scholarly journals A Non-Stationary Model of the Incompressible Viscoelastic Kelvin-Voigt Fluid of Non-Zero Order in the Magnetic Field of the Earth

2019 ◽  
Vol 12 (3) ◽  
pp. 42-51
Author(s):  
A.O. Kondyukov ◽  
◽  
T.G. Sukacheva ◽  
◽  
Keyword(s):  
Magnetic Field ◽  
Zero Order ◽  
Stationary Model ◽  
The Earth ◽  
The Magnetic Field ◽  
Voigt Fluid

scholarly journals On the differential system govering flows in magnetic field with data inLp

1998 ◽  
Vol 21 (2) ◽  
pp. 299-305 ◽  
Author(s):  
Fengxin Chen ◽  
Ping Wang ◽  
Chaoshun Qu
Keyword(s):  
Magnetic Field ◽  
Initial Data ◽  
Boundary Conditions ◽  
Differential System ◽  
Existence And Uniqueness ◽  
Mhd Equations ◽  
The Earth ◽  
Initial And Boundary Conditions ◽  
Time Existence ◽  
The Magnetic Field

In this paper we study the system governing flows in the magnetic field within the earth. The system is similar to the magnetohydrodynamic (MHD) equations. For initial data in spaceLp, we obtained the local in time existence and uniqueness ofweak solutions of the system subject to appropriate initial and boundary conditions.

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