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Fourth Mississippi State Conference on Differential Equations and Computational Simulations
May 21-22, 1999
Mississippi State University and Electronic Journal of Differential Equations
Starkville, MS, USA

Organizers
Ratnasingham Shivaji, Bharat Soni, Jianping Zhu (Program Chair)

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Analysis of solutions to the Lawrence-Doniach System for layered superconductors
by
Yangsuk Ko
Department of Mathematics, Purdue University
Coauthors: Patricia Bauman

We consider the Lawrence-Doniach system for layered superconductors such as the recently discovered high-temperature superconductors. First, we prove an existence result and a maximum principle of its solution and then improve the regularity of the solution in the divergence free guage. Finally, we analytically show the existence of a critical field hc such that when the absolute value of an applied magnetic field is greater than hc, the normal (nonsuperconducting) state is the only solution to the Lawrence-Doniach system.

Date received: March 22, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacr-13.