NCTS(South)/ NCKU Math Colloquium | |
| DATE | 2011-02-24¡@16:10-17:00 |
| PLACE | R204, 2F, NCTS, NCKU |
| SPEAKER | Dr Tien-Tsan Shieh¡]€€¬ã°|¡^ |
| TITLE | The onset problem of superconductivity |
| ABSTRACT | In the talk, I will give a survey of the onset problem of superconductivity. In particular, a rigorous analysis of the eigenvalue problem associated with the onset of superconductivity for a thin domain in the presence of a large applied magnetic field will be discussed. The validity of the formal asymptotic result of Richardson and Rubinstein revealing that in the double limit of thin domain and large field, the appropriate Rayleigh quotient differs from the standard one for order 1 applied fields through the addition of a potential depending on the field. This addition potential yields a parabolic background for the oscillatory phase transition curve between the normal and superconducting states. |