143 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Université de Bretagne OccidentaleFR153 papers
- Université de Bretagne SudFR111 papers
- Centre National de la Recherche ScientifiqueFR84 papers
- Institut de recherche mathématique de RennesFR14 papers
- Laboratoire des Sciences et Techniques de l’Information de la Communication et de la ConnaissanceFR11 papers
- Shandong UniversityCN11 papers
- Université Paris CitéFR11 papers
- Utah State UniversityUS11 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR10 papers
- Mathématiques Appliquées à Paris 5FR10 papers
- IMT AtlantiqueFR9 papers
- Lyon 1 UniversitéFR9 papers
21 papers · 1 filter
Semi-explicit entropic solution to a generalised Riemann problem in some hydrological context
Brice Franke, Majid Lagnaoui, Catherine Rainer
We discuss solutions of the one dimensional scalar conservation law with the flux function $y\longmapsto G_{c,ρ}\left(y\right)=((1-ρ)c-y)\mathbb{1}_{\{y>c\}}-ρy\mathbb{1}_{\{y\leqs…
Orr-Sommerfeld equation and complex deformation
Malo Jézéquel, Jian Wang
For shear flows in a 2D channel, we define resonances near regular values of the shear profile for the Rayleigh equation under an analyticity assumption. This is done via complex d…
Comparison Between Effective and Individual Growth Rates in a Heterogeneous Population
Marie Doumic, Anaïs Rat, Magali Tournus
Is there an advantage to heterogeneity in a population where individuals grow and divide by fission? This is a broad question, to which there is no easy universal answer. This arti…
Non-local quasilinear singular SPDEs
I. Bailleul, H. Eulry
We study in this short note a counterpart to the quasilinear generalized parabolic Anderson model (gPAM) on the 2-dimensional torus where the coefficients are nonlocal functionals…
From transient elastic linkages to friction: a complete study of a penalized fourth order equation with delay
Vuk Milisic, Philippe Souplet
In this paper we consider a fourth order nonlinear parabolic delayed problem modelling a quasi-instantaneous turn-over of linkages in the context of cell-motility. The model depend…
Global harmonic analysis for on closed Riemannian manifolds
I. Bailleul, N. V. Dang, L. Ferdinand +1
Following Parisi \& Wu's paradigm of stochastic quantization, we constructed in \cite{BDFT} a measure on an arbitrary closed, compact Riemannian manifold of dimension as…
Upper bound on the number of resonances for even asymptotically hyperbolic manifolds with real-analytic ends
Malo Jézéquel
We prove a polynomial upper bound on the number of resonances in a disc whose radius tends to infinity for even asymptotically hyperbolic manifolds with real-analytic ends. Our ana…
Variational methods for some singular stochastic elliptic PDEs
I. Bailleul, H. Eulry, T. Robert
We use some tools from nonlinear analysis to study two examples of singular stochastic elliptic PDEs that cannot be solved by the contraction principle or the Schauder fixed point…
Locality for singular stochastic PDEs
I. Bailleul, Y. Bruned
This work deals with singular stochastic PDEs driven by non-translation invariant differential operators. We describe the renormalized equation for a very large class of spacetime…
A tourist's guide to regularity structures and singular stochastic PDEs
I. Bailleul, M. Hoshino
We give an essentially self-contained treatment of the fundamental analytic and algebraic features of regularity structures and its applications to the study of singular stochastic…
Asymptotic Stability of Minkowski Space-Time with non-compactly supported massless Vlasov matter
Léo Bigorgne, David Fajman, Jérémie Joudioux +2
We prove the global asymptotic stability of the Minkowski space for the massless Einstein-Vlasov system in wave coordinates. In contrast with previous work on the subject, no compa…
Decay of Maxwell Fields on Reissner-Nordstrøm-de Sitter Black Holes
Mokdad Mokdad
In this paper we use Morawetz estimates with geometric energy estimates -the so-called vector field method- to prove decay results for the Maxwell field in the static exterior regi…
A PDE-like Toy-Model of Territory Working
Emmanuel Frenod
This note introduces a PDE-like Toy-Model that embeds several aspects of Territory Working. The long term goal is to build a software tool that behaves like a Territory, and in par…
Equivariant mean field flow
Jean-Baptiste Castéras
We consider a gradient flow associated to the mean field equation on a compact riemanniann surface without boundary. We prove that this flow exists for all time. Moreover,…
Derivation of the Isotropic Diffusion Source Approximation (IDSA) for Supernova Neutrino Transport by Asymptotic Expansions
Heiko Berninger, Emmanuel Frenod, Martin Gander +2
We present Chapman--Enskog and Hilbert expansions applied to the $\BigO(v/c)$ Boltzmann equation for the radiative transfer of neutrinos in core-collapse supernovae. Based on the L…
A decay estimate for a wave equation with trapping and a complex potential
Lars Andersson, Pieter Blue, Jean-Philippe Nicolas
In this brief note, we consider a wave equation that has both trapping and a complex potential. For this problem, we prove a uniform bound on the energy and a Morawetz (or integrat…
Homogenization and enhancement for the G-equation
Pierre Cardaliaguet, James Nolen, Panagiotis E. Souganidis
We consider the so-called G-equation, a level set Hamilton-Jacobi equation, used as a sharp interface model for flame propagation, perturbed by an oscillatory advection in a spatio…
Models for cohesive sediments describing the evolution of the characteristics of particles
Emmanuel Frenod
The goal of this paper is to set up a framework designed to take into account the characteristics of sediment particles when transported by water. Our protocol consists in describi…
Existence of weak solutions for general nonlocal and nonlinear second-order parabolic equations
Guy Barles, Pierre Cardaliaguet, Olivier Ley +1
In this article, we provide existence results for a general class of nonlocal and nonlinear second-order parabolic equations. The main motivation comes from front propagation theor…
Uniqueness Results for Nonlocal Hamilton-Jacobi Equations
Guy Barles, Pierre Cardaliaguet, Olivier Ley +1
We are interested in nonlocal Eikonal Equations describing the evolution of interfaces moving with a nonlocal, non monotone velocity. For these equations, only the existence of glo…
Global Existence Results and Uniqueness for Dislocation Equations
Guy Barles, Pierre Cardaliaguet, Olivier Ley +1
We are interested in nonlocal Eikonal Equations arising in the study of the dynamics of dislocations lines in crystals. For these nonlocal but also non monotone equations, only the…