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Global classical solution to the three-dimensional isentropic compressible Navier-Stokes equations with general initial data

Global classical solution to the three-dimensional isentropic compressible Navier-Stokes equations with general initial data

作     者:DENG XueMei ZHANG PeiXin ZHAO JunNing 

作者机构:School of Mathematical Sciences Xiamen University Xiamen 361005 China College of Science China Three Gorges University Yichang 443002 China School of Mathematical Sciences Huaqiao University Quanzhou 362021 China 

出 版 物:《Science China Mathematics》 (中国科学:数学(英文版))

年 卷 期:2012年第55卷第12期

页      面:2457-2468页

核心收录:

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基  金:supported by National Natural Science Foundation of China (Grant No.11001090) the Fundamental Research Funds for the Central Universities (Grant No. 11QZR16) 

主  题:compressible Navier-Stokes equations large viscosity coefficient global classical solutions 

摘      要:We establish the global existence and uniqueness of classical solutions to the Cauchy problem for the isentropic compressible Navier-Stokes equations in the three space dimensions with general initial data which could be either vacuum or non-vacuum under the assumption that the viscosity coefficient μ is large enough.

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