14 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Institut de recherche mathématique de RennesFR7 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- Université de RennesFR4 papers
- École Normale Supérieure de RennesFR3 papers
- Institut national de recherche en sciences et technologies du numériqueFR3 papers
- Centre for Arctic Gas Hydrate, Environment and ClimateNO1 paper
- École Normale Supérieure de LyonFR1 paper
- Institut Universitaire de FranceFR1 paper
- KTH Royal Institute of TechnologySE1 paper
- Laboratoire de Mathématiques Jean LerayFR1 paper
- Laboratoire de Physique de l'ENS de LyonFR1 paper
- Massey UniversityNZ1 paper
11 papers
The aromatic bicomplex for the description of divergence-free aromatic forms and volume-preserving integrators
Adrien Laurent, Robert I. McLachlan, Hans Z. Munthe-Kaas +1
Aromatic B-series were introduced as an extension of standard Butcher-series for the study of volume-preserving integrators. It was proven with their help that the only volume-pres…
The infinitesimal generator of the Brox diffusion
Antoine Mouzard
We construct the infinitesimal generator of the Brox diffusion on a line with a periodic Brownian environment. This gives a new construction of the process and allows to solve the…
Conservative stabilized Runge-Kutta methods for the Vlasov-Fokker-Planck equation
Ibrahim Almuslimani, Nicolas Crouseilles
In this work, we aim at constructing numerical schemes, that are as efficient as possible in terms of cost and conservation of invariants, for the Vlasov--Fokker--Planck system cou…
Majorant series for the -body problem
Mikel Antoñana, Philippe Chartier, Ander Murua
As a follow-up of a previous work of the authors, this work considers {\em uniform global time-renormalization functions} for the {\em gravitational} -body problem. It improves…
Polar decomposition of semigroups generated by non-selfadjoint quadratic differential operators and regularizing effects
Paul Alphonse, Joackim Bernier
We characterize geometrically the regularizing effects of the semigroups generated by accretive non-selfadjoint quadratic differential operators. As a byproduct, we establish the s…
Long time behavior of the solutions of NLW on the d-dimensional torus
Joackim Bernier, Erwan Faou, Benoit Grebert
We consider the non linear wave equation (NLW) on the d-dimensional torus with a smooth nonlinearity of order at least two at the origin. We prove that, for almost any mass, small…
The Boltzmann equation with an external force on the torus: Incompressible Navier-Stokes-Fourier hydrodynamical limit
Marc Briant, Arnaud Debussche, Julien Vovelle
We study the Boltzmann equation with external forces, not necessarily deriving from a potential, in the incompressible Navier-Stokes perturbative regime. On the torus, we establish…
Weak and strong mean-field limits for stochastic Cucker-Smale particle systems
Angelo Rosello
We consider a particle system with a mean-field-type interaction perturbed by some common and individual noises. When the interacting kernels are sublinear and only locally Lipschi…
Nonlinear instability of inhomogeneous steady states solutions to the HMF Model
Mohammed Lemou, Ana Maria Luz, Florian Méhats
In this work we prove the nonlinear instability of inhomogeneous steady states solutions to the Hamiltonian Mean Field (HMF) model. We first study the linear instability of this mo…
Bounds on the growth of high discrete Sobolev norms for the cubic discrete nonlinear Schr{ö}dinger equations on
Joackim Bernier
We consider the discrete nonlinear Schr{ö}dinger equations on a one dimensional lattice of mesh h, with a cubic focusing or defocusing nonlinearity. We prove a polynomial bound on…
An exponential integrator for the drift-kinetic model
Nicolas Crouseilles, Lukas Einkemmer, Martina Prugger
We propose an exponential integrator for the drift-kinetic equation in cylindrical geometry. This approach removes the CFL condition from the linear part of the system (which is of…