Examples of measure-valued solutions

DOI10.1080/03605308908820620zbMath0682.35068OpenAlexW2080132243MaRDI QIDQ4731570

Steven Schochet

Publication date: 1989

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308908820620

zbMATH Keywords

Young measuresentropy conditionsmeasure valued solutionsDirac distributions

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Hyperbolic conservation laws (35L65) Classical and relativistic thermodynamics (80A10)

Related Items

Construction of approximate entropy measure-valued solutions for hyperbolic systems of conservation laws ⋮ Uniqueness of the solution of the Cauchy problem for a first order quasilinear equation with one admissible strictly convex entropy ⋮ Statistical solutions of hyperbolic conservation laws: foundations ⋮ Convergence of finite volume schemes for the Euler equations via dissipative measure-valued solutions ⋮ $$\mathscr {K}$$-Convergence of Finite Volume Solutions of the Euler Equations ⋮ Nonlinear oscillations of hyperbolic systems: Methods and qualitative results ⋮ On the computation of measure-valued solutions ⋮ Statistical solutions of hyperbolic systems of conservation laws: Numerical approximation

Cites Work

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• Equivalence of the Euler and Lagrangian equations of gas dynamics for weak solutions
• On the symmetric form of systems of conservation laws with entropy
• Measure-valued solutions to conservation laws
• The entropy rate admissibility criterion for solutions of hyperbolic conservation laws