COMPENSATED COMPACTNESS FOR 2D CONSERVATION LAWS

DOI10.1142/S0219891605000592zbMath1084.35045OpenAlexW2157558207MaRDI QIDQ5703297

Michel Rascle, Eitan Tadmor, Patrizia Bagnerini

Publication date: 8 November 2005

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

Full work available at URL: https://doi.org/10.1142/s0219891605000592

zbMATH Keywords

vanishing viscosityentropy boundskinetic formulationfinite volume approximations

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items

Multidimensional Conservation Laws: Overview, Problems, and Perspective, Hyperbolic Conservation Laws on Spacetimes, ON A DISPERSIVE MODEL FOR THE UNZIPPING OF DOUBLE-STRANDED DNA MOLECULES, Adjoint and compensated compactness methods for Hamilton-Jacobi PDE, Weak continuity and compactness for nonlinear partial differential equations

Cites Work

• Unnamed Item
• A kinetic equation with kinetic entropy functions for scalar conservation laws
• Burgers' equation with vanishing hyper-viscosity
• High resolution schemes for hyperbolic conservation laws
• Initial layers and uniqueness of weak entropy solutions to hyperbolic conservation laws
• Measure-valued solutions to conservation laws
• Convergence of higer order finite volume schemes on irregular grids
• Vanishing viscosity solutions of nonlinear hyperbolic systems
• Convergence of Spectral Methods for Nonlinear Conservation Laws
• Error estimates for the approximate solutions of a nonlinear hyperbolic equation given by finite volume schemes
• Finite volume schemes for a nonlinear hyperbolic equation. Convergence towards the entropy solution and error estimate
• Large time behavior and homogenization of solutions of two‐dimensional conservation laws
• Convergence of the Finite Volume Method for Multidimensional Conservation Laws
• A note on entropy inequalities and error estimates for higher-order accurate finite volume schemes on irregular families of grids
• A New Convergence Proof for Finite Volume Schemes Using the Kinetic Formulation of Conservation Laws
• Solutions in the large for nonlinear hyperbolic systems of equations
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• Pointwise blow-up of sequences bounded in \(L^1\)