Continuous Dependence of Solutions in Low Regularity Spaces for the Hall-MHD Equations

2020 ◽  
Vol 43 (6) ◽  
pp. 4029-4040
Author(s):  
Xing Wu ◽  
Wenya Ma
Keyword(s):  
Continuous Dependence ◽  
Mhd Equations ◽  
Low Regularity ◽  
Hall Mhd ◽  
Continuous Dependence Of Solutions

scholarly journals Global well-posedness of the full compressible Hall-MHD equations

2021 ◽  
Vol 10 (1) ◽  
pp. 1235-1254
Author(s):  
Qiang Tao ◽  
Canze Zhu
Keyword(s):  
Global Solution ◽  
Large Time ◽  
Initial Temperature ◽  
Large Time Behavior ◽  
Initial Energy ◽  
Mhd Equations ◽  
Well Posedness ◽  
Time Behavior ◽  
Magnetohydrodynamic Flows ◽  
Hall Mhd

Abstract This paper deals with a Cauchy problem of the full compressible Hall-magnetohydrodynamic flows. We establish the existence and uniqueness of global solution, provided that the initial energy is suitably small but the initial temperature allows large oscillations. In addition, the large time behavior of the global solution is obtained.

scholarly journals Functional Differential Inequalities with Unbounded Delay

2005 ◽  
Vol 12 (2) ◽  
pp. 237-254
Author(s):  
Zdzisław Kamont ◽  
Adam Nadolski
Keyword(s):  
Differential Inequality ◽  
Continuous Dependence ◽  
Functional Differential Equations ◽  
Uniqueness Result ◽  
Classical Solutions ◽  
Differential Inequalities ◽  
Unbounded Delay ◽  
Several Variables ◽  
Functional Differential ◽  
Continuous Dependence Of Solutions

Abstract We prove that a function of several variables satisfying a functional differential inequality with unbounded delay can be estimated by a solution of a suitable initial problem for an ordinary functional differential equation. As a consequence of the comparison theorem we obtain a Perron-type uniqueness result and a result on continuous dependence of solutions on given functions for partial functional differential equations with unbounded delay. We consider classical solutions on the Haar pyramid.

New regularity criteria for the 3D Hall-MHD equations

2018 ◽  
Vol 121 (1) ◽  
pp. 7-20 ◽  
Author(s):  
Ahmad Mohammad Alghamdi ◽  
Sadek Gala ◽  
Maria Alessandra Ragusa
Keyword(s):  
Mhd Equations ◽  
Regularity Criteria ◽  
Hall Mhd
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