Shape optimization in two-dimensional viscous compressible fluids

被引：0

作者：

Tan, Zhong ^{[1
]}

Zhang, Ying Hui ^{[1
,2
]}

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

[2] Hunan Inst Sci & Technol, Dept Math, Yueyang 414006, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2010年 / 26卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Optimization shape; Orlicz spaces; Navier-Stokes equations; NAVIER-STOKES EQUATIONS; EXISTENCE; FLOW;

D O I：

10.1007/s10114-010-7584-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a method for solving the optimal shape problems for profiles surrounded by viscous compressible fluids in two space dimensions. The class of admissible profiles is quite general including the minimal volume condition and a constraint on the thickness of the boundary. The fluid flow is modelled by the Navier-Stokes system for a general viscous barotropic fluid with the pressure satisfying p(I +/-) = aI +/- log (d) (I +/-) for large I +/-. Here d > 1 and a > 0.

引用

页码：1793 / 1806

页数：14

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