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A mathematical investigation of solu...

Dudek, John A.

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A mathematical investigation of solutions for the two-component order parameter in the Ginzburg-Landau equations of superconductivity.

Record Type:	Electronic resources : Monograph/item
Title/Author:	A mathematical investigation of solutions for the two-component order parameter in the Ginzburg-Landau equations of superconductivity./
Author:	Dudek, John A.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2008,
Description:	176 p.
Notes:	Source: Dissertations Abstracts International, Volume: 70-04, Section: B.
Contained By:	Dissertations Abstracts International70-04B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3314414
ISBN:	9780549652816

A mathematical investigation of solutions for the two-component order parameter in the Ginzburg-Landau equations of superconductivity.
Dudek, John A.

A mathematical investigation of solutions for the two-component order parameter in the Ginzburg-Landau equations of superconductivity. - Ann Arbor : ProQuest Dissertations & Theses, 2008 - 176 p.

Source: Dissertations Abstracts International, Volume: 70-04, Section: B.

Thesis (Ph.D.)--The University of Wisconsin - Milwaukee, 2008.

We derive the non-linear Ginzburg-Landau equations for unconventional, two-component, superconductors that have a simple cubic crystalline structure. We define appropriate function spaces in which weak solutions of the Ginzburg-Landau equations for both conventional (one-component) and unconventional superconductors may exist. We give existence and uniqueness theorems for weak solutions in such spaces. We examine restrictions on physical parameters associated with both types of superconductors necessary for the existence of the solutions. The results shown here can be applied to all types of conventional superconductors and may be extended to superconducting materials with other crystalline structures.

ISBN: 9780549652816Subjects--Topical Terms:

515831
Mathematics.
Subjects--Index Terms:

Ginzburg-Landau equations

A mathematical investigation of solutions for the two-component order parameter in the Ginzburg-Landau equations of superconductivity.
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020 $a 9780549652816
035 $a (MiAaPQ)AAI3314414
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100 1 $a Dudek, John A. $3 3548245
245 1 0 $a A mathematical investigation of solutions for the two-component order parameter in the Ginzburg-Landau equations of superconductivity.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2008
300 $a 176 p.
500 $a Source: Dissertations Abstracts International, Volume: 70-04, Section: B.
500 $a Publisher info.: Dissertation/Thesis.
500 $a Advisor: Milani, Albert;Agterberg, Daniel.
502 $a Thesis (Ph.D.)--The University of Wisconsin - Milwaukee, 2008.
520 $a We derive the non-linear Ginzburg-Landau equations for unconventional, two-component, superconductors that have a simple cubic crystalline structure. We define appropriate function spaces in which weak solutions of the Ginzburg-Landau equations for both conventional (one-component) and unconventional superconductors may exist. We give existence and uniqueness theorems for weak solutions in such spaces. We examine restrictions on physical parameters associated with both types of superconductors necessary for the existence of the solutions. The results shown here can be applied to all types of conventional superconductors and may be extended to superconducting materials with other crystalline structures.
590 $a School code: 0263.
650 4 $a Mathematics. $3 515831
650 4 $a Condensation. $3 942542
650 4 $a Materials science. $3 543314
653 $a Ginzburg-Landau equations
653 $a Partial differential equations
653 $a Superconductivity
653 $a Variational solutions
653 $a Weak solutions
690 $a 0405
690 $a 0611
690 $a 0794
710 2 $a The University of Wisconsin - Milwaukee. $3 1019345
773 0 $t Dissertations Abstracts International $g 70-04B.
790 $a 0263
791 $a Ph.D.
792 $a 2008
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3314414