ON EXISTENCE AND UNIQUENESS OF ENTROPY SOLUTIONS TO THE CAUCHY PROBLEM FOR A CONSERVATION LAW WITH DISCONTINUOUS FLUX
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Publication:3647641
DOI10.1142/S0219891609001915zbMath1181.35145MaRDI QIDQ3647641
Publication date: 23 November 2009
Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)
measure-valued solutionsAudusse-Perthame adapted entropiesdoubling variableKruzhkov's generalized entropy solutionsprocess entropy solutions
Hyperbolic conservation laws (35L65) PDEs with low regular coefficients and/or low regular data (35R05) Initial value problems for first-order hyperbolic systems (35L45)
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Cites Work
- Unnamed Item
- On the well-posedness of entropy solutions to conservation laws with a zero-flux boundary condition
- Hyperbolic conservation laws with discontinuous fluxes and hydrodynamic limit for particle systems
- Convergence of the Lax-Friedrichs scheme and stability for conservation laws with a discontinuous space-time dependent flux
- Measure-valued solutions to conservation laws
- ANALYSIS AND APPROXIMATION OF A SCALAR CONSERVATION LAW WITH A FLUX FUNCTION WITH DISCONTINUOUS COEFFICIENTS
- An Engquist–Osher-Type Scheme for Conservation Laws with Discontinuous Flux Adapted to Flux Connections
- A UNIQUENESS CONDITION FOR NONLINEAR CONVECTION-DIFFUSION EQUATIONS WITH DISCONTINUOUS COEFFICIENTS
- Convergence of a Difference Scheme for Conservation Laws with a Discontinuous Flux
- Convex conservation laws with discontinuous coefficients. existence, uniqueness and asymptotic behavior
- Existence and Uniqueness of Entropy Solution of Scalar Conservation Laws with a Flux Function Involving Discontinuous Coefficients
- EXISTENCE OF STRONG TRACES FOR QUASI-SOLUTIONS OF MULTIDIMENSIONAL CONSERVATION LAWS
