular limit of a spatially inhomogeneous Lotka-Volterra competition-diffusion system. (English) Zbl 1133.35057

The generation of three-dimensional internal waves and attendant boundary layers in a viscous continuously stratified fluid. Construction of an analytical solution. (English. Russian original) Zbl 1200.76052

Heat transfer – a review of 2003 literature. (English) Zbl 1189.76002

Internal waves of small amplitude over nonsmooth bottom. (Russian) Zbl 1150.76356

Stationary internal layers in a reaction-advection-diffusion integro-differential system. (Russian, English) Zbl 1210.35151

Method of differential inequalities for step-like contrast structures in singularly perturbed integro-differential equations in the spatially two-dimensional case. (English. Russian original) Zbl 1206.45013

Basic properties of free stratified flows. (English) Zbl 1138.76341

The role of the equal-area condition in internal and superficial layered solutions to some nonlinear boundary value elliptic problems. (English) Zbl 1105.35009

Nonlinear asymptotics for hyperbolic internal waves of small width. (English) Zbl 1096.35083

Mathematical and laboratory modelling of stratified flows. (English) Zbl 1177.76111

Periodic solutions to the Dirichlet boundary value problem for a quasilinear parabolic equation with low diffusivity. (English. Russian original) Zbl 1129.35006

Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement. (English) Zbl 1151.74419

A smooth locally-analytical technique for singularly perturbed two-point boundary-value problems. (English) Zbl 1067.65074

A geometric sufficient condition for existence of stable transition layers for some reacion-diffusion equations. (English) Zbl 1090.35025

Some aspects of adaptive grid technology related to boundary and interior layers. (English) Zbl 1049.65100

Boundary layers in thin elastic shells with developable middle surface. (English) Zbl 1006.74064

On some periodic contrast structures. (Russian) Zbl 1017.35015

Stationary d. c. streaming due to shape oscillations of a droplet and its effect on mass transfer in liquid-liquid systems. (English) Zbl 1017.76018

Shear layers driven by turbulent plumes. (English) Zbl 1013.76036