Shape Optimization in Two-Dimensional Viscous Compressible Fluids

作     者：Zhong TAN Ying Hui ZHANG 

作者机构：School of Mathematical Sciences Xiamen University Xiamen 361005 P. R. China Department of Mathematics Hu'nan Institute of Science and Technology Yueyang 414006 P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2010年第26卷第9期

页      面：1793-1806页

核心收录：

学科分类：080706[工学-化工过程机械] 080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Supported by National Natural Science Foundation of China-NSAF (Grant No. 10976026) 

主　　题：Optimization shape Orlicz spaces Navier-Stokes equations 

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（o） = aQlog^d（o） for large Q. Here d 〉 1 and a 〉 0.