12 citations · 16 across the 4 of their papers we have counts for
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Self-similar shrinkers of the one-dimensional Landau-Lifshitz-Gilbert equation
Susana Gutiérrez, André de Laire
The main purpose of this paper is the analytical study of self-shrinker solutions of the one-dimensional Landau-Lifshitz-Gilbert equation (LLG), a model describing the dynamics for…
The Cauchy problem for the Landau-Lifshitz-Gilbert equation in BMO and self-similar solutions
Susana Gutiérrez, André de Laire
We prove a global well-posedness result for the Landau-Lifshitz equation with Gilbert damping provided that the BMO semi-norm of the initial data is small. As a consequence, we ded…
Self-similar solutions of the one-dimensional Landau-Lifshitz-Gilbert equation
Susana Gutiérrez, André de Laire
We consider the one-dimensional Landau-Lifshitz-Gilbert (LLG) equation, a model describing the dynamics for the spin in ferromagnetic materials. Our main aim is the analytical stud…
Global existence for a kinetic model of chemotaxis via dispersion and Strichartz estimates
Nikolaos Bournaveas, Vincent Calvez, Susana Gutiérrez +1
We investigate further the existence of solutions to kinetic models of chemotaxis. These are nonlinear transport-scattering equations with a quadratic nonlinearity which have been…