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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2019 Team Activity Report

MEPHYSTO

Quantitative methods for stochastic models in physics

Inria teams are typically groups of researchers working on the definition of a common project, and objectives, with the goal to arrive at the creation of a project-team. Such project-teams may include other partners (universities or research institutions).

Research centre: Lille - Nord Europe

Field: Applied Mathematics, Computation and Simulation

Theme: Numerical schemes and simulations

Keywords:

Computer Science and Digital Science:

A6.1.1. - Continuous Modeling (PDE, ODE)
A6.1.2. - Stochastic Modeling
A6.1.4. - Multiscale modeling
A6.2.1. - Numerical analysis of PDE and ODE

Other Research Topics and Application Domains:

B9.5.2. - Mathematics