A triangular spectral method for the Stokes eigenvalue problem by the stream function formulation

2017 ◽  
Vol 34 (3) ◽  
pp. 825-837 ◽  
Author(s):  
Junying Cao ◽  
Ziqiang Wang ◽  
Lizhen Chen
Keyword(s):  
Eigenvalue Problem ◽  
Spectral Method ◽  
Stream Function ◽  
Stokes Eigenvalue Problem ◽  
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.

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