Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Monteil, Antonin"'
Publikováno v:
Commun. Math. Phys. 404, 1571-1605 (2023)
We present a variational treatment of confined magnetic skyrmions in a minimal micromagnetic model of ultrathin ferromagnetic films with interfacial Dzylashinksii-Moriya interaction (DMI) in competition with the exchange energy, with a possible addit
Externí odkaz:
http://arxiv.org/abs/2208.00058
Autor:
Monteil, Antonin, Pegon, Paul
Publikováno v:
Journal de l'\'Ecole polytechnique - Math\'ematiques, Tome 11 (2024), pp. 431-472
We consider first order local minimization problems of the form $\min \int_{\mathbb{R}^N}f(u,\nabla u)$ under a mass constraint $\int_{\mathbb{R}^N}u=m$. We prove that the minimal energy function $H(m)$ is always concave, and that relevant rescalings
Externí odkaz:
http://arxiv.org/abs/2203.01250
We consider $\mathbb{S}^2$-valued maps on a domain $\Omega\subset\mathbb{R}^N$ minimizing a perturbation of the Dirichlet energy with vertical penalization in $\Omega$ and horizontal penalization on $\partial\Omega$. We first show the global minimali
Externí odkaz:
http://arxiv.org/abs/2106.15830
Publikováno v:
Arch. Rat. Mech. Anal. 242 (2021), n. 2, 875-935
We study the asymptotic behaviour, as a small parameter $\varepsilon$ tends to zero, of minimisers of a Ginzburg-Landau type energy with a nonlinear penalisation potential vanishing on a compact submanifold $\mathcal{N}$ and with a given $\mathcal{N}
Externí odkaz:
http://arxiv.org/abs/2008.13512
Publikováno v:
Math. Annal. 383 (2022), 1061-1125
We define renormalised energies for maps that describe the first-order asymptotics of harmonic maps outside of singularities arising due to obstructions generated by the boundary data and the mutliple connectedness of the target manifold. The constru
Externí odkaz:
http://arxiv.org/abs/2006.14823
Autor:
Ignat, Radu, Monteil, Antonin
Given a bounded Lipschitz domain $\omega\subset\mathbb{R}^{d-1}$ and a lower semicontinuous function $W:\mathbb{R}^N\to\mathbb{R}_+\cup\{+\infty\}$ that vanishes on a finite set and that is bounded from below by a positive constant at infinity, we sh
Externí odkaz:
http://arxiv.org/abs/1905.11162
Autor:
Ignat, Radu, Monteil, Antonin
We study the one-dimensional symmetry of solutions to the nonlinear Stokes equation $$ \begin{cases} -\Delta u+\nabla W(u)=\nabla p&\text{in }\mathbb{R}^d,\\ \nabla\cdot u=0&\text{in }\mathbb{R}^d, \end{cases} $$ which are periodic in the $d-1$ last
Externí odkaz:
http://arxiv.org/abs/1804.07502
Autor:
Monteil, Antonin
Cette thèse est consacrée à l’étude de certains problèmes variationnels de type transition de phase vectorielle ou "phase-field" qui font intervenir une contrainte de divergence. Ces modèles sont généralement basés sur une énerg
Externí odkaz:
http://www.theses.fr/2015SACLS135/document
Publikováno v:
Ann. Inst. H. Poincar\'e Anal. Non Lin\'eaire 36 (2019), n. 2, 417-449
Given a connected Riemannian manifold $\mathcal{N}$, an \(m\)--dimensional Riemannian manifold $\mathcal{M}$ which is either compact or the Euclidean space, $p\in [1, +\infty)$ and $s\in (0,1]$, we establish, for the problems of surjectivity of the t
Externí odkaz:
http://arxiv.org/abs/1709.08565
We consider the minimal action problem min \int\_R 1/2 |$\gamma$'|^2 + W($\gamma$) dt among curves lying in a non-locally-compact metric space and connecting two given zeros of W $\ge$ 0. For this problem, the optimal curves are usually called hetero
Externí odkaz:
http://arxiv.org/abs/1709.02117