Nonlinear stability of discrete shocks for systems of conservation laws

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Publication:1314295

DOI10.1007/BF00383220zbMath0807.35087OpenAlexW2043358921MaRDI QIDQ1314295

Jian-Guo Liu, Zhouping Xin

Publication date: 22 February 1994

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00383220



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The $l^1$ global decay to discrete shocks for scalar monotone schemes, Existence and asymptotic stability of relaxation discrete shock profiles, Asymptotic stability of discrete shock waves for the Lax-Friedrichs scheme to hyperbolic systems of conservation laws, Semi-discrete shock profiles for hyperbolic systems of conservation laws, Lifespan of classical discontinuous solutions to general quasilinear hyperbolic systems of conservation laws with small BV initial data: shocks and contact discontinuities, Existence of discrete shock profiles of a class of monotonicity preserving schemes for conservation laws, Existence and uniqueness of traveling waves and error estimates for Godunov schemes of conservation laws, The generalized nonlinear initial-boundary Riemann problem for linearly degenerate quasilinear hyperbolic systems of conservation laws, Asymptotic stability of stationary discrete shocks of Lax-Friedrichs scheme for non-convex conservation laws, Global structure stability of Riemann solutions for linearly degenerate hyperbolic conservation laws under small BV perturbations of the initial data, Nonlinear stability and existence of stationary discrete travelling waves for the relaxing schemes, Lifespan of classical discontinuous solutions to the generalized nonlinear initial-boundary Riemann problem for hyperbolic conservation laws with small BV data: shocks and contact discontinuities, Nonlinear stability of discrete shocks for systems of conservation laws, Global structure stability of Riemann solutions of quasilinear hyperbolic systems of conservation laws: shocks and contact discontinuities



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