12 citations
- Centre National de la Recherche ScientifiqueFR4 papers
- Université Fédérale de Toulouse Midi-PyrénéesFR4 papers
- Institut de Mathématiques de ToulouseFR3 papers
- Université Toulouse III - Paul SabatierFR2 papers
- University of WarsawPL2 papers
- Institut d'Électronique et des Technologies du numéRiqueFR1 paper
- Institut National des Sciences Appliquées de RennesFR1 paper
- Laboratoire d'Analyse et d'Architecture des SystèmesFR1 paper
- Leibniz University HannoverDE1 paper
5 papers
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…
A DCCP Congestion Control Mechanism for Wired- cum-Wireless Environments
Ijaz Haider Naqvi, Tanguy Pérennou
Existing transport protocols, be it TCP, SCTP or DCCP, do not provide an efficient congestion control mechanism for heterogeneous wired-cum-wireless networks. Solutions involving i…
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…
The Brjuno function continuously estimates the size of quadratic Siegel disks
Xavier Buff, Arnaud Cheritat
If alpha is an irrational number, we define Yoccoz's Brjuno function Phi by Phi(alpha)=sum_{n geq 0} alpha_0*alpha_1*...*alpha_{n-1}*log(1/alpha_n), where alpha_0 is the fractional…