Soluções de vórtice das equações de Ginzburg-Landau
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Data
2014-12-01
Autores
Galkina, Olesya
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Universidade Federal do Espírito Santo
Resumo
In this work we study a theorem of C.H. Taubes concerning vortex solution to the Ginzburg-Landau equations, which describe superconductivity. To prove the theorem we need to show the existence of a solution to a non-linear elliptic partial di erential equation of second order. To obtain the existence of solution we study a non-linear functional de ned on an appropriate Sobolev space. We also include two auxiliary chapters concerning complex line bundles and analytical preliminaries.
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Superconductivity , Elliptic diferential equations , Bundle spaces , Ginzburg-Landau equations , Ginzburg-Landau, Equações de