[图书][B] Bound states of the magnetic Schrödinger operator

N Raymond - 2017 - ems.press
This book is a synthesis of recent advances in the spectral theory of the magnetic
Schrödinger operator. It can be considered a catalog of concrete examples of magnetic …

Thin-film limit of the Ginzburg–Landau heat flow in a curved thin domain

TH Miura - Journal of Differential Equations, 2025 - Elsevier
Abstract We consider the Ginzburg–Landau heat flow in a curved thin domain under the
Naumann boundary condition. When the curved thin domain shrinks to a given closed …

From the Laplacian with variable magnetic field to the electric Laplacian in the semiclassical limit

N Raymond - Analysis & PDE, 2013 - msp.org
From the Laplacian with variable magnetic field to the electric Laplacian in the semiclassical
limit Page 1 ANALYSIS & PDE msp Volume 6 No. 6 2013 NICOLAS RAYMOND FROM THE …

On the first critical field in Ginzburg–Landau theory for thin shells and manifolds

A Contreras - Archive for rational mechanics and analysis, 2011 - Springer
In this article, we investigate the response of a thin superconducting shell to an arbitrary
external magnetic field. We identify the intensity of the applied field that forces the …

Universal and shape dependent features of surface superconductivity

M Correggi, B Devanarayanan, N Rougerie - The European Physical …, 2017 - Springer
We analyze the response of a type II superconducting wire to an external magnetic field
parallel to it in the framework of Ginzburg–Landau theory. We focus on the surface …

Γ-Convergence of 2D Ginzburg-Landau functionals with vortex concentration along curves

S Alama, L Bronsard, V Millot - Journal d'Analyse Mathématique, 2011 - Springer
We study the variational convergence of a family of twodimensional Ginzburg-Landau
functionals arising in the study of superfluidity or thin-film superconductivity as the Ginzburg …

Thin-film limits of functionals on 𝒜-free vector fields

C Kreisbeck, F Rindler - Indiana University Mathematics Journal, 2015 - JSTOR
This paper deals with variational principles on thin films subject to linear PDE constraints
represented by a constant-rank operator 𝒜. We study the effective behavior of integral …

Little magnetic book

N Raymond - arXiv preprint arXiv:1405.7912, 2014 - arxiv.org
Little Magnetic Book Nicolas Raymond1 arXiv:1405.7912v2 [math-ph] 1 Aug 2015 Page 1
Little Magnetic Book Geometry and Bound States of the Magnetic Schrödinger Operator …

La théorie de Gross-Pitaevskii pour un condensat de Bose-Einstein en rotation: vortex et transitions de phase

N Rougerie - 2010 - theses.hal.science
Lorsqu'un gaz de bosons est suffisament refroidi, une transition de phase apparaît: toutes
les particules se concentrent dans le m^ eme état d'énergie. On appelle l'objet résultant de …

Dimension reduction for functionals on solenoidal vector fields

S Krömer - ESAIM: Control, Optimisation and Calculus of …, 2012 - cambridge.org
We study integral functionals constrained to divergence-free vector fields in Lp on a thin
domain, under standard p-growth and coercivity assumptions, 1< p<∞. We prove that as the …