Title | On the convergence of viscous approximations after shock interactions |
Publication Type | Journal Article |
Year of Publication | 2009 |
Authors | Bressan, A, Donadello, C |
Journal | Discrete 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. |
URL | http://hdl.handle.net/1963/3412 |
DOI | 10.3934/dcds.2009.23.29 |
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