Double shocks for a hydrodynamic model of semiconductors |
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Authors: | Shu-Yi Zhang Ya-Guang Wang |
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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 |
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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].
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Keywords: | 35M10 35L67 |
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