Boundary value problems of the Ginzburg-Landau equations

Research output: Contribution to journalArticle

Abstract

For a domain Ω in the Euclidean space Rd (d = 2, 3) existence of weak solutions for both interior and exterior Dirichlet boundary value problems of the Ginzburg-Landau equations are established without any restriction on the range of the coupling constant λ, the size of Ω, or the boundary data. For the critical choice λ = 1, we prove the existence of confined multivortices in a bounded domain by a constructive monotone iteration method.

Original languageEnglish (US)
Pages (from-to)355-365
Number of pages11
JournalProceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume114
Issue number3-4
DOIs
StatePublished - 1990

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Exterior Boundary Value Problem
Monotone Iteration
Monotone Method
Dirichlet Boundary Value Problem
Existence of Weak Solutions
Ginzburg-Landau Equation
Iteration Method
Euclidean space
Bounded Domain
Interior
Boundary Value Problem
Restriction
Range of data

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Boundary value problems of the Ginzburg-Landau equations. / Yang, Yisong.

In: Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 114, No. 3-4, 1990, p. 355-365.

Research output: Contribution to journalArticle

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