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14 papers · 2 filters
Asymmetric domain walls of small angle in soft ferromagnetic films
Lukas Döring, Radu Ignat
We focus on a special type of domain walls appearing in the Landau-Lifshitz theory for soft ferromagnetic films. These domain walls are divergence-free -valued transition laye…
On damped second-order gradient systems
Mohamed Ali Jendoubi, Pascal Bégout, Jérôme Bolte +1
Using small deformations of the total energy, as introduced in [31], we establish that damped second order gradient systems ma…
Uniform dynamics for Fisher-KPP propagation driven by a line of fast diffusion under a singular limit
Antoine Pauthier
The purpose of this paper is to understand the links between a model introduced in 2012 by H. Berestycki, J.-M. Roquejofre and L. Rossi and a nonlocal model studied by the author i…
Velocity enhancement of reaction-diffusion fronts by a line of fast diffusion
Laurent Dietrich
We study the velocity of travelling waves of a reaction-diffusion system coupling a standard reaction-diffusion equation in a strip with a one-dimensional diffusion equation on a l…
Self-similarity in a thin film Muskat problem
Philippe Laurencot, Bogdan-Vasile Matioc
The large time behavior of non-negative weak solutions to a thin film approximation of the two-phase Muskat problem is studied. A classification of self-similar solutions is first…
A variational approach to a stationary free boundary problem modeling MEMS
Philippe Laurencot, Christoph Walker
A variational approach is employed to find stationary solutions to a free boundary problem modeling an idealized electrostatically actuated MEMS device made of an elastic plate coa…