MEPHYSTO - 2019 - Annual activity report

MEPHYSTO

MEPHYSTO - 2019

Team Mephysto

Team, Visitors, External Collaborators

Overall Objectives

Research Program

Time asymptotics: Stationary states, solitons, and stability issues
Derivation of macroscopic laws from microscopic dynamics
Numerical methods: analysis and simulations

Highlights of the Year

New Results

Traveling waves for some nonlocal 1D Gross-Pitaevskii equations with nonzero conditions at infinity
Numerical simulation of traveling waves for some nonlocal Gross-Pitaevskii equations with nonzero conditions at infinity in dimensions 1 and 2
The cubic Schrödinger regime of the Landau-Lifshitz equation with a strong easy-axis anisotropy
The Cauchy problem for the Landau–Lifshitz–Gilbert equation in BMO and self-similar solutions
Microscopic derivation of moving interfaces problems
Towards the weak KPE universality conjecture
Joule effect in chains of oscillators
Quantum optics
Orbital stability
Exponential time-decay for discrete Fokker–Planck equations
Energy preserving methods for nonlinear Schrödinger equations
High order linearly implicit methods for evolution problems
CLT for Circular beta-Ensembles at High Temperature
DLR equations and rigidity for the Sine- $β$ process

Partnerships and Cooperations

National Initiatives
European Initiatives

Dissemination

Promoting Scientific Activities
Teaching - Supervision - Juries
Popularization

Bibliography

Major publications
Publications of the year
References in notes

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Creation of the Team: 2017 October 01

Section: Team, Visitors, External Collaborators

Research Scientists

Guillaume Dujardin [Team leader, Inria, Researcher, HDR]

Marielle Simon [Inria, Researcher]

Faculty Members

Stephan de Bièvre [Université de Lille, Professor, HDR]

André de Laire [Université de Lille, Associate Professor]

Adrien Hardy [Université de Lille, Associate Professor]

Michele Triestino [Université de Bourgogne, Associate Professor, until Feb 2019]

PhD Students

Pierre Mennuni [Université de Lille, PhD Student, until Sep 2019]

Anthony Nahas [Université de Lille, PhD Student, from Oct 2019]

Technical staff

Alexandre Roget [Inria, Engineer, from Nov 2019]

Administrative Assistant

Karine Lewandowski [Inria]

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