12 citations
- Centre National de la Recherche ScientifiqueFR10 papers
- Institut de Mathématiques de ToulouseFR8 papers
- Université Fédérale de Toulouse Midi-PyrénéesFR8 papers
- Université Toulouse III - Paul SabatierFR5 papers
- Laboratoire d'Analyse et d'Architecture des SystèmesFR2 papers
- University of WarsawPL2 papers
- Columbia UniversityUS1 paper
- Institució Catalana de Recerca i Estudis AvançatsES1 paper
- Institut d'Électronique et des Technologies du numéRiqueFR1 paper
- Institut Municipal d'Assistència SanitàriaES1 paper
- Institut national de recherche en sciences et technologies du numériqueFR1 paper
- Institut National des Sciences Appliquées de RennesFR1 paper
5 papers · 1 filter
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…
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…
Gradient estimates for a degenerate parabolic equation with gradient absorption and applications
Jean-Philippe Bartier, Philippe Laurençot
Qualitative properties of non-negative solutions to a quasilinear degenerate parabolic equation with an absorption term depending solely on the gradient are shown, providing inform…