Wenxia Chen, Gang Xu, Qin Xu
Abstract:
In this article, we focus on the existence and stability of a
subsonic global solution in an infinitely long curved nozzle for the
three-dimensional steady potential flow equation.
By introducing some suitably weighted Holder spaces and establishing
a series of a priori estimates on the solution to second order
linear elliptic equation in an unbounded strip domain with two
Neumann boundary conditions and one periodic boundary condition
with respect to some variable, we show that the global subsonic
solution of potential flow equation in a 3-D nozzle exists
uniquely when the state of subsonic flow at negative infinity is
given. Meanwhile, the asymptotic state of the subsonic solution at
positive infinity as well as the asymptotic behavior at minus
infinity are also studied.
Submitted April 27, 2017. Published June 17, 2017.
Math Subject Classifications: 35L70, 35L65, 35L67, 76N15.
Key Words: Subsonic flow; potential flow equation; weighted Holder space;
global solution.
Show me the PDF file (495 KB), TEX file for this article.
 |
Wenxia Chen Faculty of Science Jiangsu University Zhenjiang, Jiangsu 212013, China email: chenwx@ujs.edu.cn |
|---|---|
 |
Gang Xu Faculty of Science Jiangsu University Zhenjiang, Jiangsu 212013, China email: gxu@ujs.edu.cn |
 |
Qin Xu Faculty of Science Jiangsu University Zhenjiang, Jiangsu 212013, China email: qinxu_math@163.com |
Return to the EJDE web page