Global strong solutions to the 3D inhomogeneous heat-conducting incompressible fluids
Global strong solutions to the 3D inhomogeneous heat-conducting incompressible fluids
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DOI：
10.1080/00036811.2017.1399362
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发表时间：
2019-02
影响因子：
1.1
通讯作者：
Hao Xu;Haibo Yu
中科院分区：
文献类型：
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作者：
Hao Xu;Haibo Yu
摘要研究了具有密度和绝对温度依赖粘性的三维非均匀导热流体初边值问题的整体正则性。设为初速度。通过时间加权的先验估计，在小的假设下，我们得到了正初始密度下强解的整体存在性。对于初始真空是允许的情况下，我们证明了强解的整体存在提供小。值得指出的是，初始温度可以任意大。
ABSTRACT This paper concerns the global regularity to an initial boundary value problem for the three-dimensional (3D) inhomogeneous heat-conducting fluids with density and absolute temperature-dependent viscosity. Let be the initial velocity. Through some time-weighted a priori estimates, we establish global existence of strong solutions for positive initial density under assumption that is small. For the case when initial vacuum is allowed, we show that strong solutions globally exist provided small. It is worth pointing out that the initial temperature can be arbitrarily large.