output
20042026
most citedTraffic Instabilities in Self-Organized Pedestrian Crowds

217 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2008 · math.APShow all

5 papers · 2 filters

math.AP2008

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…

math.AP2008

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…

math.AP2008★ 3 cited

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…

math.AP2008★ 78 cited

Regularity issues in the problem of fluid structure interaction

David Gérard-Varet, Matthieu Hillairet

We investigate the evolution of rigid bodies in a viscous incompressible fluid. The flow is governed by the 2D Navier-Stokes equations, set in a bounded domain with Dirichlet bound…

math.AP2008★ 3 cited

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…