Titlebook: Linear and Nonlinear Aspects of Vortices; The Ginzburg-andau M Frank Pacard,Tristan Rivière Book 2000 Springer Science+Business Media New Y

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Families of Approximate Solutions with Prescribed Zero Set,nding to the zero set of our solutions, are critical points of the renormalized energy .. defined in (1.10). Finally, we derive some estimates which, in some sense, measure how close our approximate solution is from a true solution.

legacy

Existence of Ginzburg-Landau Vortices,by . and which is close to the approximate solution ? constructed in Chapter 5. To obtain this branch of solutions, we rephrase our problem as a fixed point problem. As a simple corollary of our construction, we will obtain a local uniqueness result for the solution of the Ginzburg-Landau equation.

TEM

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Book 2000perconductors, superfluids, and liquid crystals.? Building on the results presented by Bethuel, Brazis, and Helein, this current work further analyzes Ginzburg-Landau vortices with a particular emphasis on the uniqueness question. .The authors begin with a general presentation of the theory and then

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