Approximate solutions to conservation laws via convective parabolic equations
From MaRDI portal
Publication:3799043
DOI10.1080/03605308808820544zbMath0653.35057OpenAlexW2033350183WikidataQ58619810 ScholiaQ58619810MaRDI QIDQ3799043
Publication date: 1988
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605308808820544
convergenceweak solutionentropy inequalityapproximate solutionsconservation lawcompensated compactnessLax-Friedrichs difference schemeconvective parabolic equation
Nonlinear parabolic equations (35K55) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Theoretical approximation in context of PDEs (35A35)
Related Items
Convergence of the pseudo-viscosity approximation for conservation laws ⋮ Porous media flow as the limit of a nonstrictly hyperbolic system of conservation laws ⋮ Convergence of approximate solutions to scalar conservation laws by degenerate diffusion ⋮ Late-time/stiff-relaxation asymptotic-preserving approximations of hyperbolic equations ⋮ Approximate Solutions to First and Second Order Quasilinear Evolution Equations via Nonlinear Viscosity ⋮ Smoothing effect of degenerate diffusion ⋮ Weak solutions to a hydrodynamic model for semiconductors: the Cauchy problem ⋮ The one-dimensional Darcy's law as the limit of a compressible Euler flow ⋮ Asymptotic preserving HLL schemes ⋮ Singular convergence of weak solutions for a quasilinear nonhomogeneous hyperbolic system
Cites Work
- Convergence of approximate solutions to scalar conservation laws by degenerate diffusion
- Convergence of approximate solutions to conservation laws
- On a nonlinear degenerate parabolic equation in infiltration or evaporation through a porous medium
- Measure-valued solutions to conservation laws
- L1 stability of travelling waves with applications to convective porous media flow
- Solutions in the large for nonlinear hyperbolic systems of equations
- CAUCHY'S PROBLEM FOR DEGENERATE SECOND ORDER QUASILINEAR PARABOLIC EQUATIONS
