Error estimates for scalar conservation laws by a kinetic approach

DOI10.1155/IJMMS/2006/41510zbMath1119.35339OpenAlexW2048619510MaRDI QIDQ885613

Abdennebi Omrane

Publication date: 14 June 2007

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53379

zbMATH Keywords

Kružkov techniqueKuznetsov technique

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

• Résolution d'équations d'évolution quasilinéaires en dimension N d'espace à l'aide d'équations linéaires en dimension \(N+1\)
• A kinetic equation with kinetic entropy functions for scalar conservation laws
• A kinetic construction of global solutions of first order quasilinear equations
• Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations
• Averaged Multivalued Solutions for Scalar Conservation Laws
• Accuracy of some approximate methods for computing the weak solutions of a first-order quasi-linear equation
• Kruzkov’s estimates for scalar conservation laws revisited
• A Kinetic Formulation of Multidimensional Scalar Conservation Laws and Related Equations
• Convergence and error estimates in finite volume schemes for general multidimensional scalar conservation laws. I. Explicite monotone schemes
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• 𝐿¹–framework for continuous dependence and error estimates for quasilinear anisotropic degenerate parabolic equations
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Error estimates for scalar conservation laws by a kinetic approach