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Global classical solution to the three-dimensional isentropic compressible Navier-Stokes equations with general initial data |
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| Authors: | XueMei Deng PeiXin Zhang JunNing Zhao |
| Affiliation: | 1. School of Mathematical Sciences, Xiamen University, Xiamen, 361005, China 2. College of Science, China Three Gorges University, Yichang, 443002, China 3. School of Mathematical Sciences, Huaqiao University, Quanzhou, 362021, China |
| Abstract: | 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 ?? is large enough. |
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