TRANSONIC FLOWS AND ISOMETRIC EMBEDDINGS

被引：0
|
作者：
Chen, Gui-Qiang G. [1 ]
Slemrod, Marshall [1 ]
Wang, Dehua [1 ]
机构：
[1] Northwestern Univ, Dept Math, Evanston, IL 60208 USA
来源：
NONLINEAR CONSERVATION LAWS AND APPLICATIONS | 2011年 / 153卷
关键词：
Transonic flow; viscosity method; Euler equations; gas dynamics; compensated compactness; entropy solutions; isometric embedding; two-dimensional Riemannian manifold; Gauss-Codazzi system; negative Gauss curvature;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Transonic flows past an obstacle such as an airfoil are first considered. A viscous approximation to the steady transonic flow problem is presented, and its convergence is obtained by the method of compensated compactness. Then the isometric embedding problem in geometry is discussed. A fluid dynamic formulation of the Gauss-Codazzi system for the isometric embedding of two-dimensional Riemannian manifolds is provided, and an existence result of isometric immersions with negative Gauss curvature is given.
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页码：257 / 266
页数：10
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