We take a model for Ferromagnetic Superconductors based on a variational
energy functional, and search for radially symmetric minimizers. First we define
what it means for a solution to the Euler-Lagrange equations to be admissible,
before relating these admissible solutions to an appropriate function space. We
then use a variational approach to prove the existence of minimizers. Since it is
not clear at first whether or not the energy is bounded below, the direct method
of the calculus of variations does not apply. Instead, we first prove existence in
a case where the energy is bounded below, namely when the Zeeman coupling
constant g vanishes. We then use the implicit function theorem to prove the
existence of physically relevant minimizers for small values of g. / Thesis / Master of Science (MSc)
| Identifer | oai:union.ndltd.org:mcmaster.ca/oai:macsphere.mcmaster.ca:11375/17472 |
| Date | January 2015 |
| Creators | Meadows, Tyler |
| Contributors | Alama, Stanley, Mathematics |
| Source Sets | McMaster University |
| Language | English |
| Detected Language | English |
| Type | Thesis |
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