Communications in Mathematical Sciences
Volume 13 (2015)
Subsonic potential flows in general smooth bounded domains
Pages: 2053 – 2064
In this paper, we study the existence and uniqueness of subsonic potential flows in general smooth bounded domains when the normal component of the momentum on the boundary is prescribed. It is showed that if the Bernoulli constant is given larger than a critical number, there exists a unique subsonic potential flow. Moreover, as the Bernoulli constants decrease to the critical number, the subsonic flows converge to a subsonic-sonic flow.
steady Euler equations, subsonic flows, subsonic-sonic flows, potential flows, Bernoulli constant
2010 Mathematics Subject Classification
35J25, 35J70, 35Q35, 76H05