Multiple Ginzburg–Landau vortices pinned by randomly distributed small holes

Author:

Berlyand Leonid1,Mityushev Vladimir2,Ryan Shawn D3

Affiliation:

1. Department of Mathematics, Pennsylvania State University, McAllister Bldg. University Park, Pennsylvania, USA

2. Department of Computer Science and Computational Methods, Pedagogical University of Cracow, Poland

3. Department of Mathematics, Cleveland State University, Euclid Ave., Cleveland, Ohio, USA

Funder

National Science Foundation

Cleveland State University

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics

Reference36 articles.

1. Pinning effects and their breakdown for a Ginzburg-Landau model with normal inclusions;Alama;J. Math. Phys.,,2005

2. Vortices and pinning effects for the Ginzburg-Landau model with multiply connected domains;Alama;Comm. Pure Appl,2006

3. Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint. II;Aydi;Commun. Pure Appl. Anal.,2009

4. On approximation of Ginzburg--Landau minimizers by S1-valued maps in domains with vanishingly small holes;Berlyand,2018

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