Global Existence of Solutions of the Compressible Viscoelastic Fluid Around a Parallel Flow
Global Existence of Solutions of the Compressible Viscoelastic Fluid Around a Parallel Flow
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DOI：
10.1007/s00021-018-0401-6
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发表时间：
2018-09
影响因子：
1.3
通讯作者：
Y. Ishigaki
中科院分区：
文献类型：
--
作者：
Y. Ishigaki
我们考虑无限层中可压缩粘弹性流体运动的方程组。当外力具有适当的形式时，系统存在平行流型解。结果表明，只要雷诺数和马赫数足够小，剪切波的传播速度足够大，且初始数据与平行流的初始数据足够接近，系统的解在时间上全局存在。
We consider a system of equations for a motion of a compressible viscoelastic fluid in an infinite layer. When the external force has a suitable form, the system has a solution of parallel flow type. It is shown that the solution of the system exists globally in time if the initial data is sufficiently close to the one of the parallel flow, provided that the Reynolds number and the Mach number are sufficiently small, and that the speed of the propagation of shear wave is sufficiently large.