Open Access Research

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

GC Yang*, LF Dang and YZ Xu

Author Affiliations

College of Mathematics, Chengdu University of Information Technology, Chengdu, Sichuan, 610225, P.R. China

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Boundary Value Problems 2012, 2012:153 doi:10.1186/1687-2770-2012-153

Published: 28 December 2012

Abstract

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.

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