Dissipative and entropy solutions to non-isotropic degenerate parabolic balance laws

DOI10.1007/s00205-003-0282-5zbMath1059.35044OpenAlexW2001870158WikidataQ60502897 ScholiaQ60502897MaRDI QIDQ1879429

Perthame, Benoît, Panagiotis E. Souganidis

Publication date: 22 September 2004

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-003-0282-5

zbMATH Keywords

weak solutionsparabolic equationsdissipative solutionsrelaxation approximation

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Second-order parabolic equations (35K10) Generalized solutions to partial differential equations (35D99)

Related Items (13)

Pathwise Solutions for Fully Nonlinear First- and Second-Order Partial Differential Equations with Multiplicative Rough Time Dependence ⋮ FINITE DIFFERENCE SCHEMES WITH CROSS DERIVATIVES CORRECTORS FOR MULTIDIMENSIONAL PARABOLIC SYSTEMS ⋮ Existence and Uniqueness of Entropy Solution of Scalar Conservation Laws with a Flux Function Involving Discontinuous Coefficients ⋮ Global classical solutions to the Cauchy problem of conservation laws with degenerate diffusion ⋮ Stochastic non-isotropic degenerate parabolic-hyperbolic equations ⋮ Homogeneous Dirichlet problems for quasilinear anisotropic degenerate parabolic-hyperbolic equations ⋮ Relative entropy for compressible Navier-Stokes equations with density dependent viscosities and various applications ⋮ Scalar conservation laws with rough (stochastic) fluxes ⋮ Applications of the kinetic formulation for scalar conservation laws with a zero-flux type boundary condition ⋮ Addendum to: ``Dissipative and entropy solutions to non-isotropic degenerate parabolic balance laws ⋮ On renormalized dissipative solutions for conservation laws ⋮ A kinetic approach to error estimate for nonautonomous anisotropic degenerate parabolic-hyperbolic equations ⋮ Viscosity solutions of a class of degenerate quasilinear parabolic equations with Dirichlet boundary condition

This page was built for publication: Dissipative and entropy solutions to non-isotropic degenerate parabolic balance laws