Existence and uniqueness for a non-isothermal dynamical Ginzburg–Landau model of superconductivity
✍ Scribed by Valeria Berti; Mauro Fabrizio
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 319 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0895-7177
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## Abstract In this paper, we study a non‐stationary superconductivity model derived from Ginzburg–Landau macroscopic theory. By using gauge invariance and studying a linear problem with curl boundary conditions, we obtain the existence of solutions. The solution is unique in the sense of gauge equ
Communicated by J. R. Ockendon Abstract--We study an initial boundary value problem for a time-dependent 3-D Ginzburg-Landau model of superconductivity. We prove the existence of global weak solutions with L 2 initial data and, hence, solve an open problem mentioned in [1]. (~) 2003 Elsevier Science