Zobrazeno 1 - 10
of 114
pro vyhledávání: '"Gravejat, P."'
Publikováno v:
Tunisian J. Math. 6 (2024) 157-188
As a sequel to our previous analysis in [9] arXiv:2202.09411 on the Gross-Pitaevskii equation on the product space $\mathbb{R} \times \mathbb{T}$, we construct a branch of finite energy travelling waves as minimizers of the Ginzburg-Landau energy at
Externí odkaz:
http://arxiv.org/abs/2307.06015
We study the Gross-Pitaevskii equation in dimension two with periodic conditions in one direction, or equivalently on the product space $\mathbb{R} \times \mathbb{T}_L$ where $L > 0$ and $\mathbb{T}_L = \mathbb{R} / L \mathbb{Z}.$ We focus on the var
Externí odkaz:
http://arxiv.org/abs/2202.09411
We introduce a functional framework taylored to investigate the minimality and stability properties of the Ginzburg-Landau vortex of degree one on the whole plane. We prove that a renormalized Ginzburg-Landau energy is well-defined in that framework
Externí odkaz:
http://arxiv.org/abs/2106.02511
We provide a variational construction of special solutions to the generalized surface quasi-geostrophic equations. These solutions take the form of N vortex patches with N-fold symmetry , which are steady in a uniformly rotating frame. Moreover, we i
Externí odkaz:
http://arxiv.org/abs/2010.08194
Autor:
De Laire, André, Gravejat, Philippe
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{\"o}dinger equation, which is known to describe the dynamics in a regime of strong easy-axis anisotropy. In any
Externí odkaz:
http://arxiv.org/abs/1812.05854
Autor:
de Laire, André, Gravejat, Philippe
It is well-known that the dynamics of biaxial ferromagnets with a strong easy-plane anisotropy is essentially governed by the Sine-Gordon equation. In this paper, we provide a rigorous justification to this observation. More precisely, we show the co
Externí odkaz:
http://arxiv.org/abs/1705.08146
Autor:
Gravejat, Philippe, Smets, Didier
We construct families of smooth travelling-wave solutions to the inviscid surface quasi-geostrophic equation (SQG). These solutions can be viewed as the equivalents for this equation of the vortex anti-vortex pairs in the context of the incompressibl
Externí odkaz:
http://arxiv.org/abs/1705.06935
Publikováno v:
J. Math. Pures Appl. 117 (2018), pp. 59--93
In quantum field theory, the vacuum is a fluctuating medium which behaves as a nonlinear polarizable material. In this article, we perform the first rigorous derivation of the magnetic Euler-Heisenberg effective energy, a nonlinear functional that de
Externí odkaz:
http://arxiv.org/abs/1602.04047
We pursue our work on the dynamical stability of dark solitons for the one-dimensional Gross-Pitaevskii equation. In this paper, we prove their asymptotic stability under small perturbations in the energy space. In particular, our results do not requ
Externí odkaz:
http://arxiv.org/abs/1212.5027
Publikováno v:
Days on PDEs 2012, Biarritz : France (2012)
We review recent results about the derivation and the analysis of two Hartree-Fock-type models for the polarization of vacuum. We pay particular attention to the variational construction of a self-consistent polarized vacuum, and to the physical agre
Externí odkaz:
http://arxiv.org/abs/1209.6338