Global existence of strong solutions to MHD with density-depending viscosity and temperature-depending heat-conductivity in unbounded domains

2021 ◽  
Vol 62 (1) ◽  
pp. 011508
Author(s):  
Yuebo Cao ◽  
Yi Peng ◽  
Ying Sun
Keyword(s):  
Global Existence ◽  
Heat Conductivity ◽  
Unbounded Domains ◽  
Strong Solutions

scholarly journals Global large solutions to the planar magnetohydrodynamics equations with constant heat conductivity

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Wei Li ◽  
Zhaoyang Shang
Keyword(s):  
Global Existence ◽  
Heat Conductivity ◽  
Strong Solutions ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Constant Heat ◽  
Magnetic Diffusion ◽  
New Methods ◽  
Large Solutions ◽  
Initial Boundary Value

Abstract This paper is concerned with global existence of large solutions to the initial-boundary value problem of the planar magnetohydrodynamic compressible flow. Under the assumptions that viscosity and heat conductivity coefficients are constants, magnetic diffusion is a function of the specific volume, we obtain the global existence of strong solutions. Some new methods are developed to deal with the complex interaction between the hydrodynamic and magnetodynamics effects.

scholarly journals Global existence of strong solutions for incompressible hydrodynamic flow of liquid crystals with vacuum

Filomat ◽  
2013 ◽  
Vol 27 (7) ◽  
pp. 1247-1257 ◽  
Author(s):  
Shijin Ding ◽  
Jinrui Huang ◽  
Fengguang Xia
Keyword(s):  
Cauchy Problem ◽  
Liquid Crystals ◽  
Global Existence ◽  
Existence And Uniqueness ◽  
Strong Solutions ◽  
Hydrodynamic Flow ◽  
Three Dimensions ◽  
Small Initial Data ◽  
The Cauchy Problem ◽  
Global Existence And Uniqueness

We consider the Cauchy problem for incompressible hydrodynamic flow of nematic liquid crystals in three dimensions. We prove the global existence and uniqueness of the strong solutions with nonnegative p0 and small initial data.

Sign in / Sign up

Export Citation Format

Share Document