Strong Solutions to Non-stationary Channel Flows of Heat-Conducting Viscous Incompressible Fluids with Dissipative Heating

被引：0
|
作者：
Michal Beneš
机构：
[1] Czech Technical University in Prague,Department of Mathematics and Centre for Integrated Design of Advanced Structures, Faculty of Civil Engineering
来源：
Acta Applicandae Mathematicae | 2011年 / 116卷
关键词：
Navier-Stokes equations; Heat equation; Heat-conducting fluid; Qualitative properties; Mixed boundary conditions; 35Q30; 35K05; 76D03;
D O I：
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学科分类号：
摘要：
We study an initial-boundary-value problem for time-dependent flows of heat-conducting viscous incompressible fluids in channel-like domains on a time interval (0,T). For the parabolic system with strong nonlinearities and including the artificial (the so called “do nothing”) boundary conditions, we prove the local in time existence, global uniqueness and smoothness of the solution on a time interval (0,T∗), where 0<T∗≤T.
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页码：237 / 254
页数：17
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