1k citations
- Université Toulouse III - Paul SabatierFR936 papers
- Centre National de la Recherche ScientifiqueFR543 papers
- Institut National des Sciences Appliquées de ToulouseFR543 papers
- Université de ToulouseFR306 papers
- Toulouse Mathematics Institute172 papers
- Université Fédérale de Toulouse Midi-PyrénéesFR155 papers
- Institut Universitaire de FranceFR37 papers
- Institut national de recherche en sciences et technologies du numériqueFR35 papers
- Laboratoire de Mathématiques d'OrsayFR34 papers
- Institut de Mathématiques de BordeauxFR31 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR27 papers
- Laboratoire d'Analyse et d'Architecture des SystèmesFR27 papers
268 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…
Global existence and decay of small solutions in a viscous half Klein-Gordon equation
Louis Garénaux, Björn de Rijk
We establish global existence and decay of solutions of a viscous half Klein-Gordon equation with a quadratic nonlinearity considering initial data, whose Fourier transform is smal…
Numerical analysis of the homogeneous Landau equation: approximation, error estimates and simulation
Francis Filbet, Yanzhi Gui, Ling-Bing He
We construct a numerical solution to the spatially homogeneous Landau equation with Coulomb potential on a domain with N retained Fourier modes. By deriving an explicit error…