Vanishing Viscosity Limit for Riemann Solutions to a Class of Non-Strictly Hyperbolic Systems |
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Authors: | Yanyan Zhang Yu Zhang |
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Affiliation: | 1.College of Mathematics and Statistics,Xinyang Normal University,Xinyang,P.R. China;2.Department of Mathematics,Yunnan Normal University,Kunming,P.R. China |
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Abstract: | By the vanishing viscosity approach, a class of non-strictly hyperbolic systems of conservation laws that contain the equations of geometrical optics as a prototype are studied. The existence, uniqueness and stability of solutions involving delta shock waves and generalized vacuum states are discussed completely. |
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