A class of nonlinear, nonhyperbolic systems of conservation laws with well-posed initial value problems

DOI10.1006/jdeq.2001.4060zbMath1012.35056OpenAlexW2079000478MaRDI QIDQ1614725

Michael Sever

Publication date: 8 September 2002

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

Full work available at URL: https://doi.org/10.1006/jdeq.2001.4060

zbMATH Keywords

one space variableentropy density-flux functions

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Initial value problems for nonlinear first-order PDEs (35F25)

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Cites Work

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• Nonstrictly hyperbolic conservation laws with a parabolic line
• The Riemann problem for a class of hyperbolic conservation laws exhibiting a parabolic degeneracy
• A system of non-strictly hyperbolic conservation laws arising in elasticity theory
• Systems of conservation laws of mixed type
• Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws
• Two-dimensional Riemann problem for a hyperbolic system of nonlinear conservation laws. I: Four-\(J\) cases
• Concentrations in the one-dimensional Vlasov-Poisson equations. I: Temporal development and non-unique weak solutions in the single component case
• Explicit construction of measure solutions of Cauchy problem for transportation equations
• Generalized characteristics and the uniqueness of entropy solutions to zero-pressure gas dynamics.
• Spaces of weighted measures for conservation laws with singular shock solutions
• Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
• Sticky Particles and Scalar Conservation Laws
• Delta-shocks as limits of vanishing viscosity for multidimensional zero-pressure gas dynamics
• Systems of Conservation Equations with a Convex Extension