亚音速流爬坡问题非平凡解的不存在性

本文主要研究三维亚音速流爬坡问题非平凡解的不存在性,在本文中,我们假设流体是等熵定常无旋的,也就是说,可以用定常的位势流方程来描述.通过建立三维角状区域中二阶线性椭圆方程Neumann边值的先验估计,我们证明在这样的区域中不存在全局非平凡的低马赫亚音速流.本文将已有结果中的区域推广到整个完全的三维角状区域.

NONEXISTENCE OF A GLOBAL NONTRIVIAL SUBSONIC SOLUTION PAST AN UNBOUNDED 3D RAMP

In this paper,we study the nonexistence of a global nontrivial subsonic solution in an unbounded 3D ramp Ω.The flow is assumed to be steady,isentropic and irrotational,namely,the movement of the flow is described by the potential equation.By establishing a prior estimate on the solution of the Laplace equation in Ω with Neumann boundary condition on (6)Ω,we prove that there is no global nontrivial subsonic flow with low Mach number in such domain.This paper extendes an existing result to a full 3D ramp case.