Shape optimization in two-dimensional viscous compressible fluids

被引：0

作者：

Zhong Tan

Ying Hui Zhang

机构：

[1] Xiamen University,School of Mathematical Sciences

[2] Hu’nan Institute of Science and Technology,Department of Mathematics

来源：

Acta Mathematica Sinica, English Series | 2010年 / 26卷

关键词：

Optimization shape; Orlicz spaces; Navier-Stokes equations; 35B30; 35Q30;

D O I：

暂无

中图分类号：

学科分类号：

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(ϱ) = aϱlogd(ϱ) for large ϱ. Here d > 1 and a > 0.

引用

页码：1793 / 1806

页数：13

共 18 条

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