Compactness Results for Ginzburg-landau Type Functionals with General Potentials

Self duality equations for Ginzburg-Landau and Seiberg-Witten type functionals with 6th order potentials

Exact solutions of the 2D Ginzburg-Landau equation by the first integral method

The first integral method is an efficient method for obtaining exact solutions of some nonlinear partial differential equations. This method can be applied to non integrable equations as well as to integrable ones. In this paper, the first integral method is used to construct exact solutions of the 2D Ginzburg-Landau equation.

Abstracts of courses

s of courses Giovanni ALBERTI “Concentration phenomena for functionals of Ginzburg-Landau type. A variational approach” In these lectures I will describe an approach by Γ-convergence to certain concentration phenomena for minimizers of functionals of Ginzburg-Landau type, as developped in [ABO2] and [JS]. Consider the functionals

Some new exact traveling wave solutions one dimensional modified complex Ginzburg- Landau equation

‎In this paper‎, ‎we obtain exact solutions involving parameters of some nonlinear PDEs in mathmatical physics; namely the one-‎dimensional modified complex Ginzburg-Landau equation by using the $ (G'/G) $ expansion method‎, homogeneous balance method, extended F-expansion method‎. ‎By ‎using homogeneous balance principle and the extended F-expansion, more periodic wave solutions expressed by j...

Γ-convergence of Graph Ginzburg–landau Functionals

We study Γ-convergence of graph-based Ginzburg–Landau functionals, both the limit for zero diffusive interface parameter ε → 0 and the limit for infinite nodes in the graph m→∞. For general graphs we prove that in the limit ε → 0 the graph cut objective function is recovered. We show that the continuum limit of this objective function on 4-regular graphs is related to the total variation semino...