RT Journal Article T1 Cauchy problem for the time-dependent Ginzburg-Landau model of superconductivity A1 Rodríguez Bernal, Aníbal A1 Wang, Bixiang AB The Cauchy problem for the time-dependent Ginzburg-Landau equations of superconductivity in R-d (d = 2, 3) is investigated in this paper. When d = 2, we show that the Cauchy problem for this model is well posed in L-2. When d = 3, we establish the existence result of solutions for L-3 initial data and the uniqueness result for L-4 initial data. PB Cambridge University Press SN 0308-2105 YR 2000 FD 2000 LK https://hdl.handle.net/20.500.14352/57919 UL https://hdl.handle.net/20.500.14352/57919 LA eng NO DGES NO Ministerio de Educación y cultura DS Docta Complutense RD 11 abr 2025