Soluções de vórtice das equações de Ginzburg-Landau
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 existenc...
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| Tipo de recurso: | tesis de maestría |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | Brasil |
| Institución: | Universidade Federal do Espírito Santo (UFES) |
| Repositorio: | Repositório Institucional da Universidade Federal do Espírito Santo (riUfes) |
| Idioma: | portugués |
| OAI Identifier: | oai:repositorio.ufes.br:10/7508 |
| Acceso en línea: | http://repositorio.ufes.br/handle/10/7508 |
| Access Level: | acceso abierto |
| Palabra clave: | Superconductivity Elliptic diferential equations Bundle spaces Ginzburg-Landau equations Ginzburg-Landau, Equações de Supercondutividade Equações diferenciais elípticas Espaços fibrados (Matemática) Matemática 51 |
| Sumario: | 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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