Existence of solutions of a system of 3D axisymmetric inviscid stagnation flows
College of Mathematics, Chengdu University of Information Technology, Chengdu, Sichuan, 610225, P.R. China
Boundary Value Problems 2012, 2012:153 doi:10.1186/1687-2770-2012-153Published: 28 December 2012
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.