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Vortices in the Ginzburg-Landau Superconductivity Model

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서명/저자사항Vortices in the Ginzburg-Landau Superconductivity Model.
개인저자Iaroshenko, Oleksandr.
단체저자명The Pennsylvania State University. Mathematics.
발행사항[S.l.]: The Pennsylvania State University., 2018.
발행사항Ann Arbor: ProQuest Dissertations & Theses, 2018.
형태사항70 p.
기본자료 저록Dissertation Abstracts International 79-12B(E).
Dissertation Abstract International
ISBN9780438135055
학위논문주기Thesis (Ph.D.)--The Pennsylvania State University, 2018.
일반주기 Source: Dissertation Abstracts International, Volume: 79-12(E), Section: B.
요약In this dissertation we analyze the behavior of vortices in superconductors. The vortices might appear in a superconductor when it is immersed in a magnetic field and lead to the energy dissipation which makes them important to study.
요약In Chapter 1 we discuss the main concepts related to superconductivity and introduce the Ginzburg-Landau model that describes this phenomenon. We explain the nature of superconductivity and the Ginzburg-Landau model in both physical and mathemat
요약In Chapter 2 (with L. Berlyand, V. Rybalko, and V. Vinokur [1]) we show that a particular configuration of the geometry of a superconducting sample as well as the strength of the magnetic field leads to the pinning effect which presents an unexp
요약Chapter 3 (with D. Golovaty, V. Rybalko, and L. Berlyand [2]) justifies the assumption used in Chapter 2. We consider a similar setting to the one used in Chapter 2 with CDs arranged randomly instead of periodically. The number of CDs is fixed a
일반주제명Mathematics.
Applied mathematics.
언어영어
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