EUDML | Trivial constraint variational problem

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Displaying similar documents to “Trivial constraint variational problem”

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Vortex motion and phase-vortex interaction in dissipative Ginzburg-Landau dynamics

F. Bethuel, G. Orlandi, D. Smets (2004)

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We discuss the asymptotics of the parabolic Ginzburg-Landau equation in dimension $N \geq 2 .$ Our only asumption on the initial datum is a natural energy bound. Compared to the case of “well-prepared” initial datum, this induces possible new energy modes which we analyze, and in particular their mutual interaction. The two dimensional case is qualitatively different and requires a separate treatment.