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.

引用

页码：257 / 266

页数：10

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