12 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Institut de Recherche Mathématique AvancéeFR147 papers
- Université de StrasbourgFR9 papers
- Institut national de recherche en sciences et technologies du numériqueFR8 papers
- Laboratoire Jacques-Louis LionsFR8 papers
- Centre National de la Recherche ScientifiqueFR7 papers
- Laboratoire Analyse, Géométrie et ApplicationsFR6 papers
- Laboratoire de Mathématiques Jean LerayFR5 papers
- Université de LorraineFR5 papers
- Université Paris CitéFR5 papers
- Institut Élie Cartan de LorraineFR4 papers
- Laboratoire de Mathématiques d'OrsayFR4 papers
- Laboratoire de Mathématiques Raphaël SalemFR4 papers
33 papers · 1 filter
Two-way Coupling of Fluid--Structure Interaction for Elastic Magneto-Swimmers:A Finite Element ALE Approach
Christophe Prud'Homme, Vincent Chabannes, Laëtitia Giraldi +2
Artificial micro-swimmers actuated by external magnetic fields hold significant promise for targeted biomedical applications, including drug delivery and micro-robot-assisted thera…
Towards a computational framework using finite element methods with Arbitrary Lagrangian-Eulerian approach for swimmers with contact
Céline Van Landeghem, Luca Berti, Laëtitia Giraldi +1
Swimming involves a body's capability to navigate through a fluid by undergoing self-deformations. Typically, fluid dynamics are described by the Navier-Stokes equations, and when…
On the set of non radiative solutions for the energy critical wave equation
Raphaël Côte, Camille Laurent
Non radiative solutions of the energy critical non linear wave equation are global solutions that furthermore have vanishing asymptotic energy outside the lightcone at both $t…
A coupled fluid-dynamics-heat transfer model for 3D simulations of the aqueous humor flow in the human eye
Thomas Saigre, Christophe Prud'Homme, Marcela Szopos +1
Understanding human eye behavior involves intricate interactions between physical phenomena such as heat transfer and fluid dynamics. Accurate computational models are vital for co…
Sharp blow-up stability for self-similar solutions of the modified Korteweg-de Vries equation
Simão Correia, Raphaël Côte
We consider the modified Korteweg-de Vries equation. Given a self-similar solution, and a subcritical perturbation of any size, we prove that there exists a unique solution to the…
A scattering operator for some nonlinear elliptic equations
Raphaël Côte, Camille Laurent
We consider non linear elliptic equations of the form for suitable analytic nonlinearity , in the vinicity of infinity in , that is on the com…
Multi-frequency averaging and uniform accuracy towards numerical approximations for a Bloch model
Brigitte Bidégaray-Fesquet, Clément Jourdana, Léopold Trémant
We are interested in numerically solving a transitional model derived from the Bloch model. The Bloch equation describes the time evolution of the density matrix of a quantum syste…
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…
Asymptotic stability of 2-domain walls for the Landau-Lifshitz-Gilbert equation in a nanowire with Dzyaloshinskii-Moriya interaction
Raphaël Côte, Guillaume Ferriere
We consider a ferromagnetic nanowire, with an energy functional E with easy-axis in the direction , and which takes into account the Dzyaloshinskii-Moriya interaction. We cons…
Improved uniqueness of multi-breathers of the modified Korteweg-de Vries equation
Raphaël Côte, Alexander Semenov
We consider multi-breathers of (mKdV). Previously, a smooth multi-breather was constructed, and proved to be unique in two cases: first, if the class of super-polynomial convergenc…
Existence of surfaces optimizing geometric and PDE shape functionals under reach constraint
Yannick Privat, Rémi Robin, Mario Sigalotti
This article deals with the existence of hypersurfaces minimizing general shape functionals under certain geometric constraints. We consider as admissible shapes orientable hypersu…
Perturbation at blow-up time of self-similar solutions for the modified Korteweg-de Vries equation
Simão Correia, Raphaël Côte
We prove a first stability result of self-similar blow-up for the modified KdV equation on the line. More precisely, given a self-similar solution and a sufficiently small regular…
Spectral asymptotics for the vectorial damped wave equation
Guillaume Klein
The eigenfrequencies associated to a scalar damped wave equation are known to belong to a band parallel to the real axis. In [Sj{ö}00] J. Sj{ö}strand showed that up to a set of den…
Orbital Stability Of A Sum Of Solitons And Breathers Of The Modified Korteweg-de Vries Equation
Alexander Semenov
In this article, we prove that a sum of solitons and breathers of the modified Korteweg-de Vries equation (mKdV) is orbitally stable. The orbital stability is shown in H^2. More pr…
On existence and uniqueness of asymptotic -soliton-like solutions of the nonlinear klein-gordon equation
Xavier Friederich
We are interested in solutions of the nonlinear Klein-Gordon equation (NLKG) in , , which behave as a soliton or a sum of solitons in large time. In the sp…
Optimisation of the total population size for logistic diffusive equations: bang-bang property and fragmentation rate
Idriss Mazari, Grégoire Nadin, Yannick Privat
In this article, we give an in-depth analysis of the problem of optimising the total population size for a standard logistic-diffusive model. This optimisation problem stems from t…
On absolutely continuous curves in the Wasserstein space over R and their representation by an optimal Markov process
Charles Boubel, Nicolas Juillet
Let = (t)tR be a 1-parameter family of probability measures on R. In [11] we introduced its ``Markov-quantile''process: a process X= (Xt)tR that resembles as much…
Insensitizing controls for the heat equation with respect to boundary variations
Sylvain Ervedoza, Pierre Lissy, Yannick Privat
This article is dedicated to insensitization issues of a quadratic functional involving the solution of the linear heat equation with respect to domains variations. This work can b…
Optimization of spatial control strategies for population replacement, application to Wolbachia
Michel Duprez, Romane Hélie, Yannick Privat +1
In this article, we are interested in the analysis and simulation of solutions to an optimal control problem motivated by population dynamics issues. In order to control the spread…
Optimal control strategies for the sterile mosquitoes technique
Luís Almeida, Michel Duprez, Yannick Privat +1
Mosquitoes are responsible for the transmission of many diseases such as dengue fever, zika or chigungunya. One way to control the spread of these diseases is to use the sterile in…
Non dispersive solutions of the generalized KdV equations are typically multi-solitons
Xavier Friederich
We consider solutions of the generalized Korteweg-de Vries equations (gKdV) which are non dispersive in some sense (in the spirit of [18]) and which remain close to multi-solitons.…
Asymptotic K-soliton-like Solutions of the Zakharov-Kuznetsov type equations
Frédéric Valet
We study here the Zakharov-Kuznetsov equation in dimension and and the modified Zakharov-Kuznetsov equation in dimension . Those equations admit solitons, characterized…
Minimal cost-time strategies for population replacement using the IIT
Luis Almeida, Jesús Bellver, Michel Duprez +1
Vector control plays a central role in the fight against vector-borne diseases and, in particular, arboviruses. The use of the endosymbiotic bacterium Wolbachia has proven effectiv…
Polynomial Growth of high Sobolev Norms of solutions to the Zakharov-Kuznetsov Equation
Raphaël Cote, Frédéric Valet
We consider the Zakharov-Kuznetsov equation (ZK) in space dimension 2. Solutions u with initial data u\_0 H s are known to be global if s 1. We prove that for any integ…