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Double shocks for a hydrodynamic model of semiconductors
Authors:Shu-Yi Zhang  Ya-Guang Wang
Institution:(1) Department of Mathematics and Physics, Shanghai Institute of Technology, 120 Caobao Rd., 200235 Shanghai, P.R. China;(2) Present address: Department of Mathematics, Shanghai Jiao Tong University, 200240 Shanghai, P.R.China;(3) Department of Mathematics, Shanghai Jiao Tong University, 200240 Shanghai, P.R. China
Abstract:This paper is devoted to the study of a hydrodynamic model of drift diffusion equations. We establish the existence of a kind of discontinuous solution which consists of two multidimensional shocks. Since the system is a hyperbolic elliptic coupled one, the proof is different from that of double shocks from conservation laws in 11].
Keywords:35M10  35L67
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