scholarly journals On a Degenerate Evolution System Associated with the Bean Critical-State for Type II Superconductors

2015 ◽  
Vol 2015 ◽  
pp. 1-13
Author(s):  
Junichi Aramaki
Keyword(s):  
Magnetic Field ◽  
Boundary Conditions ◽  
Bounded Domain ◽  
Critical State ◽  
Regularity Of Solutions ◽  
Evolution System ◽  
Type Ii ◽  
Type Ii Superconductors ◽  
Limit Solution ◽  
The Magnetic Field

We study a degenerate evolution system containing thep-curl system in a bounded domain with initial and boundary conditions for the magnetic fieldHunder the influence of a system forceF. This is concerned with an approximation of Bean’s critical-state model for type II superconductors. We will show the existence, uniqueness, and regularity of solutions. Moreover we will get the properties of the limit solution asp→∞.

scholarly journals A degenerate evolution system modeling bean's critical-state type-II superconductors

2002 ◽  
Vol 8 (3) ◽  
pp. 781-794 ◽  
Author(s):  
H. M. Yin ◽  
◽  
Ben Q. Li ◽  
Jun Zou ◽  
◽  
...  
Keyword(s):  
Critical State ◽  
System Modeling ◽  
Evolution System ◽  
Type Ii ◽  
Type Ii Superconductors ◽  
State Type

Magnetic field and voltage noise in type-II superconductors

1994 ◽  
Vol 49 (22) ◽  
pp. 15813-15829 ◽  
Author(s):  
B. Plaçais ◽  
P. Mathieu ◽  
Y. Simon
Keyword(s):  
Magnetic Field ◽  
Voltage Noise ◽  
Type Ii ◽  
Type Ii Superconductors

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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