DISCRETE DUALITY FINITE VOLUME SCHEMES FOR DOUBLY NONLINEAR DEGENERATE HYPERBOLIC-PARABOLIC EQUATIONS

DOI10.1142/S0219891610002062zbMath1207.35020arXiv0901.0816OpenAlexW2077322283MaRDI QIDQ3560069

Mostafa Bendahmane, Boris P. Andreianov, Kenneth Hvistendahl Karlsen

Publication date: 19 May 2010

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.0816

zbMATH Keywords

entropy solutionshomogeneous Dirichlet boundary conditionsnon-Lipschitz fluxnonlinear convectiontwo and three space dimensionsdoubly nonlinear diffusiondiscrete duality formulas

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) 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) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Finite volume methods applied to problems in solid mechanics (74S10) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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