๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Asymptotic Behavior of the Solutions of an Evolutionary Ginzburg-Landau Superconductivity Model

โœ Scribed by J. Liang; T. Qi

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
520 KB
Volume
195
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

โœฆ Synopsis

The asymptotic behaviour of the solutions of a non-stationary Ginzburg-Landau superconductivity model is discussed. Under suitable choices of gauge, it is proved that, as (t) tends to infinity, the (\omega)-limit set of the solutions of the evolutionary superconductivity model consists of the solutions of the steady-state problem only. An example of non-convergence is also given for solutions under a particular choice of gauge. o) 1995 Academic Press, Inc.

๐Ÿ“œ SIMILAR VOLUMES

Uniqueness of weak solutions in critical
Uniqueness of weak solutions in critical space of the 3-D time-dependent Ginzburg-Landau equations for superconductivity
โœ Jishan Fan; Hongjun Gao ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 144 KB ๐Ÿ‘ 1 views

## Abstract We prove the uniqueness of weak solutions of the 3โ€D timeโ€dependent Ginzburgโ€Landau equations for superโ€conductivity with initial data (__ฯˆ__~0~, __A__~0~)โˆˆ __L__^2^ under the hypothesis that (__ฯˆ__, __A__) โˆˆ __L__^__s__^(0, __T__; __L__^__r__,โˆž^) ร—$ L^{\bar s} $(0, __T__;$ L^{\bar r,