On some macroscopic models for type-II superconductivity

G. Akagi; M. Ôtani

doi:10.1016/j.na.2005.03.037

On some macroscopic models for type-II superconductivity

Research output: Contribution to journal › Article › peer-review

Abstract

This paper is concerned with a variational inequality with a time-dependent constraint, which arises from some macroscopic models of type-II superconductivity, as well as its approximate problems associated with generalized p-Laplace operators. We prove the existence and uniqueness of solutions for each problem by establishing an abstract theory for doubly nonlinear evolution equations governed by two time-dependent subdifferential operators in reflexive Banach spaces.

Original language	English
Pages (from-to)	e1155-e1166
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	63
Issue number	5-7
DOIs	https://doi.org/10.1016/j.na.2005.03.037
Publication status	Published - 2005 Nov 30
Externally published	Yes

Keywords

Bean's critical-state model
Doubly nonlinear evolution equation
Subdifferential operator

ASJC Scopus subject areas

Analysis
Applied Mathematics

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AB - This paper is concerned with a variational inequality with a time-dependent constraint, which arises from some macroscopic models of type-II superconductivity, as well as its approximate problems associated with generalized p-Laplace operators. We prove the existence and uniqueness of solutions for each problem by establishing an abstract theory for doubly nonlinear evolution equations governed by two time-dependent subdifferential operators in reflexive Banach spaces.

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KW - Subdifferential operator

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