Existence and uniform boundedness of strong solutions of the time-dependent Ginzburg-Landau equations of superconductivity
Zaouch, Fouzi
Abstr. Appl. Anal., Tome 2005 (2005) no. 2, p. 863-887 / Harvested from Project Euclid
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The time-dependent Ginzburg-Landau equations of superconductivity with a time-dependent magnetic field $\mathbf{H}$ are discussed. We prove existence and uniqueness of weak and strong solutions with $H^1$ -initial data. The result is obtained under the “ $\phi =-\omega(\nabla\cdot\mathbf{A})$ ” gauge with $\omega\gt0$ . These solutions generate a dynamical process and are uniformly bounded in time.
Publié le : 2005-10-16
Classification:  
@article{1135272159,
     author = {Zaouch, Fouzi},
     title = {Existence and uniform boundedness of strong solutions of
the time-dependent Ginzburg-Landau equations of superconductivity},
     journal = {Abstr. Appl. Anal.},
     volume = {2005},
     number = {2},
     year = {2005},
     pages = { 863-887},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1135272159}
}

Zaouch, Fouzi. Existence and uniform boundedness of strong solutions of
the time-dependent Ginzburg-Landau equations of superconductivity. Abstr. Appl. Anal., Tome 2005 (2005) no. 2, pp.  863-887. http://gdmltest.u-ga.fr/item/1135272159/