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On the convergence of viscous approximations after shock interactions

TitleOn the convergence of viscous approximations after shock interactions
Publication TypeJournal Article
Year of Publication2009
AuthorsBressan, A, Donadello, C
JournalDiscrete Contin. Dyn. Syst. 23 (2009) 29-48
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.

URLhttp://hdl.handle.net/1963/3412
DOI10.3934/dcds.2009.23.29

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