Flux of superconducting vortices through a domainстатья
Статья опубликована в высокорейтинговом журнале
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Дата последнего поиска статьи во внешних источниках: 10 августа 2018 г.
Аннотация:This article addresses the mathematical study of a mean-field model of superconducting vortices in a II-type superconductor, previously introduced in [S. J. Chapman, SIAM J. Appl. Math., 55 (1995), pp. 1259–1279]. We investigate a hyperbolic-elliptic type system of PDEs in a given domain. Motivated by physical experiments, we consider nonzero and nonconstant boundary conditions, which describe a flux of superconducting vortices through the domain. We prove the existence of the regular solutions of a parabolic-elliptic approximated system and establish a uniform $L_ \infty $-bound for the vorticity and the convergence to the initial system. Finally, we analyze the regularity of weak solutions.
Read More: https://epubs.siam.org/doi/abs/10.1137/060655146