Shape Optimization in Two-Dimensional Viscous Compressible Fluids

被引：0
|
作者：
Zhong TAN School of Mathematical Sciences
机构：
来源：
ActaMathematicaSinica(EnglishSeries) | 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;
D O I：
暂无
中图分类号：
O357 [粘性流体力学];
学科分类号：
摘要：
We present a method for solving the optimal shape problems for profiles surrounded byviscous compressible fluids in two space dimensions. The class of admissible profiles is quite generalincluding the minimal volume condition and a constraint on the thickness of the boundary. The fluidflow is modelled by the Navier-Stokes system for a general viscous barotropic fluid with the pressuresatisfying p(ρ) = aρlog~d(ρ) for large ρ. Here d > 1 and a > 0.
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页码：1793 / 1806
页数：14
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