Abstract
In this chapter, we establish which solutions, among the ones found in Theorem 11.1, minimize the energy globally. This of course depends on the value hex. As hex increases, we will see that the minimizers have one, then two, then more and more vortices, as predicted by the physics. This allows us to give precise expansions of the critical fields.
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© 2007 Birkhäuser Boston
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(2007). Back to Global Minimization. In: Vortices in the Magnetic Ginzburg-Landau Model. Progress in Nonlinear Differential Equations and Their Applications, vol 70. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4550-2_12
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DOI: https://doi.org/10.1007/978-0-8176-4550-2_12
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4316-4
Online ISBN: 978-0-8176-4550-2
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