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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
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96 papers · 1 filter
Quantitative rigidity of the Wasserstein contraction under convolution
Max Fathi, Michael Goldman, Daniel Tsodyks
The aim of this paper is to investigate the contraction properties of -Wasserstein distances with respect to convolution in Euclidean spaces both qualitatively and quantitativel…
Existence of multi-solitons with any parameters for the 5D energy critical wave equation
Yvan Martel, Frank Merle
For the focusing, energy critical wave equation in dimension 5, we construct multi-solitons with any number of solitons, any choice of signs, speeds, scaling parameters and transla…
Dynamics of solutions in the 1d bi-harmonic nonlinear Schrödinger equation
Christian Klein, Iryna Petrenko, Svetlana Roudenko +1
We consider the one dimensional 4th order, or bi-harmonic, nonlinear Schrödinger (NLS) equation, namely, , , and investigate…
Relaxation enhancement by controlling incompressible fluid flows
Kai Koike, Vahagn Nersesyan, Manuel Rissel +1
We propose a PDE-controllability based approach to the enhancement of diffusive mixing for passive scalar fields. Unlike in the existing literature, our relaxation enhancing fields…
Gluing methods for quantitative stability of optimal transport maps
Cyril Letrouit, Quentin Mérigot
We establish quantitative stability bounds for the quadratic optimal transport map between a fixed probability density and a probability measure on . Un…
Is the Faber-Krahn inequality true for the Stokes operator?
Antoine Henrot, Idriss Mazari-Fouquer, Yannick Privat
The goal of this paper is to investigate the minimisation of the first eigenvalue of the (vectorial) incompressible Dirichlet-Stokes operator. After providing an existence result,…
On the Krein-Rutman theorem and beyond
Claudia Fonte Sanchez, Pierre Gabriel, Stéphane Mischler
In this work, we revisit the Krein-Rutman theory for semigroups of positive operators in a Banach lattice framework and we provide some very general, efficient and handy results wi…
Evolution of Gaussian measures and application to the one dimensional nonlinear Schr{ö}dinger equation
Laurent Thomann, Nicolas Burq
In this note, we give an overview of some results obtained in [3]. This latter work is devoted to the study of the one-dimensional nonlinear Schr{ö}dinger equation with random init…
Minimal time of magnetization switching in small ferromagnetic ellipsoidal samples
Raphaël Côte, Clémentine Courtès, Guillaume Ferrière +1
In this paper, we consider a ferromagnetic material of ellipsoidal shape. The associated magnetic moment then has two asymptotically stable opposite equilibria, of the form $\pm\ov…
Spectral instability of small-amplitude periodic waves of the electronic Euler-Poisson system
Pascal Noble, Luis Miguel Rodrigues, Changzhen Sun
The present work shows that essentially all small-amplitude periodic traveling waves of the electronic Euler-Poisson system are spectrally unstable. This instability is neither mod…
Length orthospectrum of convex bodies on flat tori
Nguyen Viet Dang, Matthieu Léautaud, Gabriel Rivière
In analogy with the study of Pollicott-Ruelle resonances on negatively curved manifolds, we define anisotropic Sobolev spaces that are well-adapted to the analysis of the geodesic…
A Kermack-McKendrick model with age of infection starting from a single or multiple cohorts of infected patients
Jacques Demongeot, Quentin Griette, Yvon Maday +1
During an epidemic, the infectiousness of infected individuals is known to depend on the time since the individual was infected, that is called the age of infection. Here we study…
Numerical study of the transverse stability of line solitons of the Zakharov-Kuznetsov equations
Christian Klein, Jean-Claude Saut, Nikola Stoilov
We present a detailed numerical study of the stability under periodic perturbations of line solitons of two-dimensional, generalized Zakharov-Kuznetsov equations with various power…
A cross-diffusion system obtained via (convex) relaxation in the JKO scheme
Romain Ducasse, Filippo Santambrogio, Havva Yoldaş
In this paper, we start from a very natural system of cross-diffusion equations, which can be seen as a gradient flow for the Wasserstein distance of a certain functional. Unfortun…
Dynamics of nonlinear Klein-Gordon equations in low regularity on S^2
Joackim Bernier, Benoît Grébert, Gabriel Rivière
We describe the long time behavior of small non-smooth solutions to the nonlinear Klein-Gordon equations on the sphere S^2. More precisely, we prove that the low harmonic energies…
Motion of several slender rigid filaments in a Stokes flow
Richard M. Höfer, Christophe Prange, Franck Sueur
We investigate the dynamics of several slender rigid bodies moving in a flow driven by the three-dimensional steady Stokes system in presence of a smooth background flow. More prec…
On the ill-posedness of the triple deck model
Helge Dietert, David Gérard-Varet
We analyze the stability properties of the so-called triple deck model, a classical refinement of the Prandtl equation to describe boundary layer separation. Combining the methodol…
Quantitative nonlinear homogenization: control of oscillations
Nicolas Clozeau, Antoine Gloria
Quantitative stochastic homogenization of linear elliptic operators is by now well-understood. In this contribution we move forward to the nonlinear setting of monotone operators w…
Soliton resolution for critical co-rotational wave maps and radial cubic wave equation
Thomas Duyckaerts, Carlos Kenig, Yvan Martel +1
In this paper we prove the soliton resolution conjecture for all times, for all solutions in the energy space, of the co-rotational wave map equation. To our knowledge this is the…
Almost sure scattering for the one dimensional nonlinear Schrödinger equation
Nicolas Burq, Laurent Thomann
We consider the one-dimensional nonlinear Schrödinger equation with a nonlinearity of degree . We exhibit measures on the space of initial data for which we describe the non t…
Complex powers of the wave operator and the spectral action on Lorentzian scattering spaces
Nguyen Viet Dang, Michał Wrochna
We consider perturbations of Minkowski space as well as more general spacetimes on which the wave operator is known to be essentially self-adjoint. We define complex po…
Threshold solutions in the focusing 3D cubic NLS equation outside a strictly convex obstacle
Thomas Duyckaerts, Oussama Landoulsi, Svetlana Roudenko
We study the dynamics of the focusing cubic nonlinear Schrödinger equation in the exterior of a strictly convex obstacle at the mass-energy threshold, namely, when $ E_Ω[u_0]…
Some non-homogeneous Gagliardo-Nirenberg inequalities and application to a biharmonic non-linear Schrödinger equation
Antonio J. Fernández, Louis Jeanjean, Rainer Mandel +1
We study the standing waves for a fourth-order Schrödinger equation with mixed dispersion that minimize the associated energy when the norm (the \textit{mass}) } is kept fixe…
A Cucker-Smale inspired deterministic mean field game with velocity interactions
Filippo Santambrogio, Woojoo Shim
We introduce a mean field game model for pedestrians moving in a given domain and choosing their trajectories so as to minimize a cost including a penalization on the difference be…