Semi-discrete shock profiles for hyperbolic systems of conservation laws

DOI10.1016/S0167-2789(97)00225-XzbMath0934.65098MaRDI QIDQ1963435

Sylvie Benzoni-Gavage

Publication date: 1 February 2000

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

finite difference methodshock wavesheteroclinic orbitssystems of conservation lawsretarded functional differential equationsHale center manifold

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

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Center manifold theory for functional differential equations of mixed type, Steady discrete shocks of high-order RBC schemes, Steady discrete shocks of 5th and 7th-order RBC schemes and shock profiles of their equivalent differential equations, An investigation of the internal structure of shock profiles for shock capturing schemes, A Comparison of Analytical Solutions of a High-Order RBC Scheme and Its Equivalent Differential Equation for a Steady Shock Problem, DISCRETE COMPRESSIVE SOLUTIONS OF SCALAR CONSERVATION LAWS, Modulated wave trains in lattice differential systems, Traveling waves in lattice dynamical systems

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