Low Mach number limit of inviscid Hookean elastodynamics |
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| Institution: | 1. School of Mathematical Sciences, LSC-MOE and Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai, China;2. Department of Mathematics, City University of Hong Kong, Hong Kong, China;1. School of Mathematical Sciences and Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai 200240, PR China;2. School of Mathematical Sciences, Ocean University of China, Qingdao 266041, PR China;1. Laboratory of Mathematics and Complex Systems (Ministry of Education), School of Mathematical Sciences, Beijing Normal University, Beijing 100875, People''s Republic of China;2. Beijing Computational Science Research Center, Beijing 100193, People''s Republic of China |
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| Abstract: | The low Mach number limit of inviscid Hookean elastodynamic equations is rigorously proved in bounded domain, whole space and periodic domain, respectively. The uniform existence of smooth solutions and convergence results as the Mach number tends to zero are obtained in three different domains. |
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| Keywords: | Low Mach number limit General initial data Elastodynamics |
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