Blow-up criterion for two-dimensional viscous, compressible, and heat conducting magnetohydrodynamic flows

2016 ◽  
Vol 139 ◽  
pp. 55-74 ◽  
Author(s):  
Li Lu ◽  
Yajin Chen ◽  
Bin Huang
Keyword(s):  
Blow Up ◽  
Heat Conducting ◽  
Two Dimensional ◽  
Magnetohydrodynamic Flows ◽  
Blow Up Criterion

scholarly journals A blow-up criterion for two dimensional compressible viscous heat-conductive flows

2012 ◽  
Vol 75 (6) ◽  
pp. 3130-3141 ◽  
Author(s):  
Daoyuan Fang ◽  
Ruizhao Zi ◽  
Ting Zhang
Keyword(s):  
Blow Up ◽  
Two Dimensional ◽  
Viscous Heat ◽  
Blow Up Criterion

scholarly journals Blow-up criterion for the density dependent inviscid Boussinesq equations

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Li Li ◽  
Yanping Zhou
Keyword(s):  
Velocity Field ◽  
Energy Method ◽  
Blow Up ◽  
A Priori Estimates ◽  
A Priori ◽  
Boussinesq Equations ◽  
Smooth Solutions ◽  
Density Dependent ◽  
Priori Estimates ◽  
Blow Up Criterion

Abstract In this work, we consider the density-dependent incompressible inviscid Boussinesq equations in $\mathbb{R}^{N}\ (N\geq 2)$ R N ( N ≥ 2 ) . By using the basic energy method, we first give the a priori estimates of smooth solutions and then get a blow-up criterion. This shows that the maximum norm of the gradient velocity field controls the breakdown of smooth solutions of the density-dependent inviscid Boussinesq equations. Our result extends the known blow-up criteria.

On the Blow-Up Criterion for Incompressible Stokes–MHD Equations

2018 ◽  
Vol 73 (3) ◽  
Author(s):  
Ahmad Mohammad Alghamdi ◽  
Sadek Gala ◽  
Maria Alessandra Ragusa
Keyword(s):  
Blow Up ◽  
Mhd Equations ◽  
Blow Up Criterion
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