Weak solutions for equations defined by accretive operators. II: Relaxation limits.

DOI10.1016/S0022-0396(03)00213-4zbMath1036.35132MaRDI QIDQ1416455

Manuel Portilheiro

Publication date: 14 December 2003

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

zbMATH Keywords

Hamilton-Jacobi equationsViscosityContractive equationsDissipative solutionsEntropy solutionssemilinear transport equation

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Hyperbolic conservation laws (35L65)

Related Items (4)

Existence and Uniqueness of Entropy Solution of Scalar Conservation Laws with a Flux Function Involving Discontinuous Coefficients ⋮ A Fourier Transform Method for Relaxation of Kinetic Equations ⋮ On renormalized dissipative solutions for conservation laws ⋮ Hydrodynamic limits for kinetic equations and the diffusive approximation of radiative transport for acoustic waves

Cites Work

• Unnamed Item
• Multiscale analysis for interacting particles: relaxation systems and scalar conservation laws.
• Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
• Viscosity Solutions of Hamilton-Jacobi Equations
• Periodic homogenisation of certain fully nonlinear partial differential equations
• Contractive relaxation systems and the scalar multidimensional conservation law
• Weak solutions for equations defined by accretive operators. I
• The perturbed test function method for viscosity solutions of nonlinear PDE
• Convergence of Sequences of Semigroups of Nonlinear Operators with an Application to Gas Kinetics
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES

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