207 citations
- Université Toulouse III - Paul SabatierFR40 papers
- Centre National de la Recherche ScientifiqueFR30 papers
- Institut National des Sciences Appliquées de ToulouseFR30 papers
- Toulouse Mathematics Institute22 papers
- Université Fédérale de Toulouse Midi-PyrénéesFR22 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR4 papers
- Laboratoire de Mathématiques Blaise PascalFR4 papers
- Laboratoire de Mathématiques d'OrsayFR3 papers
- École Nationale de l’Aviation CivileFR2 papers
- Institut Camille JordanFR2 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR2 papers
- Institut de Mathématiques de MarseilleFR2 papers
6 papers · 2 filters
Two soliton solutions to the three dimensional gravitational Hartree equation
Joachim Krieger, Yvan Martel, Pierre Raphael
We construct non dispersive two soliton solutions to the three dimensional gravitational Hartree equation whose trajectories asymptotically reproduce the nontrapped dynamics of the…
Finite time blow-up for a one-dimensional quasilinear parabolic-parabolic chemotaxis system
Tomasz Cieślak, Philippe Laurençot
Finite time blow-up is shown to occur for solutions to a one-dimensional quasilinear parabolic-parabolic chemotaxis system as soon as the mean value of the initial condition exceed…
Finite time blow-up for radially symmetric solutions to a critical quasilinear Smoluchowski-Poisson system
Tomasz Cieślak, Philippe Laurençot
Finite time blow-up is shown to occur for radially symmetric solutions to a critical quasilinear Smoluchowski-Poisson system provided that the mass of the initial condition exceeds…
Proteus mirabilis swarm-colony development with drift
Philippe Laurençot, Christoph Walker
We prove a global existence result for a model describing the swarming phenomenon of the bacterium Proteus mirabilis. The model consists of an ordinary differential equation couple…
Subelliptic Li-Yau estimates on three dimensional model spaces
D. Bakry, F. Baudoin, M. Bonnefont +1
We describe three elementary models in three dimensional subelliptic geometry which correspond to the three models of the Riemannian geometry (spheres, Euclidean spaces and Hyperbo…
Critical mass for a Patlak-Keller-Segel model with degenerate diffusion in higher dimensions
Adrien Blanchet, José Antonio Carrillo, Philippe Laurençot
This paper is devoted to the analysis of non-negative solutions for a generalisation of the classical parabolic-elliptic Patlak-Keller-Segel system with and porous medium-l…