Viscous Shock Wave Tracing, Local Conservation Laws, and Pointwise Estimates by Tai-ping Liu and Shih-hsien Yu

Abstract

We introduce a new approach to decompose a system of viscous conservation laws with respect to each characteristic wave structures. Under this new decomposition, the global wave interactions of the system are reduced to coupling of nonlinear waves around constant states outside shock region and a scalar conservation law in the shock region to determine the… (More)

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