IJPAM: Volume 21, No. 2 (2005)

ASYMPTOTICS OF UPPER CRITICAL FIELD
OF A SUPERCONDUCTOR IN APPLIED
MAGNETIC FIELD VANISHING OF HIGHER ORDER

Junichi Aramaki
Department of Mathematical Sciences
School of Science and Engineering
Tokyo Denki University
Hatoyama-machi, Hiki-gun, Saitama-Ken, 350-0394, JAPAN
e-mail: aramaki@r.dendai.ac.jp


Abstract.We consider the Ginzburg-Landau equations in the superconductivity theory. Our final aim is to get the asymptotic behavior of the upper critical field as the Ginzburg-Landau parameter is large in the case where the applied magnetic field vanishes of higher order in a submanifold of a bounded, simply connected region in $\rr ^2$. We also give the concentration of the order parameter in that case. This research is an improvement of the results in Pan and Kwek [10].

Received: February 28, 2005

AMS Subject Classification: 35Q55, 81Q10, 82D55

Key Words and Phrases: superconductivity, Ginzburg-Landau system, upper critical field

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 21
Issue: 2