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Global existence and optimal decay rate for the strong solutions in to the compressible Navier–Stokes equations

✍ Scribed by Yanjin Wang; Zhong Tan

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
230 KB
Volume
24
Category
Article
ISSN
0893-9659

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✦ Synopsis

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 derivatives.

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