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.