95 citations · 379 across the 28 of their papers we have counts for
28 papers
Equivalence of variational principles to determine the speed of scalar reaction diffusion fronts
R. D. Benguria, M. C. Depassier
The determination of the speed of travelling fronts of the scalar reaction diffusion equation has been the subject of much study. Using different approaches seemingly disconnected…
Upper and lower bounds for the speed of fronts of the reaction diffusion equation with Stefan boundary conditions
R. D. Benguria, M. C. Depassier
We establish two integral variational principles for the spreading speed of the one dimensional reaction diffusion equation with Stefan boundary conditions. The first principle is…
On the speed of domain walls in thin nanotubes: the transition from the linear to the magnonic regime
M. C. Depassier
Numerical simulations of domain wall propagation in thin nanotubes when an external magnetic field is applied along the nanotube axis have shown an unexpected behavior described as…
Domain wall dynamics for an in-plane magnetized thin film with large perpendicular hard axis anisotropy including Dzyaloshinskii-Moriya interaction
E. A. Cardenas, M. C. Depassier
We consider a thin ferromagnetic layer to which an external field or a current are applied along an in plane easy axis. The perpendicular hard axis anisotropy constant is large so…
Variational characterization of the speed of reaction diffusion fronts for gradient dependent diffusion
R. D. Benguria, M. C. Depassier
We study the asymptotic speed of traveling fronts of the scalar reaction diffusion for positive reaction terms and with a diffusion coefficient depending nonlinearly on the concent…
Monotonicity of the period of a non linear oscillator
R. D. Benguria, M. C. Depassier, M. Loss
We revisit the problem of monotonicity of the period function for the differential equation and give a simple proof of recent results of Miyamoto and Yagasaki.