Low Mach number limit of viscous compressible flows in the whole space
Low Mach number limit of viscous compressible flows in the whole space
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DOI：
10.1098/rspa.1999.0403
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发表时间：
1999-06
期刊：
影响因子：
--
通讯作者：
B. Desjardins;E. Grenier
中科院分区：
文献类型：
--
作者：
B. Desjardins;E. Grenier
研究等熵流体可压缩Navier-Stokes方程在全空间Rd （d = 2或3）中弱解的低马赫数极限。p.l. Lions和N. Masmoudi研究了这个问题。本文提出了一种基于非粘情况下线性波动方程的Strichartz估计的方法，改进了收敛性结果，简化了证明过程。证明了速度场是强紧的，并收敛于不可压缩Navier-Stokes方程的全局弱解。
This paper is devoted to the low Mach number limit of weak solutions to the compressible Navier–Stokes equations for isentropic fluids in the whole space Rd (d = 2 or 3). This problem was investigated by P. L. Lions and N. Masmoudi. We present here a different approach based upon Strichartz's estimates for the linear wave equation in the inviscid case, which improves the convergence result and simplifies the proof. We prove that the velocity field is strongly compact and converges to a global weak solution of the incompressible Navier–Stokes equations.