Fokas, A. S.; Latifi, A. The Korteweg-de Vries equation with forcing involving products of eigenfunctions. (English) Zbl 1540.37092 J. Math. Phys. Anal. Geom. 19, No. 1, 107-127 (2023). Reviewer: Julie L. Levandosky (Framingham) MSC: 37K10 35Q15 35Q53 76B45 78A60 × Cite Format Result Cite Review PDF Full Text: DOI
Ferrand, Martin; Hérard, Jean-Marc; Norddine, Thomas; Ruget, Simon A scheme using the wave structure of second-moment turbulent models for incompressible flows. (English) Zbl 1533.65140 Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 2. Hyperbolic and related problems. FVCA10, Strasbourg, France, October 30 – November 3, 2023. Cham: Springer. Springer Proc. Math. Stat. 433, 111-119 (2023). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M08 65M06 65N08 76F25 76D05 35B05 35A01 35A02 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Sheng, Wancheng; Xiao, Tao; Zhang, Qinglong Riemann problem for isentropic magnetogasdynamics in a variable cross-section duct. (English) Zbl 1529.35409 Stud. Appl. Math. 149, No. 1, 266-292 (2022). MSC: 35Q35 76W05 76N15 76B03 76E25 35B35 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Antipov, Y. A.; Zemlyanova, A. Y. Riemann-Hilbert problem on a torus and a vortex patch in a wedge. (English) Zbl 1501.35275 Complex Var. Elliptic Equ. 67, No. 12, 2878-2906 (2022). MSC: 35Q15 76B07 76B47 35R35 × Cite Format Result Cite Review PDF Full Text: DOI
Corli, Andrea; Razafison, Ulrich; Rosini, Massimiliano D. Coherence and flow-maximization of a one-way valve. (English) Zbl 1498.35357 ESAIM, Math. Model. Numer. Anal. 56, No. 5, 1715-1739 (2022). MSC: 35L65 35L67 35Q31 76B75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Wang, Jing Na; Zhou, Yong; Alsaedi, Ahmed; Ahmad, Bashir Well-posedness and regularity of fractional Rayleigh-Stokes problems. (English) Zbl 1492.35235 Z. Angew. Math. Phys. 73, No. 4, Paper No. 161, 14 p. (2022). MSC: 35Q35 35R11 35D30 76D03 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Jing Na; Alsaedi, Ahmed; Ahmad, Bashir; Zhou, Yong Well-posedness and blow-up results for a class of nonlinear fractional Rayleigh-Stokes problem. (English) Zbl 1503.35278 Adv. Nonlinear Anal. 11, 1579-1597 (2022). MSC: 35R11 26A33 35Q35 76D03 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Aleksyuk, Andrey I.; Malakhov, Maxim A.; Belikov, Vitaly V. The exact Riemann solver for the shallow water equations with a discontinuous bottom. (English) Zbl 07517100 J. Comput. Phys. 450, Article ID 110801, 14 p. (2022). MSC: 76Bxx 76Mxx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Protas, Bartosz; Sakajo, Takashi Rotating equilibria of vortex sheets. (English) Zbl 1490.76058 Physica D 403, Article ID 132286, 9 p. (2020). MSC: 76B47 76U05 76M40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Aleksyuk, Andrey I.; Belikov, Vitaly V. The uniqueness of the exact solution of the Riemann problem for the shallow water equations with discontinuous bottom. (English) Zbl 1452.76028 J. Comput. Phys. 390, 232-248 (2019). MSC: 76B03 35R05 × Cite Format Result Cite Review PDF Full Text: DOI
Grinevich, P. G.; Santini, P. M. The finite-gap method and the periodic NLS Cauchy problem of anomalous waves for a finite number of unstable modes. (English. Russian original) Zbl 1454.35340 Russ. Math. Surv. 74, No. 2, 211-263 (2019); translation from Usp. Mat. Nauk 74, No. 2, 27-80 (2019). MSC: 35Q55 37K10 35C08 74J30 78A60 76B25 76B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Corli, Andrea; Rosini, Massimiliano D. Coherence of coupling Riemann solvers for gas flows through flux-maximizing valves. (English) Zbl 1437.35479 SIAM J. Appl. Math. 79, No. 6, 2593-2614 (2019). MSC: 35L65 35L67 76B75 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Gui-Qiang; Slemrod, Marshall; Wang, Dehua Fluids, geometry, and the onset of Navier-Stokes turbulence in three space dimensions. (English) Zbl 1398.76060 Physica D 376-377, 23-30 (2018). MSC: 76F02 53C42 76B03 76F10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aguillon, Nina; Audusse, Emmanuel; Godlewski, Edwige; Parisot, Martin Analysis of the Riemann problem for a shallow water model with two velocities. (English) Zbl 1403.35224 SIAM J. Math. Anal. 50, No. 5, 4861-4888 (2018). MSC: 35Q35 35L40 35L67 76L05 76B03 76B07 × Cite Format Result Cite Review PDF Full Text: DOI
Nasser, Mohamed M. S.; Green, Christopher C. A fast numerical method for ideal fluid flow in domains with multiple stirrers. (English) Zbl 1388.30009 Nonlinearity 31, No. 3, 815-837 (2018). MSC: 30C30 76B99 35Q15 65E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lu, Haitian; Zhu, Jun; Wang, Chunwu; Wang, Donghong; Zhao, Ning A Riemann problem based method for solving compressible and incompressible flows. (English) Zbl 1386.76174 J. Comput. Phys. 330, 1-20 (2017). MSC: 76T10 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Yin, Haiyan The stability of contact discontinuity for compressible planar magnetohydrodynamics. (English) Zbl 1357.76106 Kinet. Relat. Models 10, No. 4, 1235-1253 (2017). MSC: 76W05 76D33 35B35 × Cite Format Result Cite Review PDF Full Text: DOI
Boger, Markus; Jaegle, Felix; Klein, Rupert; Munz, Claus-Dieter Coupling of compressible and incompressible flow regions using the multiple pressure variables approach. (English) Zbl 1307.76077 Math. Methods Appl. Sci. 38, No. 3, 458-477 (2015). MSC: 76T10 65M08 × Cite Format Result Cite Review PDF Full Text: DOI
Chuvakhov, P. V. A Riemann solver for RANS. (Russian, English) Zbl 1313.35242 Zh. Vychisl. Mat. Mat. Fiz. 54, No. 1, 126-138 (2014); translation in Comput. Math. Math. Phys. 54, No. 1, 135-147 (2014). MSC: 35Q30 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Karelsky, Kirill V.; Petrosyan, Arakel S.; Slavin, Alexander G. Quasi-two-layer finite-volume scheme for modelling shallow water flows over an arbitrary bed in the presence of external force. II: Algorithm applications and numerical results. (English) Zbl 1291.65268 Russ. J. Numer. Anal. Math. Model. 29, No. 3, 179-195 (2014). MSC: 65M08 76B07 76B15 35Q35 74S10 76S05 × Cite Format Result Cite Review PDF Full Text: DOI
Karelsky, Kirill V.; Petrosyan, Arakel S.; Slavin, Aleksander G. Quasi-two-layer finite-volume scheme for modelling shallow water flows over an arbitrary bed in the presence of external force. I: Algorithm development and validation. (English) Zbl 1357.76048 Russ. J. Numer. Anal. Math. Model. 29, No. 1, 25-46 (2014). MSC: 76M12 76B07 76B15 65M08 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Burenin, A. A.; Dudko, O. V.; Lapteva, A. A. About the laws of propagation of shape deformations. (Russian) Zbl 1249.74015 Sib. Zh. Ind. Mat. 14, No. 4, 14-23 (2011). MSC: 74B20 × Cite Format Result Cite Review PDF
Degond, Pierre; Navoret, Laurent; Bon, Richard; Sanchez, David Congestion in a macroscopic model of self-driven particles modeling gregariousness. (English) Zbl 1187.82086 J. Stat. Phys. 138, No. 1-3, 85-125 (2010). MSC: 82C22 92D50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sekhar, T. Raja; Sharma, V. D. Interaction of shallow water waves. (English) Zbl 1191.35201 Stud. Appl. Math. 121, No. 1, 1-25 (2008). MSC: 35Q15 76B15 35B30 76B03 35B35 × Cite Format Result Cite Review PDF Full Text: DOI
Shargorodsky, E.; Toland, J. F. Bernoulli free-boundary problems. (English) Zbl 1167.35001 Mem. Am. Math. Soc. 914, 70 p. (2008). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35-02 35R35 76B07 35Q15 35B38 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Antipov, Y. A.; Silvestrov, V. V. Double cavity flow past a wedge. (English) Zbl 1152.76455 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 464, No. 2099, 3021-3038 (2008). MSC: 76M40 76B99 × Cite Format Result Cite Review PDF Full Text: DOI
Athanassenas, Maria; Lancaster, Kirk CMC capillary surfaces at reentrant corners. (English) Zbl 1148.76010 Pac. J. Math. 234, No. 2, 201-228 (2008). MSC: 76B45 53A10 × Cite Format Result Cite Review PDF Full Text: DOI
Didenko, Victor D.; Silbermann, Bernd Approximation of additive convolution-like operators. Real C*-algebra approach. (English) Zbl 1160.65002 Frontiers in Mathematics. Basel: Birkhäuser (ISBN 978-3-7643-8750-1/pbk). xii, 306 p. (2008). Reviewer: Roland Duduchava (Tbilisi) MSC: 65-02 65N38 31A10 31A30 35Q15 45A05 45B05 45Exx 45L05 74B10 74G15 47B35 47Gxx 47N40 65E05 65Jxx 65R20 74Kxx 74S15 76D05 76M15 × Cite Format Result Cite Review PDF
Crenshaw, Julie; Lancaster, Kirk Behavior of some CMC capillary surfaces at convex corners. (English) Zbl 1136.76010 Pac. J. Math. 224, No. 2, 231-246 (2006). Reviewer: Erich Miersemann (Leipzig) MSC: 76B45 76D45 49Q05 53A10 × Cite Format Result Cite Review PDF Full Text: DOI
Keyfitz, Barbara Lee; Sever, Michael; Zhang, Fu Viscous singular shock structure for a nonhyperbolic two-fluid model. (English) Zbl 1077.35091 Nonlinearity 17, No. 5, 1731-1747 (2004). Reviewer: V. D. Sharma (Mumbai) MSC: 35L65 35M20 35L67 34C37 76T99 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Krichever, I.; Mineev-Weinstein, M.; Wiegmann, P.; Zabrodin, A. Laplacian growth and Whitham equations of soliton theory. (English) Zbl 1078.76025 Physica D 198, No. 1-2, 1-28 (2004). MSC: 76D27 76B25 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ulitko, A. F. A generalized Riemann boundary-value problem arising in the consideration of the Stokes flow near a half-sphere, and its solution. (Ukrainian) Zbl 1083.35100 Mat. Metody Fiz.-Mekh. Polya 46, No. 2, 51-61 (2003). Reviewer: V. V. Vlasov (Moskva) MSC: 35Q30 76D07 30E25 35C15 76D03 76M40 × Cite Format Result Cite Review PDF
Keyfitz, Barbara Lee; Sanders, Richard; Sever, Michael Lack of hyperbolicity in the two-fluid model for two-phase incompressible flow. (English) Zbl 1055.35074 Discrete Contin. Dyn. Syst., Ser. B 3, No. 4, 541-563 (2003). Reviewer: Stefan Balint (Timişoara) MSC: 35L67 35L65 76T99 76D99 76L05 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Rossow, C.-C. A blended pressure/density based method for the computation of incompressible and compressible flows. (English) Zbl 1047.76062 J. Comput. Phys. 185, No. 2, 375-398 (2003). MSC: 76M12 76N15 76B99 × Cite Format Result Cite Review PDF Full Text: DOI
Bashkin, V. A.; Egorov, I. V.; Ivanov, D. V.; Pafnut’ev, V. V. Three-dimensional laminar streamlining of axially symmetric bodies by supersonic gas flow. (Russian, English) Zbl 1140.76319 Zh. Vychisl. Mat. Mat. Fiz. 42, No. 12, 1864-1874 (2002); translation in Comput. Math. Math. Phys. 42, No. 12, 1792-1801 (2002). Reviewer: Andrei Zemskov (Moskva) MSC: 76D05 76M12 76J20 × Cite Format Result Cite Review PDF
Young, D. L.; Chang, T. J.; Eldho, T. I. The Riemann complex boundary element method for the solutions of two-dimensional elliptic equations. (English) Zbl 1014.65124 Appl. Math. Modelling 26, No. 9, 893-911 (2002). MSC: 65N38 35J05 76M15 35J25 76B07 × Cite Format Result Cite Review PDF Full Text: DOI
Pishevar, A. R.; Ahmadikia, H. On the credibility of an algebraic turbulence model in predicting two-dimensional injection flows. (English) Zbl 1195.76153 Iran. J. Sci. Technol., Trans. B, Technol. 25, No. 2, 231-240, 321 (2001). MSC: 76D05 76F99 76M10 × Cite Format Result Cite Review PDF
Wesseling, P.; van der Heul, D. R. Uniformly effective numerical methods for hyperbolic systems. (English) Zbl 1017.76056 Computing 66, No. 3, 249-267 (2001). MSC: 76M12 76N15 76B10 76L05 × Cite Format Result Cite Review PDF Full Text: DOI
Gunzburger, Max D. Sensitivities, adjoints and flow optimization. (English) Zbl 0962.76030 Int. J. Numer. Methods Fluids 31, No. 1, 53-78 (1999). MSC: 76D55 × Cite Format Result Cite Review PDF Full Text: DOI
Teshukov, V. M. Unsteady interaction of uniform vortex flows. (English. Russian original) Zbl 0929.76027 Prikl. Mekh. Tekh. Fiz. 39, No. 5, 55-66 (1998); translation in J. Appl. Mech. Tech. Phys. 39, No. 5, 699-709 (1998). Reviewer: Yu.A.Bogan (Novosibirsk) MSC: 76B47 35C10 × Cite Format Result Cite Review PDF
Lardat, Raphaël; Bertagnolio, Franck; Daube, Olivier The velocity-vorticity formulation on staggered grid: A fractional step method. (La formulation vitesse-tourbillon en maillage décalé: Une méthode de projection.) (French. Abridged English version) Zbl 0881.76065 C. R. Acad. Sci., Paris, Sér. II, Fasc. b 324, No. 12, 747-753 (1997). MSC: 76M20 76D05 × Cite Format Result Cite Review PDF
Shi, J.; Toro, E. F. A Riemann-problem-based approach for steady incompressible flows. (English) Zbl 0969.76553 Int. J. Numer. Methods Heat Fluid Flow 6, No. 7, 81-93 (1996). MSC: 76M12 76D05 76R99 × Cite Format Result Cite Review PDF Full Text: DOI
Frohn-Schauf, Claudia Flux-splitting methods and multigrid methods for hyperbolic systems with examples from fluid mechanics. (Flux-Splitting-Methoden und Mehrgitterverfahren für hyperbolische Systeme mit Beispielen aus der Strömungsmechanik.) (German) Zbl 0833.76055 Berichte der Gesellschaft für Mathematik und Datenverarbeitung (GMD- Berichte). Nr. 211. München: R. Oldenbourg Verlag. iv, 186 S. (1993). MSC: 76M25 65N55 35L65 76-02 × Cite Format Result Cite Review PDF
Chernetskij, V. A. Flows in multiconnected domains. (English. Russian original) Zbl 0784.76015 Leningr. Univ. Mech. Bull. 1991, No. 4, 25-27 (1991); translation from Vestn. Leningr. Univ., Ser. I 1991, No. 4, 76-78 (1991). MSC: 76B99 35Q15 45E05 × Cite Format Result Cite Review PDF
Chernetskij, V. A. On flows in multiply connected domains. (Russian. English summary) Zbl 0747.76032 Vestn. Leningr. Univ., Ser. I 1991, No. 4, 76-78 (1991). MSC: 76B99 35Q15 45E05 × Cite Format Result Cite Review PDF
Wegert, Elias; von Wolfersdorf, Lothar Potential flow past a circular cylinder with permeable surface and nonlinear filtration law. (English) Zbl 0735.76069 Z. Anal. Anwend. 9, No. 5, 415-428 (1990). MSC: 76S05 76B99 35Q15 × Cite Format Result Cite Review PDF Full Text: DOI
Lindquist, W. B.; Maesumi, M. The two dimensional interaction of nonlinear hyperbolic waves examples from phase flow in porous media. (English) Zbl 0707.76090 Differential equations and applications, Proc. Int. Conf., Columbus/OH (USA) 1988, Vol. II, 155-163 (1989). MSC: 76S05 65M99 35L65 35L67 35B35 × Cite Format Result Cite Review PDF
Holden, H.; Holden, L. On some recent results for an explicit conservation law of mixed type in one dimension. (English) Zbl 0683.35052 Nonlinear hyperbolic equations - theory, computation methods, and applications, Proc. 2nd Int. Conf., Aachen/FRG 1988, Notes Nummer. Fluid Mech. 24, 238-245 (1989). Reviewer: E.V.Nicolau MSC: 35L65 35J60 65M99 65N99 76B99 × Cite Format Result Cite Review PDF
Babich, S. Yu. Dynamic contact problem for a half-plane with initial stresses. (English. Russian original) Zbl 0648.73048 Sov. Appl. Mech. 23, 347-350 (1987); translation from Prikl. Mekh., Kiev 23, No. 4, 39-43 (1987). MSC: 74A55 74M15 74G70 × Cite Format Result Cite Review PDF Full Text: DOI
Saldanha da Gama, Rogério Martins; Sampaio, Rubens A model for the flow of an incompressible Newtonian fluid through a nonsaturated infinite rigid porous medium. (English) Zbl 0625.76106 Mat. Apl. Comput. 6, 195-205 (1987). MSC: 76S05 76N15 76L05 35L67 35L70 76M99 × Cite Format Result Cite Review PDF
Bell, John B.; Trangenstein, John A.; Shubin, Gregory R. Conservation laws of mixed type describing three-phase flow in porous media. (English) Zbl 0614.76100 SIAM J. Appl. Math. 46, 1000-1017 (1986). MSC: 76T99 76S05 35L80 35M99 × Cite Format Result Cite Review PDF Full Text: DOI
Okamoto, Hisashi Nonstationary free boundary problem for perfect fluid with surface tension. (English) Zbl 0614.76012 J. Math. Soc. Japan 38, 381-401 (1986). Reviewer: Shih Lung Yu MSC: 76B15 35B20 35L15 × Cite Format Result Cite Review PDF Full Text: DOI
Lindquist, W. B. Construction of solutions for two-dimensional Riemann problems. (English) Zbl 0599.35099 Comput. Math. Appl., Part A 12, 615-630 (1986). MSC: 35L60 35G25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Smith, A. C.; Lim, T. H. Symmetric supercritical free surface flow over a polygonal obstacle. (English) Zbl 0587.76020 Int. J. Eng. Sci. 23, 289-306 (1985). MSC: 76B10 76M99 × Cite Format Result Cite Review PDF Full Text: DOI
Kalyakin, L. A. Asymptotic expansion of a solution of a MHD system of two linear equations with a singular perturbation. II: A complete asymptotic expansion. (English) Zbl 0555.76089 Differ. Equations 19, 461-475 (1983). MSC: 76W05 76D99 35A05 35J55 × Cite Format Result Cite Review PDF
Kalyakin, L. A. Asymptotic expansion of a solution of a system of two linear MHD equations with a singular perturbation. I. A standard problem in an elliptic layer. (English) Zbl 0555.76088 Differ. Equations 18, 1238-1249 (1983). MSC: 76W05 76D99 35A05 35J55 × Cite Format Result Cite Review PDF
Kalyakin, L. A. Asymptotics of the solution of a system of two linear equations of magnetohydrodynamics with singular perturbation. II. Complete asymptotic expansion. (Russian) Zbl 0538.76119 Differ. Uravn. 19, No. 4, 628-644 (1983). Reviewer: I.Pop (Cluj-Napoca) MSC: 76W05 76D99 35J55 35A05 × Cite Format Result Cite Review PDF
Meister, Erhard Randwertaufgaben der Funktionentheorie. Mit Anwendungen auf singuläre Integralgleichungen und Schwingungsprobleme der mathematischen Physik. (German) Zbl 0515.30032 Leitfäden der Angewandten Mathematik und Mechanik. 59. Stuttgart: B. G. Teubner. 320 S., 67 Fig. DM 44.00 (1983). MSC: 30E25 30-02 45E05 45E10 76B15 70C20 × Cite Format Result Cite Review PDF
Gogonea, Sorin Sur un problème de type mixte pour le plan muni de coupures rectilignes alignees. (French) Zbl 0517.30035 Math., Rev. Anal. Numér. Théor. Approximation, Math. 24(47), 43-48 (1982). MSC: 30E25 74B99 76B99 × Cite Format Result Cite Review PDF
Kalyakin, L. A. Asymptotics of the solution of a system of two linear equations of magnetohydrodynamics with singular perturbation. I. Standard problem in an elliptic layer. (Russian) Zbl 0516.76029 Differ. Uravn. 18, No. 10, 1724-1738 (1982). MSC: 76D99 35J55 35A05 76W05 × Cite Format Result Cite Review PDF
Hoff, David A constructive theory for shock-free, isentropic flow. (English) Zbl 0416.76015 J. Differ. Equations 38, 1-31 (1980). MSC: 76B99 35L05 35L70 35L65 35A05 35L67 65Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Chorin, A. J.; Marsden, J. E. A mathematical introduction to fluid mechanics. (English) Zbl 0417.76002 Universitext. New York, Heidelberg, Berlin: Springer-Verlag. viii, 205 p. DM 29.00; $ 16.00 (1979). Reviewer: D. Krausser (Berlin) MSC: 76-01 76Bxx 76Dxx 35Q30 35Q31 76L05 35L65 × Cite Format Result Cite Review PDF Full Text: DOI
Belinsky, V.; Zakharov, V. The integration of Einstein’s equations, by the method of inverse scattering, and exact soliton solutions. (English) Zbl 0414.76098 Sources of gravitational radiation, Proc. Battelle Seattle Workshop 1978, 161-172 (1979). MSC: 76Y05 76B25 83C35 × Cite Format Result Cite Review PDF