Found 455 Documents (Results 1–100)
Interface layers and coupling conditions on networks for linearized kinetic BGK equation. (English) Zbl 1541.82012
Inverse problem of thermoelectricity for a functionally graded layer. (Russian. English summary) Zbl 07845714
On the global small solution of 2-D Prandtl system with initial data in the optimal Gevrey class. (English) Zbl 1539.35196
Reviewer: Dimitar A. Kolev (Sofia)
An entropy stable discontinuous Galerkin method for the two-layer shallow water equations on curvilinear meshes. (English) Zbl 1533.65191
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
Boundary layer phenomenon in a first-order algebraic-differential equation. (Russian. English summary) Zbl 07864328
Vanishing diffusion limit and boundary layers for a nonlinear hyperbolic system with damping and diffusion. (English) Zbl 1532.35030
Steady compressible Euler equations of concentration layers for hypersonic-limit flows passing three-dimensional bodies and generalized Newton-Busemann pressure law. (English) Zbl 1527.35246
Atmospheric Ekman flows of the northern hemisphere with latitude and height in ellipsoidal coordinates. (English) Zbl 1522.35510
Existence of solutions of a system of two ordinary differential equations with a modular-cubic type nonlinearity. (English. Russian original) Zbl 1527.34099
Theor. Math. Phys. 215, No. 2, 735-750 (2023); translation from Teor. Mat. Fiz. 215, No. 2, 318-335 (2023).
Reviewer: Dilmurat Tursunov (Osh)
Singular perturbations in first-order partial differential equations with matrix differential operators. (English. Russian original) Zbl 1509.35024
J. Math. Sci., New York 268, No. 1, 130-137 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 173, 132-139 (2019).
Remarks on the vanishing viscosity process of state-constraint Hamilton-Jacobi equations. (English) Zbl 1491.35014
Low-frequency resolvent analysis of the laminar oblique shock wave/boundary layer interaction. (English) Zbl 1518.76034
Asymptotics of the solution of bisingularly perturbed first boundary value problem. (English) Zbl 1492.35023
Asymptotics of the solution of the first boundary value problem for a singularly perturbed differential equation in partial derivatives of the second order of parabolic type. (Russian. English summary) Zbl 1490.35027
Explicit solution of atmospheric Ekman flows with some types of eddy viscosity. (English) Zbl 1492.34003
Reviewer: Narahari Parhi (Bhubaneswar)
Boundary conditions for hyperbolic relaxation systems with characteristic boundaries of type II. (English) Zbl 1480.35294
Post-buckling of web-core sandwich plates based on classical continuum mechanics: success and needs for non-classical formulations. (English) Zbl 1525.74071
Nonlinear dynamic analysis of FGM sandwich shallow shells with variable thickness of layers. (English) Zbl 1507.74165
Altenbach, Holm (ed.) et al., Nonlinear mechanics of complex structures. From theory to engineering applications. Cham: Springer. Adv. Struct. Mater. 157, 57-74 (2021).
Laminar flow of a viscous liquid in the entrance region of a circular pipe. (English. Russian original) Zbl 1491.76019
Fluid Dyn. 56, No. 7, 954-966 (2021); translation from Prikl. Mat. Mekh. 85, No. 5, 601-614 (2021).
Double-deck structure in the fluid flow problem over plate with small irregularities of time-dependent shape. (English) Zbl 1492.76042
Study of rigidity of a first-order algebro-differential system with perturbation in the right-hand side. (Russian. English summary) Zbl 1488.34337
Influence of nozzle external geometry on wavepackets in under-expanded supersonic impinging jets. (English) Zbl 1480.76071
Asymptotic solution of the Cauchy problem for a first-order differential equation with a small parameter in a Banach space. (English. Russian original) Zbl 1472.34115
Math. Notes 110, No. 1, 145-151 (2021); translation from Mat. Zametki 110, No. 1, 143-150 (2021).
Boundary conditions for hyperbolic relaxation systems with characteristic boundaries of type I. (English) Zbl 1459.35275
Asymptotic solution of the Cauchy problem for the first-order equation with perturbed Fredholm operator. (Russian. English summary) Zbl 1483.34077
Asymptotic preserving discretization of a Jin-Xin model with implicit equilibrium manifold on a bounded domain. (English) Zbl 1466.65079
Smooth and singular traveling wave solutions for the Serre-Green-Naghdi equations. (English) Zbl 1455.35041
A stable discontinuous Galerkin method for the perfectly matched layer for elastodynamics in first order form. (English) Zbl 1455.65166
Reviewer: Marius Ghergu (Dublin)
Extension of the Günter derivatives to the Lipschitz domains and application to the boundary potentials of elastic waves. (English. Russian original) Zbl 1455.35049
J. Appl. Mech. Tech. Phys. 61, No. 1, 139-156 (2020); translation from Prikl. Mekh. Tekh. Fiz. 61, No. 1, 161-183 (2020).
Construction of boundary conditions for hyperbolic relaxation approximations. I: The linearized Suliciu model. (English) Zbl 1450.35166
Existence and uniqueness and first order approximation of solutions to atmospheric Ekman flows. (English) Zbl 1453.34027
Free vibration of a functionally graded annular sector plate integrated with piezoelectric layers. (English) Zbl 1481.74304
The basal layer of the epidermis: a mathematical model for cell production under a surface density constraint. (English) Zbl 1475.35353
On energy stable discontinuous Galerkin spectral element approximations of the perfectly matched layer for the wave equation. (English) Zbl 1441.65111
Comput. Methods Appl. Mech. Eng. 350, 898-937 (2019); corrigendum ibid. 398, Article ID 115050, 1 p. (2022).
An a posteriori based convergence analysis for a nonlinear singularly perturbed system of delay differential equations on an adaptive mesh. (English) Zbl 1454.65050
Vanishing viscosity limit of 1D quasilinear parabolic equation with multiple boundary layers. (English) Zbl 1404.35018
A Monte Carlo estimation of the mean residence time in cells surrounded by thin layers. (English) Zbl 1484.82080
Entropy-stable space-time DG schemes for non-conservative hyperbolic systems. (English) Zbl 1405.65121
On the numerical solution of the exterior elastodynamic problem by a boundary integral equation method. (English) Zbl 1408.65093
On the analysis of perfectly matched layers for a class of dispersive media and application to negative index metamaterials. (English) Zbl 1404.35427
Reviewer: Jichun Li (Las Vegas)
Numerical and analytical approaches to an advection-diffusion problem at small Reynolds number and large Péclet number. (English) Zbl 1390.76071
MSC:
76D10
76M25
On the conservation laws in the optimal control problem for laminar boundary layer of non-equilibrium dissociating gas. (Russian. English summary) Zbl 1394.35348
On the conservation laws in the optimal control problem for laminar boundary layer of electroconductive gas. (Russian. English summary) Zbl 1394.35347
Difference scheme for an initial-boundary value problem for a singularly perturbed transport equation. (English. Russian original) Zbl 1383.65096
Comput. Math. Math. Phys. 57, No. 11, 1789-1795 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 11, 1824-1830 (2017).
Lions regularization of the telegraph system with nonlinear boundary conditions. (English) Zbl 1377.35192
Some geophysical applications with finite volume solvers of two-layer and two-phase systems. (English) Zbl 1372.86004
Cancès, Clément (ed.) et al., Finite volumes for complex applications VIII – methods and theoretical aspects. FVCA 8, Lille, France, June 12–16, 2017. Cham: Springer (ISBN 978-3-319-57396-0/hbk; 978-3-319-57397-7/ebook; 978-3-319-58818-6/set). Springer Proceedings in Mathematics & Statistics 199, 15-27 (2017).
Large-time behavior of solutions to the inflow problem of full compressible Navier-Stokes equations with large perturbation. (English) Zbl 1377.35023
Reviewer: Gheorghe Moroşanu (Budapest)
Numerical solution of a Cauchy problem for Laplace equation in 3-dimensional domains by integral equations. (English) Zbl 1348.65130
Finite-difference method for the stabilization of the solution of the transport equation for an unstable difference scheme. (English. Russian original) Zbl 1359.65159
Differ. Equ. 52, No. 7, 951-961 (2016); translation from Differ. Uravn. 52, No. 2, 990-1000 (2016).
Reviewer: Snezhana Gocheva-Ilieva (Plovdiv)
Invariant domains and first-order continuous finite element approximation for hyperbolic systems. (English) Zbl 1346.65050
A finite-difference method for a singularly perturbed delay integro-differential equation. (English) Zbl 1346.65076
Analysis of some numerical methods on layer adapted meshes for singularly perturbed quasilinear systems. (English) Zbl 1335.65062
Reviewer: Srinivasan Natesan (Assam)
A solution of two-parameter asymptotic expansions for a two-dimensional unsteady boundary layer. (English) Zbl 1410.35080
High-frequency asymptotics of a solution to a linear system with the Stokes operator in the principal part. (English. Russian original) Zbl 1331.35091
J. Math. Sci., New York 208, No. 2, 151-159 (2015); translation from Probl. Mat. Anal. 80, 3-10 (2015).
Analysis and design of a new dispersion relation preserving alternate direction bidiagonal compact scheme. (English) Zbl 1322.65085
Large asymmetric first-price auctions – a boundary-layer approach. (English) Zbl 1390.91143
MSC:
91B26
Mild solutions to a measure-valued mass evolution problem with flux boundary conditions. (English) Zbl 1315.35057
Solving negative order equations by the multigrid method via variable substitution. (English) Zbl 1307.65172
Reviewer: Constantin Popa (Constanţa)
The software package for the solution of the equations of hyperbolic type. (Russian. English summary) Zbl 1356.65276
Unsteady flows of a class of novel generalizations of the Navier-Stokes fluid. (English) Zbl 1291.76098
Entropy conservative and entropy stable schemes for nonconservative hyperbolic systems. (English) Zbl 1317.65167
Reviewer: Snezhana Gocheva-Ilieva (Plovdiv)
Air entrainment in transient flows in closed water pipes: a two-layer approach. (English) Zbl 1267.76009
On a singularly perturbed initial value problem in the case of a double root of the degenerate equation. (English) Zbl 1268.34104
Reviewer: Robert Vrabel (Trnava)
Initial layers and zero-relaxation limits of multidimensional Euler-Poisson equations. (English) Zbl 1259.35017
A direct integral equation method for a Cauchy problem for the Laplace equation in 3-dimensional semi-infinite domains. (English) Zbl 1357.65238
Continuous dynamical systems. (English) Zbl 1367.37001
Mathematical Methods and Modeling. Glen Carbon, IL: L & H Scientific Publishing; Beijing: Higher Education Press (ISBN 978-1-62155-000-6/hbk; 978-1-62155-001-3/ebook; 978-7-04-034819-4/hbk). x, 290 p. (2012).
Reviewer: Roman Srzednicki (Kraków)
On the numerical solution of parabolic Cauchy problem in a domain with cut. (Ukrainian. English, Russian summaries) Zbl 1296.65123
Transmission boundary problems for Dirac operators on Lipschitz domains and applications to Maxwell’s and Helmholtz’s equations. (English) Zbl 1271.30027
On the asymptotics of the solution to a singularly perturbed system of first-order partial differential equations with small nonlinearity in the critical case. (Russian, English) Zbl 1274.35212
Zh. Vychisl. Mat. Mat. Fiz. 52, No. 7, 1267-1276 (2012); translation in Comput. Math. Math. Phys. 52, No. 7, 1035-1043 (2012).
MSC:
35L04
Simulation of discontinuous solutions in evolutionary equations. New approaches for reducing non-physical oscillations and smoothing in numerical solutions. (English) Zbl 1280.65087
The axial-symmetric tension deformed state of a body stretched by limited displacements defined at infinity. (Ukrainian. English summary) Zbl 1265.74014
MSC:
74B99
On the physical and the self-similar viscous approximation of a boundary Riemann problem. (English) Zbl 1260.35079
The classification of well-posed kinetic boundary layer for hard sphere gas mixtures. (English) Zbl 1276.35060
Stability of boundary layers for the inflow compressible Navier-Stokes equations. (English) Zbl 1259.35021
Reviewer: Il’ya Sh. Mogilevskij (Tver’)
On the numerical solution of a Cauchy problem for the Laplace equation via a direct integral equation approach. (English) Zbl 1243.65114
A method for describing boundary layers. (English. Russian original) Zbl 1272.76088
J. Appl. Mech. Tech. Phys. 52, No. 2, 218-223 (2011); translation from Prikl. Mekh. Tekh. Fiz. 52, No. 2, 73-80 (2011).
MSC:
76D10
Mathematical aspects of a model for granular flow. (English) Zbl 1254.35146
Bressan, Alberto (ed.) et al., Nonlinear conservation laws and applications. Proceedings of the summer program, IMA, Minneapolis, MN, USA, July 13–31, 2009. New York, NY: Springer (ISBN 978-1-4419-9553-7; 978-1-4419-9554-4/ebook). The IMA Volumes in Mathematics and its Applications 153, 169-179 (2011).
The class of solenoidal planar-helical vector fields. (English. Russian original) Zbl 1228.35088
Proc. Steklov Inst. Math. 273, Suppl. 1, 171-187 (2011); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 16, No. 4 (2010).
MSC:
35F05
Large-time behavior of solutions to the inflow problem of full compressible Navier-Stokes equations. (English) Zbl 1241.35022
Reviewer: Ilya A. Chernov (Petrozavodsk)
A novel matrix method for coupled vibration and damping effect analyses of liquid-filled circular cylindrical shells with partially constrained layer damping under harmonic excitation. (English) Zbl 1217.74081
Large-time behaviour of solutions to the outflow problem of full compressible Navier-Stokes equations. (English) Zbl 1223.35074
Reviewer: Ilya A. Chernov (Petrozavodsk)
The capriciousness of numerical methods for singular perturbations. (English) Zbl 1233.65054
Reviewer: I. N. Katz (St. Louis)
Perturbation analysis of unsteady magnetohydrodynamic convective heat and mass transfer in a boundary layer slip flow past a vertical permeable plate with thermal radiation and chemical reaction. (English) Zbl 1222.76114
Stationary waves to viscous heat-conductive gases in half-space: existence, stability and convergence rate. (English) Zbl 1213.35104
Reviewer: Ilya A. Chernov (Petrozavodsk)
A boundary layer problem for an asymptotic preserving scheme in the quasi-neutral limit for the Euler–Poisson system. (English) Zbl 1213.35040
Reviewer: Titus Petrila (Cluj-Napoca)
Three-layer finite-difference method for linear partial differential-algebraic systems. (English. Russian original) Zbl 1208.65128
Differ. Equ. 46, No. 4, 586-597 (2010); translation from Differ. Uravn. 46, No. 4, 583-594 (2010).
Reviewer: Marius Ghergu (Dublin)
Application of Sumudu transform to Newtonian fluid problems. (English) Zbl 1425.76193
MSC:
76M25
A first-order system approach for diffusion equation. II: Unification of advection and diffusion. (English) Zbl 1192.65116
A coupled system of singularly perturbed parabolic reaction-diffusion equations. (English) Zbl 1188.65118
Reviewer: Gisbert Stoyan (Budapest)
Large time asymptotics for solutions of nonlinear partial differential equations. (English) Zbl 1243.35002
Springer Monographs in Mathematics. Berlin: Springer (ISBN 978-0-387-87808-9/hbk; 978-1-4614-2490-1/pbk; 978-0-387-87809-6/ebook). viii, 235 p. (2010).
Reviewer: Andrey E. Shishkov (Donetsk)
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