Existence of solutions of a system of 3D axisymmetric inviscid stagnation flows

Boundary value problems

YZ Xu¹  LF Dang¹  GC Yang¹ 

[1] College of Mathematics, Chengdu University of Information Technology, Chengdu, P.R. China

关键词: Navier-Stokes equations;    3D flows;    similarity solutions;    integral systems;    existence results;   

DOI  :  10.1186/1687-2770-2012-153

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

A system of two integral equations is presented to describe the system of 3D axisymmetric inviscid stagnation flows related to Navier-Stokes equations and existence of its solutions is studied. Utilizing it, we construct analytically the similarity solutions of the 3D system. A nonexistence result is obtained. Previous study was only supported by numerical results. MSC:34B18.

【 授权许可】

CC BY