Bipolar Isothermal Non-Newtonian Compressible Fluids
Bipolar Isothermal Non-Newtonian Compressible Fluids
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DOI：
10.1006/jmaa.1998.6014
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发表时间：
1998-09
影响因子：
1.3
通讯作者：
S. s̆c̆
中科院分区：
文献类型：
--
作者：
S. s̆c̆
证明了等温非牛顿双极流体解的存在唯一性。我们考虑一种特殊的情况下，应力张量的形式表示的潜力依赖于eijand（eij/xk）。第二部分讨论了静止状态的稳定性问题。证明了速度和密度的扰动在适当的范数下沿沿着一个选定的时间序列趋于零。此外，我们还在势力正则性的假设下得到了静止态的渐近稳定性。
The existence and uniqueness of a solution to isothermal non-Newtonian bipolar fluid is proved. We consider a special case, where the stress tensor is expressed in the form of potentials depending oneijand (∂eij/∂xk). The second part is devoted to the problem of the stability of the rest state. It is proved that the perturbations of velocity and density tend to zero in appropriate norms along a chosen time sequence. Moreover, we obtain the asymptotic stability of the rest state under the assumption of the regularity of the potential forces.