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STABLE VISCOSITY MATRICES FOR SYSTEMS OF CONSERVATION LAWS

Andrew MajdaRobert L. Pego

出版	MATHEMATICS RESEARCH CENTER, University of WISCONSIN, 1983
URL	http://books.google.com.hk/books?id=CE4WOAAACAAJ&hl=&source=gbs_api

註釋

Many equations of mathematical physics take the form of nonlinear hyperbolic systems of conservation laws. With small dissipative effects neglected, typically smooth solutions must develop discontinuities (shocks in finite time. Reincorporating dissipation helps select those discontinuities which are physically meaningful. For this purpose, many different sorts of dissipation will do; in particular, the physical viscosity is typically degenerate and not covenient. In this paper the authors provide a thorough understanding of what sorts of second order viscosity terms smooth the physical discontinuities. A natural class of admissible viscosity terms is determined based on a simple linearized stability condition.