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Global existence and optimal decay rate for the strong solutions to the compressible fluid models of Korteweg type

✍ Scribed by Zhong Tan; Huaqiao Wang; Jiankai Xu


Book ID
113721862
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
149 KB
Volume
390
Category
Article
ISSN
0022-247X

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Global existence and optimal decay rate
✍ Yanjin Wang; Zhong Tan πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 230 KB

We prove the global existence of a unique strong solution to the compressible Navier-Stokes equations when the initial perturbation is small in H 2 . If further that the L 1 norm of initial perturbation is finite, we prove the optimal L 2 decay rates for such a solution and its first-order spatial d