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The Existence of Multi-Dimensional Shock Fronts
Andrew Majda
出版American Mathematical Soc., 1983
主題Science / Waves & Wave Mechanics
ISBN08218228109780821822814
URLhttp://books.google.com.hk/books?id=RC_UCQAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋The short-time existence of discontinuous shock front solutions of a system of conservation laws in several space variables is proved below under suitable hypotheses. These shock front solutions are nonlinear progressing wave solutions associated with the nonlinear wave fields. The results developed here apply to the equations of compressible fluid flow in two or three space variables with standard equations of state where the initial data can have shock discontinuities of arbitrary strength which lie on a given smooth initial surface with arbitrary geometry.