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Existence and uniqueness of global classical solutions to 3D isentropic compressible Navier-Stokes equations with general initial data

Existence and uniqueness of global classical solutions to 3D isentropic compressible Navier-Stokes equations with general initial data
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摘要 In this paper we study the global existence and uniqueness of classical solutions to the Cauchy problem for 3D isentropic compressible Navier-Stokes equations with general initial data which could contain vacuum.We give the relation between the viscosity coefficients and the initial energy,which implies that the Cauchy problem under consideration has a global classical solution. In this paper we study the global existence and uniqueness of classical solutions to the Cauchy problem for 3D isentropic compressible Navier-Stokes equations with general initial data which could contain vacuum.We give the relation between the viscosity coefficients and the initial energy,which implies that the Cauchy problem under consideration has a global classical solution.
出处 《Science China Mathematics》 SCIE 2014年第7期1463-1478,共16页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China (Grant Nos.11001090 and 10971171) the Fundamental Research Funds for the Central Universities (Grant No.11QZR16)
关键词 可压缩NAVIER-STOKES方程 整体经典解 等熵 3D Cauchy问题 初始能量 古典解 系数和 compressible Navier-Stokes equations general initial data global classical solutions
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