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The Cauchy problem for nonhomogeneous Navier-Stokes equations inLq([0,T);Lp)

✍ Scribed by Miao Changxing; Gu Yonggeng


Book ID
110652608
Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
1999
Tongue
English
Weight
414 KB
Volume
15
Category
Article
ISSN
0168-9673

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The Cauchy problem for the compressible
✍ Piotr BogusΕ‚aw Mucha πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 160 KB

The global in time existence of regular solutions to the compressible Navier-Stokes equations in the whole space is obtained. The solutions are close to nontrivial equilibrium solutions. Moreover, the result is sharp in the Lp-framework, the velocity of the uid belongs to W 2; 1 r and the initial de