Discontinuous Solutions of Steady State, Viscous Compressible Navier-Stokes Equations

✍ Scribed by X.F. Chen; W.Q. Xie

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 620 KB
• Volume: 115
• Category: Article
• ISSN: 0022-0396
• DOI: 10.1006/jdeq.1995.1006

✦ Synopsis

We study a steady-state, viscous, compressible Navier-Stokes flow in a rectangle (\Omega \equiv(0,1) \times(-1,1)) with the boundary condition ((u, v)=(1,0)) for the velocity field ((u, v)) and the condition (p(0, y)=p^{0}(y)) for the pressure (p) on ({0} \times(-1,1)), which is the part of the boundary where the stream lines emanate. Under the condition that (p^{0}(y)) has a jump at (y=0), we establish the existence and uniqueness of the solution having discontinuity along the stream line starting from the origin.

C 1995 Academic Press, Inc.