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- W2009249529 abstract "Abstract We prove a new inequality for the Jacobian (or vorticity) associated to the Ginzburg–Landau energy in any dimension, and give static and dynamical corollaries. We then present a method to prove convergence of gradient-flows of families of energies which Gamma-converge to a limiting energy, which we apply to establish, thanks to the previous dynamical estimate, the limiting dynamical law of a finite number of vortices for the heat-flow of Ginzburg–Landau in dimension 2, with and without magnetic field. To cite this article: E. Sandier, S. Serfaty, C. R. Acad. Sci. Paris, Ser. I 336 (2003)." @default.
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- W2009249529 date "2003-06-01" @default.
- W2009249529 modified "2023-09-30" @default.
- W2009249529 title "A product estimate for Ginzburg–Landau and application to the gradient-flow" @default.
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- W2009249529 doi "https://doi.org/10.1016/s1631-073x(03)00224-3" @default.
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