Abstract
We prove the uniqueness for weak solutions of the time-dependent Ginzburg-Landau model for superconductivity with L 2 initial data in the case of Coulomb gauge under the regularity hypothesis on the solutions that ψ, A ∈ C([0, T]; L 3). We also prove the uniqueness of the 3-D radially symmetric solution with the choice of Lorentz gauge and L 2 initial data.
| Original language | English |
|---|---|
| Pages (from-to) | 1095-1104 |
| Number of pages | 10 |
| Journal | International Journal of Mathematical Analysis |
| Volume | 6 |
| Issue number | 21-24 |
| Publication status | Published - 2012 Aug 22 |
Keywords
- Coulomb gauge
- Ginzburg-landau model
- Lorentz gauge
- Superconductivity
- Uniqueness
ASJC Scopus subject areas
- Mathematics(all)