Large-time structure of solutions of scalar conservation laws without convexity in the presence of a linear source field

DOI10.1016/0022-0396(92)90026-JzbMath0757.35014MaRDI QIDQ1198962

Athanasios N. Lyberopoulos

Publication date: 16 January 1993

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

zbMATH Keywords

generalized characteristicsCauchy dataadmissible weak solutionsFillipov's theory of differential inclusionsleft-contact discontinuitiesnonlinear system of functional and delay-differential equations

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Initial value problems for nonlinear first-order PDEs (35F25)

Related Items

Large time behaviour of solutions of balance laws with periodic initial data, N-WAVES IN HYPERBOLIC BALANCE LAWS, A Poincaré–Bendixson theorem for scalar balance laws, Periodic solutions to \(p\)-system constructed through Glimm scheme, Initial boundary value problem for 1D scalar balance laws with strictly convex flux, Convex conservation laws with discontinuous coefficients. existence, uniqueness and asymptotic behavior, Large-time behavior for conservation laws with source in a bounded domain, Global structure of admissible solutions of multi-dimensional non-homogeneous scalar conservation law with Riemann-type data, Attractors in Inhomogeneous Conservation Laws and Parabolic Regularizations, Large-Time Asymptotic Stability of Riemann Shocks of Scalar Balance Laws, Lax-Oleĭnik explicit formula and structure theory for balance laws, Continuity in finite time of entropy solutions for nonconvex conservation laws with reaction term, Stability and instability in scalar balance laws: fronts and periodic waves, Large-time behavior in inhomogeneous conservation laws

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