scholarly journals Blow-up of a dyadic model with intermittency dependence for the Hall MHD

2021 ◽  
pp. 133066
Author(s):  
Mimi Dai
Keyword(s):  
Blow Up ◽  
Hall Mhd ◽  
Dyadic Model

On blow-up criteria for a new Hall-MHD system

2016 ◽  
Vol 274 ◽  
pp. 20-24 ◽  
Author(s):  
Jishan Fan ◽  
Bashir Ahmad ◽  
Tasawar Hayat ◽  
Yong Zhou
Keyword(s):  
Blow Up ◽  
Mhd System ◽  
Hall Mhd

On well-posedness and blow-up for the full compressible Hall-MHD system

2016 ◽  
Vol 31 ◽  
pp. 569-579 ◽  
Author(s):  
Jishan Fan ◽  
Bashir Ahmad ◽  
Tasawar Hayat ◽  
Yong Zhou
Keyword(s):  
Blow Up ◽  
Well Posedness ◽  
Mhd System ◽  
Hall Mhd

scholarly journals Local Well-Posedness and Blow-Up for the Solutions to the Axisymmetric Inviscid Hall-MHD Equations

2018 ◽  
Vol 2018 ◽  
pp. 1-16
Author(s):  
Eunji Jeong ◽  
Junha Kim ◽  
Jihoon Lee
Keyword(s):  
Classical Solution ◽  
Finite Time ◽  
Blow Up ◽  
Mhd Equations ◽  
Well Posedness ◽  
Regular Solutions ◽  
Regularity Problem ◽  
Time Existence ◽  
Hall Mhd

In this paper, we consider the regularity problem of the solutions to the axisymmetric, inviscid, and incompressible Hall-magnetohydrodynamics (Hall-MHD) equations. First, we obtain the local-in-time existence of sufficiently regular solutions to the axisymmetric inviscid Hall-MHD equations without resistivity. Second, we consider the inviscid axisymmetric Hall equations without fluids and prove that there exists a finite time blow-up of a classical solution due to the Hall term. Finally, we obtain some blow-up criteria for the axisymmetric resistive and inviscid Hall-MHD equations.

scholarly journals On the blow-up criterion for the Hall-MHD problem with partial dissipation in R^3

2021 ◽  
Author(s):  
Baoying Du
Keyword(s):  
Blow Up ◽  
Global Solutions ◽  
Small Data ◽  
Partial Dissipation ◽  
Hall Mhd ◽  
Blow Up Criterion

We deal with the incompressible 3D Hall-magnetohydrodynamics with partial dissipation, a new blow-up criterion is obtained, based on which we also prove a new global solutions with small data.

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