Weak perturbations of shock waves
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.
math.AP↗