Publications
- Non-existence
for travelling waves with small energy for the Gross–Pitaevskii
equation in dimension N
3. C. R. Acad. Sci. Paris, Ser. I, 347,
2009, 375-380. (preprint/link)
- Global
well-posedness for a nonlocal Gross-Pitaevskii equation with
non-zero condition at infinity. Communications
in Partial Differential Equations. 35(11):2021-2058, 2010. (preprint/link)
- Nonexistence
of traveling waves for a nonlocal Gross-Pitaevskii equation. Indiana University Mathematics Journal. 61(4), 1451-1484, 2012. (preprint/link)
- (with Patricio Felmer, Salomé Martinez
and Kazunaga Tanaka) High
energy rotation type solutions of the forced pendulum equation.
Nonlinearity. 26(5):1473-1499, 2013. (link)
- Minimal
energy for the traveling waves of the Landau-Lifshitz equation.
SIAM Journal on Mathematical Analysis. 46(1):96-132, 2014. (preprint/link)
- (with Philippe Gravejat) Stability in the energy space for chains of
solitons of the Landau-Lifshitz equation. Journal of Differential
Equations. 258(1):1-80, 2015. (preprint/link)
- (with Susana Gutiérrez) Self-similar solutions of the
one-dimensional Landau-Lifshitz-Gilbert equation. Nonlinearity.
28(5), 1307-1350, 2015. (preprint/link)
- (with Philippe Gravejat) The Sine-Gordon regime of the
Landau-Lifshitz equation with a strong easy-plane anisotropy. Ann. Inst. H.
Poincaré Anal. Non linéaire. 35(7), 1885 - 1945, 2018.
(preprint /link)
- (with Susana Gutiérrez) The Cauchy problem for the Landau-Lifshitz-Gilbert equation in BMO and self-similar solutions. Nonlinearity 32(7), 2522-2563.
(preprint / link)
- (with Philippe Gravejat) The cubic Schrodinger equation regime of
the
Landau-Lifshitz equation with a strong easy-axis anisotropy. To appear in Revista Matemática Iberoamericana (preprint)
- (with Pierre Mennuni) Traveling waves for some nonlocal 1D Gross-Pitaevskii
equations with
nonzero conditions at infinity.
Discrete and Continuous Dynamical Systems 40(1), 635-682, 2020. (preprint /lien)
- (with Susana Gutiérrez) Self-similar
shrinkers of the
one-dimensional Landau-Lifshitz-Gilbert equation
Proceedings and reviews
- (with Philippe Gravejat) Stabilité des solitons de l'équation de
Landau-Lifshitz à anisotropie planaire. Séminaire Laurent
Schwartz - EDP et applications 2014-2015, Exp. No 17. (preprint/link)