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- W2612397811 abstract "Our work focus on the elliptic partial differential Equations arising from the mathematical physics, especially from the superconductivity. Therefore most of our work is on the Ginzburg-Landau model, which is a macroscopic model for the type-II superconductors. The work is divided into two big parts : this first part is on the vortices analysis of the Ginzburg-Landau model of Type-II superconductors in 2 dimensions, including the variations of the number of vortices and optimality of Abrikosov lattices among Bravais Lattices. We also have done some work related to the material structure, for example, the Lennard-Jones model and the Thomas-Fermi model. This second part is on the Ginzburg-Landau functional in n-dimensional case. Two main results are contained in this part: One is on the renormalized energy for minimizer of n-dimensional Ginzburg-Landau functional; The other one is on the limits of solutions to Ginzburg-Landau equations in n dimension. Both of these two results are closely related to the p-harmonic maps" @default.
- W2612397811 created "2017-05-19" @default.
- W2612397811 creator A5029360035 @default.
- W2612397811 date "2014-12-05" @default.
- W2612397811 modified "2023-09-23" @default.
- W2612397811 title "Elliptical systems related to superconductor model" @default.
- W2612397811 hasPublicationYear "2014" @default.
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