Project
Team
Ipso

Scientific Foundations

Application Domains

New Results

- Asymptotic preserving schemes
- Resolution of the quasi-neutrality equation
- High order schemes for Vlasov-Poisson system
- Second order averaging for the nonlinear Schrödinger equation with strong anisotropic potential
- A problem of moment realizability in quantum statistical physics
- Orbital stability of spherical galactic models
- The Schrödinger Poisson system on the sphere
- A boundary matching micro-macro decomposition for kinetic equations
- 1D quintic nonlinear equation with white noise dispersion
- Weak approximation of stochastic partial differential equations: the nonlinear case
- Ergodic BSDEs under weak dissipative assumptions
- Asymptotic first exit times of the Chafee-Infante equation with small heavy tailed noise
- Stochastic Cahn-Hilliard equation with double singular nonlinearities and two reflections
- Diffusion limit for a stochastic kinetic problem
- Convergence of stochastic gene networks to hybrid piecewise deterministic processes
- Exponential mixing of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noise
- Ergodicity results for the stochastic Navier-Stokes equations: an introduction
- Local Martingale and Pathwise Solutions for an Abstract Fluids Model
- Geometric numerical integration and Schrödinger equations
- On the influence of the geometry on skin effect in electromagnetism
- Reconciling alternate methods for the determination of charge distributions: A probabilistic approach to high-dimensional least-squares approximations
- Hamiltonian interpolation of splitting approximations for nonlinear PDEs
- Energy cascades for NLS on the torus
- A Nekhoroshev type theorem for the nonlinear Schrödinger equation on the d-dimensional torus
- Sobolev stability of plane wave solutions to the cubic nonlinear Schrödinger equation on a torus
- Approximate travelling wave solutions to the 2D Euler equation on the torus
- Markov chains competing for transitions : applications to large-scale distributed systems
- Analysis of a large number of Markov chains competing for transitions
- Splitting methods with complex coefficients for some classes of evolution equations
- Higher-order averaging, formal series and numerical integration

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Partnerships and Cooperations

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Bibliography