3 papers
math.AP2018
The cubic Schr{ö}dinger regime of the Landau-Lifshitz equation with a strong easy-axis anisotropy
André De Laire, Philippe Gravejat
We pursue our work on the asymptotic regimes of the Landau-Lifshitz equation for bi-axial ferromagnets. We put the focus on the cubic Schr{ö}dinger equation, which is known to desc…
math.AP2018
Traveling waves for some nonlocal 1D Gross-Pitaevskii equations with nonzero conditions at infinity
André de Laire, Pierre Mennuni
We consider a nonlocal family of Gross-Pitaevskii equations with nonzero conditions at infinity in dimension one. We provide conditions on the nonlocal interaction such that there…
math.AP2011
Nonexistence of traveling waves for a nonlocal Gross-Pitaevskii equation
André de Laire
We consider a Gross-Pitaevskii equation with a nonlocal interaction potential. We provide sufficient conditions on the potential such that there exists a range of speeds in which n…