Diminishing functionals for nonclassical entropy solutions selected by kinetic relations
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Publication:604621
DOI10.4171/PM/1867zbMath1207.35219arXiv0812.4021OpenAlexW2064872109MaRDI QIDQ604621
Philippe G. LeFloch, Marc Laforest
Publication date: 12 November 2010
Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0812.4021
interaction potentialundercompressive shocksfront-tracking approximationsnon-convex flux functiontotal variation deminishing
Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Weak solutions to PDEs (35D30)
Related Items (2)
The mathematical theory of splitting-merging patterns in phase transition dynamics ⋮ Numerical methods with controlled dissipation for small-scale dependent shocks
Cites Work
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- Propagating phase boundaries: Formulation of the problem and existence via the Glimm method
- Nonclassical shocks and the Cauchy problem for nonconvex conservation laws
- Non-classical shocks and kinetic relations: Scalar conservation laws
- Weak solutions of general systems of hyperbolic conservation laws
- Existence theory for hyperbolic systems of conservation laws with general flux-functions
- Diffusive-dispersive traveling waves and kinetic relations. I: Nonconvex hyperbolic conservation laws
- Existence theory for nonclassical entropy solutions of scalar conservation laws
- Kinetic relations and the propagation of phase boundaries in solids
- Admissibility criteria for propagating phase boundaries in a van der Waals fluid
- Why many theories of shock waves are necessary: Kinetic functions, equivalent equations, and fourth-order models
- Polygonal approximations of solutions of the initial value problem for a conservation law
- Admissible solutions of hyperbolic conservation laws
- Diffusive–dispersive travelling waves and kinetic relations V. Singular diffusion and nonlinear dispersion
- Non-classical Riemann solvers with nucleation
- Solutions in the large for nonlinear hyperbolic systems of equations
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