Mohammed El khomssi
Thermal equilibrium states of superconductors are governed by the nonlinear problem
with boundary condition . Here the domain is an open subset of with smooth boundary. The field represents the thermal state, which we assume is in . The state models the superconductor's state which is the unique physically meaningful solution. In previous works, the superconductor domain is unidirectional while in this paper we consider a domain with arbitrary geometry. We obtain the following results: A set of criteria that leads to uniqueness of a superconductor state, a study of the existence of normal states and the number of them, and optimal criteria when the geometric dimension is 1.
Published October 15, 2004.
Math Subject Classifications: 35J60, 34L30, 35Q99.
Key Words: Equilibrium states; nonlinear; thermal equilibrium; superconductors.
Show me the PDF file (230K), TEX file, and other files for this article.
| Mohammed El Khomssi |
UFR MDA Faculty of Sciences and Technology
Return to the EJDE web page