We deal with the initial boundary value problem for systems of conservation laws in one space dimension and we focus on the boundary Riemann problem. It is known that, in general, different viscous approximations provide different limits. In this paper, we establish sufficient conditions to conclude that two different approximations lead to the same limit.

A uniqueness criterion for viscous limits of boundary Riemann problems

L V Spinolo
2011

Abstract

We deal with the initial boundary value problem for systems of conservation laws in one space dimension and we focus on the boundary Riemann problem. It is known that, in general, different viscous approximations provide different limits. In this paper, we establish sufficient conditions to conclude that two different approximations lead to the same limit.
2011
Istituto di Matematica Applicata e Tecnologie Informatiche - IMATI -
Hyperbolic conservation laws
boundary Riemann problem
uniqueness
hyperbolic trace
physical viscosity
self-similar viscous limits
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/227105
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