Persistence of generalized roll-waves under viscous perturbation
Abstract
The purpose of this article is to study the persistence of solution of a hyperbolic system under small viscous perturbation. Here, the solution of the hyperbolic system is supposed to be periodic: it is a periodic perturbation of a roll-wave. So, it has an infinity of shocks. The proof of the persistence is based on an expansion of the viscous solution and estimates on Green's functions.
Domains
Analysis of PDEs [math.AP]Origin | Files produced by the author(s) |
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