Chemotaxis: from kinetic equations to aggregate dynamics

Details Chemotaxis: from kinetic equations to aggregate dynamics Chemotaxis: from kinetic equations to aggregate dynamics

2011-07-05

arxiv.org/abs/1107.0786v2

Mathematics

Analysis of PDEs

26 pages

Scientific paper

The hydrodynamic limit for a kinetic model of chemotaxis is investigated. The limit equation is a non local conservation law, for which finite time blow-up occurs, giving rise to measure-valued solutions and discontinuous velocities. An adaptation of the notion of duality solutions, introduced for linear equations with discontinuous coefficients, leads to an existence result. Uniqueness is obtained through a precise definition of the nonlinear flux as well as the complete dynamics of aggregates, i.e. combinations of Dirac masses. Finally a particle method is used to build an adapted numerical scheme.

Affiliated with

Also associated with

No associations

Rating

Chemotaxis: from kinetic equations to aggregate dynamics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Chemotaxis: from kinetic equations to aggregate dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chemotaxis: from kinetic equations to aggregate dynamics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-476015