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Justification of a two dimensional evolutionary Ginzburg-Landau superconductivity model

journal contribution
posted on 2023-06-07, 20:43 authored by Zhiming Chen, C M Elliott, Qi Tang
It is proved that a two dimensional evolutionary Ginzburg-Landau superconductivity model is an approximation of a corresponding thin plate three dimensional superconductivity model when the thickness of the plate uniformly approaches zero. Some related topics such as existence of weak solutions to the three dimensional variable thickness model and the convergence when the variable thickness tends to zero are discussed. A numerical experiment using the now model is reported.

History

Publication status

  • Published

Journal

Mathematical Modelling and Numerical Analysis

ISSN

0764583X

Publisher

Mathematical Modelling and Numerical Analysis

Issue

1

Volume

32

Page range

25-50

ISBN

0764-583X

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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