Determining nodes for the Ginzburg-Landau equations of superconductivity | Zendy

Hans G. Kaper | Zendy; Bixiang Wang | Zendy; Shouhong Wang | Zendy

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Determining nodes for the Ginzburg-Landau equations of superconductivity

Author(s) -

Hans G. Kaper,

Bixiang Wang,

Shouhong Wang

Publication year - 1998

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.1998.4.205

Subject(s) - superconductivity , physics , magnetic field , ginzburg–landau theory , set (abstract data type) , domain (mathematical analysis) , landau theory , finite set , mathematical physics , mathematics , condensed matter physics , mathematical analysis , quantum mechanics , phase transition , computer science , programming language

It is shown that a solution of the time-independent Ginzburg-Landau equations of superconductivity is determined completely and exactly by its values at a finite but sufficiently dense set of determining nodes in the domain. If the applied magnetic field is time dependent and asymptotically stationary, the large-time asymptotic behavior of a solution of the time-dependent Ginzburg-Landau equations of superconductivity is determined similarly by its values at a finite set of determining nodes, whose positions may vary with time.

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