MathsNet: Research Student Directory

Name Wileman, Paul
Group Algebra and Analysis
Room A14, Maths
Telephone +44 (0) 115 [direct dial]
Thesis Title Hydrodynamic limits of Ginzburg-Landau Vortices
Thesis Abstract We use the Ginzburg-Landau model to study the vortex motion in type-II superconductors in the mixed state. There is particular interest in how external current affects the vortex motion and considering the limit of many vortices existing in the system. In a more realistic model we accommodate for impurities in the superconductor which cause pinning. The effect of pinning is to make it energetically favourable for vortices to exist in a certain position in the superconductor. Thus, when considering vortex dynamics, it is of interest to study how pinning forces affect vortex motion and energy dissipation.
School contact information School of Mathematical Sciences
University of Nottingham
University Park
Nottingham, NG7 2RD
Tel: +44 (0) 115 951 4949
Fax: +44 (0) 115 951 4951