4 papers
Optimal relaxation to a planar interface in the Mullins-Sekerka problem
Olga Chugreeva, Felix Otto, Maria G. Westdickenberg
We analyze the convergence rates to a planar interface in the Mullins-Sekerka model by applying a relaxation method based on relationships among distance, energy, and dissipation.…
Strong solvability of regularized stochastic Landau-Lifshitz-Gilbert equation
Olga Chugreeva, Christof Melcher
We examine a stochastic Landau-Lifshitz-Gilbert equation based on an exchange energy functional containing second-order derivatives of the unknown field. Such regularizations are f…
Vortices in a Stochastic Parabolic Ginzburg-Landau Equation
Olga Chugreeva, Christof Melcher
We consider the variant of a stochastic parabolic Ginzburg-Landau equation that allows for the formation of point defects of the solution. The noise in the equation is multiplicati…
Motion of the Ginzburg-Landau vortices for the mixed flow with convective forcing
Olga Chugreeva
We consider the mixed Ginzburg-Landau flow that is supplemented with convective derivatives of the unknown function. We show that the associated vortex motion law is the mixed flow…