Large-time asymptotic stability of Riemann shocks of scalar balance laws
Authors
Vincent Duchêne, Luis Miguel Rodrigues
Categories
Abstract
We prove the large-time asymptotic orbital stability of strictly entropic Riemann shock solutions of first order scalar hyperbolic balance laws, under piecewise regular perturbations provided that the source term is dissipative about endstates of the shock. Moreover the convergence towards a shifted reference state is exponential with a rate predicted by the linearized equations about constant endstates.
Large-time asymptotic stability of Riemann shocks of scalar balance laws
Categories
Abstract
We prove the large-time asymptotic orbital stability of strictly entropic Riemann shock solutions of first order scalar hyperbolic balance laws, under piecewise regular perturbations provided that the source term is dissipative about endstates of the shock. Moreover the convergence towards a shifted reference state is exponential with a rate predicted by the linearized equations about constant endstates.
Authors
Vincent Duchêne, Luis Miguel Rodrigues
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