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Preprint 2007-019

On the Convergence of Viscous Approximations After Shock Interactions

Alberto Bressan and Carlotta Donadello

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.

Paper:
Available as PDF (267 Kbytes).
Author(s):
Alberto Bressan,
Carlotta Donadello,
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Submitted by:
; 2007-07-24.