217 citations
- Université Toulouse III - Paul SabatierFR183 papers
- Institut de Mathématiques de ToulouseFR172 papers
- Centre National de la Recherche ScientifiqueFR171 papers
- Université Fédérale de Toulouse Midi-PyrénéesFR113 papers
- Institut National des Sciences Appliquées de ToulouseFR76 papers
- Université de ToulouseFR44 papers
- Laboratoire d'Analyse et d'Architecture des SystèmesFR18 papers
- University of Rome Tor VergataIT8 papers
- Institut Universitaire de FranceFR7 papers
- Toulouse School of EconomicsFR7 papers
- Université Paris CitéFR7 papers
- Centre de Recherche en Mathématiques de la DécisionFR6 papers
57 papers · 1 filter
Swarming by curvature control in arbitrary dimension
Pierre Degond, Antoine Diez, Amic Frouvelle
We consider an interacting particle system proposed in the literature to model fish behavior. In this model, the agents move at constant speed and control the curvature of their tr…
Spreading Properties of a City-Road Reaction-Diffusion Model on One-Dimensional Lattice
Grégory Faye, Jean-Michel Roquejoffre, Min Zhao
We propose and study a new model to describe biological invasions constrained on infinite homogeneous one dimensional metric graphs. Our model consists of an infinite PDE-ODE syste…
Concentration in selection-mutation models: error estimates and asymptotic expansions
Caroline Guinet, Sepideh Mirrahimi, Jean-Michel Roquejoffre
In this paper, we study an integro-differential equation which describes the evolutionary dynamics of a population structured by a phenotypic trait. This population undergoes asexu…
Observability estimates for the Schrödinger equation on the equilateral triangle
Paul Alphonse, David Lafontaine
We prove observability estimates for the Schrödinger equation posed on the equilateral triangle in the plane, under both Neumann and Dirichlet boundary conditions. No geometric con…
Orbital stability of plane waves in the Klein-Gordon equation against localized perturbations
Emile Bukieda, Louis Garénaux, Björn de Rijk
We investigate the stability and long-term behavior of spatially periodic plane waves in the complex Klein-Gordon equation under localized perturbations. Such perturbations render…
Ground states on a fractured strip and one dimensional reduction
Stefan Le Coz, Boris Shakarov
We consider the nonlinear Schr\''odinger equation on a strip with Neumann boundary conditions and a delta condition on the -axis. First, we show the existence of ground states a…