On the Compressible Bidirectional Vortex. Part 1: A Bragg-Hawthorne Stream Function Formulation

2012 ◽  
Author(s):  
Brian Maicke ◽  
Joseph Majdalani
Keyword(s):  
Stream Function ◽  
Function Formulation ◽  
Stream Function Formulation

scholarly journals Equivalence of weak formulations of the steady water waves equations

2012 ◽  
Vol 370 (1964) ◽  
pp. 1703-1719 ◽  
Author(s):  
Eugen Varvaruca ◽  
Arghir Zarnescu
Keyword(s):  
Stream Function ◽  
Water Waves ◽  
Hölder Regularity ◽  
Function Formulation ◽  
Stream Function Formulation ◽  
Holder Regularity

We prove the equivalence of three weak formulations of the steady water waves equations, namely: the velocity formulation, the stream function formulation and the Dubreil-Jacotin formulation, under weak Hölder regularity assumptions on their solutions.

Sign in / Sign up

Export Citation Format

Share Document