On the nonexistence of a global nontrivial subsonic solution in a 3D unbounded angular domain |
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Authors: | Jun Li HuiCheng Yin ChunHui Zhou |
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Affiliation: | 1. Department of Mathematics & IMS, Nanjing University, Nanjing, 210093, China
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Abstract: | In this paper, under some assumptions on the flow with a low Mach number, we study the nonexistence of a global nontrivial subsonic solution in an unbounded domain Ω which is one part of a 3D ramp. 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 fundamental a priori estimate on the solution of a second order linear elliptic equation in Ω with Neumann boundary conditions on ?Ω and Dirichlet boundary value at some point of ?Ω, we show that there is no global nontrivial subsonic flow with a low Mach number in such a domain Ω. |
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