On the Solutions of the Equation Arising from the Singular Limit of Some Eigen Problems

Author(s):  
Shuenn-Jyi Sheu ◽  
Alexander D. Wentzell
Keyword(s):  
2017 ◽  
Vol 49 (4) ◽  
pp. 2468-2495 ◽  
Author(s):  
To Fu Ma ◽  
Rodrigo Nunes Monteiro

2001 ◽  
Vol 03 (02) ◽  
pp. 215-257 ◽  
Author(s):  
ANÍBAL RODRÍGUEZ-BERNAL ◽  
ENRIQUE ZUAZUA
Keyword(s):  

2017 ◽  
Vol 2017 ◽  
pp. 1-9
Author(s):  
Young-Sam Kwon

We consider the compressible models of magnetohydrodynamic flows giving rise to a variety of mathematical problems in many areas. We derive a rigorous quasi-geostrophic equation governed by magnetic field from the stratified flows of the rotational compressible magnetohydrodynamic flows with the well-prepared initial data and the tool of proof is based on the relative entropy. Furthermore, the convergence rates are obtained.


2014 ◽  
Vol 79 (01) ◽  
pp. 193-207 ◽  
Author(s):  
LAURA FONTANELLA

Abstract An inaccessible cardinal is strongly compact if, and only if, it satisfies the strong tree property. We prove that if there is a model of ZFC with infinitely many supercompact cardinals, then there is a model of ZFC where ${\aleph _{\omega + 1}}$ has the strong tree property. Moreover, we prove that every successor of a singular limit of strongly compact cardinals has the strong tree property.


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