Weak perturbations of shock waves

Details Weak perturbations of shock waves Weak perturbations of shock waves

2001-03-11

arxiv.org/abs/math/0103069v1

Mathematics

Analysis of PDEs

LaTeX v1.2, 3 pages

Scientific paper

The Cauchy problem is considered for the perturbed strictly hyperbolic 2x2
system of quasilinear equations. The unperturbed problem has a persistent
solution with two discontinuity lines (shock waves). Both an asymptotics of
shock waves position in the plane (x,t) and an asymptotics of the perturbed
problem solution are discussed.

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