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| The Incompressible Limits of Compressible Navier-Stokes Equations in the Whole Space with General Initial Data |
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Citation： |
Ling HSIAO,Qiangchang JU,Fucai LI.The Incompressible Limits of Compressible Navier-Stokes Equations in the Whole Space with General Initial Data[J].Chinese Annals of Mathematics B,2009,(1):17~26 |
| Page view： 3212
Net amount： 2656 |
Authors： |
Ling HSIAO; Qiangchang JU; Fucai LI; |
Foundation： |
the National Natural Science Foundation of China (Nos. 10431060, 10701011,
10501047) and the Nanjing University Talent Development Foundation. |
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| Abstract： |
It is showed that, as the Mach number goes to zero, the weak solution of the
compressible Navier-Stokes equations in the whole space with general initial data converges
to the strong solution of the incompressible Navier-Stokes equations as long as the later
exists. The proof of the result relies on the new modulated energy functional and the
Strichartz’s estimate of linear wave equation. |
Keywords： |
Compressible Navier-Stokes equations, Incompressible Navier-Stokes
equations, Low Mach number limit, Modulated energy functional,
Strichartz’s estimate
2000 MR Subject Classificati |
Classification： |
35Q30, 35B40 |
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