Incompressible limit of the nonisentropic Euler equations with the solid wall boundary conditions
Incompressible limit of the nonisentropic Euler equations with the solid wall boundary conditions
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DOI：
10.57262/ade/1355867894
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发表时间：
2005-01
影响因子：
1.4
通讯作者：
T. Alazard
中科院分区：
文献类型：
--
作者：
T. Alazard
研究了非等熵流体的可压缩欧拉方程在$\Omega \子集\mathbb R^d$ （$d=2$或$3$）域中经典解的零马赫数极限。我们考虑一般初始数据的情况。对于有界或无界定义域$\Omega$，我们首先证明了与时间无关的小参数经典解的存在性。然后，在外部情况下，我们证明了其解收敛于不可压缩欧拉方程的解。
We study the zero Mach number limit of classical solutions to the compressible Euler equations for nonisentropic fluids in a domain $\Omega \subset \mathbb R^d$ ($d=2$ or $3$). We consider the case of general initial data. For a domain $\Omega$, bounded or unbounded, we first prove the existence of classical solutions for a time independent of the small parameter. Then, in the exterior case, we prove that the solutions converge to the solution of the incompressible Euler equations.