Zero shear viscosity limit and boundary layer for the Navier-Stokes equations of compressible fluids between two horizontal parallel plates

被引:4
作者
Zhou, Wenshu [1 ]
Qin, Xulong [2 ]
Qu, Chengyuan [1 ]
机构
[1] Dalian Nationalites Univ, Dept Math, Dalian 116600, Peoples R China
[2] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
关键词
Navier-Stokes equations; global existence; zero shear viscosity; convergence rate; boundary layer; GLOBAL SMOOTH SOLUTIONS; STABILITY; EXISTENCE; FLOWS;
D O I
10.1088/0951-7715/28/6/1721
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider an initial-boundary problem for the three-dimensional Navier-Stokes equations of compressible fluids between two horizontal parallel plates, where heat conductivity. may depend on both density rho and temperature theta such that kappa(rho, theta) >= kappa(1) equivalent to constant > 0, for all(rho), theta > 0. We prove the global existence of strong solutions for large data and justify the zero shear viscosity limit as the shear viscosity mu goes to zero. Moreover, we establish the value mu(alpha) with any alpha is an element of (0, 1/2) for the boundary layer thickness.
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页码:1721 / 1743
页数:23
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