scholarly journals Spatial asymptotics of mild solutions to the time-dependent Oseen system

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Paul Deuring
Keyword(s):  
Mild Solutions ◽  
Time Dependent ◽  
Oseen System

scholarly journals Schauder-Tychonoff Fixed-Point Theorem in Theory of Superconductivity

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Mariusz Gil ◽  
Stanisław Wędrychowicz
Keyword(s):  
Magnetic Field ◽  
Banach Space ◽  
Fixed Point ◽  
Global Attractivity ◽  
Mild Solutions ◽  
Time Dependent ◽  
Ginzburg Landau ◽  
Superconducting Sample ◽  
Tdgl Equations ◽  
Theory Of Superconductivity

We study the existence of mild solutions to the time-dependent Ginzburg-Landau ((TDGL), for short) equations on an unbounded interval. The rapidity of the growth of those solutions is characterized. We investigate the local and global attractivity of solutions of TDGL equations and we describe their asymptotic behaviour. The TDGL equations model the state of a superconducting sample in a magnetic field near critical temperature. This paper is based on the theory of Banach space, Fréchet space, and Sobolew space.

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