On the convergence of viscous approximations after shock interactions
Alberto Bressan - Penn State University Mathematics Dept., University Park, State College, PA 16802, United States (email)
Abstract: We consider a piecewise smooth solution to a scalar conservation law, with possibly interacting shocks. We show that, after the interactions have taken place, vanishing viscosity approximations can still be represented by a regular expansion on smooth regions and by a singular perturbation expansion near the shocks, in terms of powers of the viscosity coefficient.
Keywords: scalar conservation laws with viscosity, viscous shock profiles, singular perturbation expansion
Received: July 2007; Revised: December 2007; Published: September 2008.
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