3-D flow of a compressible viscous micropolar fluid with spherical symmetry: Regularity of the solution
3-D flow of a compressible viscous micropolar fluid with spherical symmetry: Regularity of the solution
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DOI：
10.1016/j.jmaa.2016.01.071
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发表时间：
2016-06
影响因子：
1.3
通讯作者：
Ivan Dražić;Loredana Simcic;N. Mujakovic
中科院分区：
文献类型：
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作者：
Ivan Dražić;Loredana Simcic;N. Mujakovic
本文考虑了一种可压缩粘性导热微极流体的非定常三维流动，这种流体在热力学意义上是完美的和多向的。流体域是r3的一个子集，以两个同心球体为界，呈现固体隔热壁。在拉格朗日描述中建立了相应的数学模型。我们假设初始数据是球对称函数，并且初始密度和温度严格为正。该问题在时间上具有唯一的球对称广义解。这里我们引入Hölder连续初始函数，并证明对于任意T> 0，状态函数也是Hölder连续的。
In this paper we consider the nonstationary 3-D flow of a compressible viscous and heat-conducting micropolar fluid, that is in the thermodynamical sense perfect and polytropic. The fluid domain is a subset of R 3 bounded with two concentric spheres that present the solid thermoinsulated walls. The corresponding mathematical model is set up in the Lagrangian description. We assume that the initial data are spherically symmetric functions, and that the initial density and temperature are strictly positive. This problem has a unique spherically symmetric generalized solution globally in time. Here we introduce the Hölder continuous initial functions and prove that, for any T> 0, the state function is also Hölder continuous.