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oai:docta.ucm.es:20.500.14352/579192023-08-25T20:44:40Zcom_20.500.14352_14col_20.500.14352_15

Cauchy problem for the time-dependent Ginzburg-Landau model of superconductivity Rodríguez Bernal, Aníbal Wang, Bixiang 517.986 Ginzburg-Landau equations Superconductivity Existence Uniqueness Weak-kappa-limit Funciones (Matemáticas) 1202 Análisis y Análisis Funcional 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. DGES Ministerio de Educación y cultura Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T17:11:33Z 2023-06-20T17:11:33Z 2000 journal article https://hdl.handle.net/20.500.14352/57919 0308-2105 10.1017/S0308210500000731 eng PB96-0648 restricted access application/pdf Cambridge University Press