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020 ▼a 9780438135055
035 ▼a (MiAaPQ)AAI10903680
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 247004
0820 ▼a 510
1001 ▼a Iaroshenko, Oleksandr.
24510 ▼a Vortices in the Ginzburg-Landau Superconductivity Model.
260 ▼a [S.l.]: ▼b The Pennsylvania State University., ▼c 2018.
260 1 ▼a Ann Arbor: ▼b ProQuest Dissertations & Theses, ▼c 2018.
300 ▼a 70 p.
500 ▼a Source: Dissertation Abstracts International, Volume: 79-12(E), Section: B.
5021 ▼a Thesis (Ph.D.)--The Pennsylvania State University, 2018.
520 ▼a In 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.
520 ▼a In 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
520 ▼a In 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
520 ▼a Chapter 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
590 ▼a School code: 0176.
650 4 ▼a Mathematics.
650 4 ▼a Applied mathematics.
690 ▼a 0405
690 ▼a 0364
71020 ▼a The Pennsylvania State University. ▼b Mathematics.
7730 ▼t Dissertation Abstracts International ▼g 79-12B(E).
773 ▼t Dissertation Abstract International
790 ▼a 0176
791 ▼a Ph.D.
792 ▼a 2018
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T15000670 ▼n KERIS ▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다.
980 ▼a 201812 ▼f 2019
990 ▼a ***1012033