![[Search]](/static/images/search.gif){kind=small}
![[A-Z Index]](/static/images/az.gif){kind=small}
![[Contact]](/static/images/contact.gif){kind=small}
![[University of Cambridge]](/static/images/identifier2.gif){kind=small}
![[Talks.cam]](/static/images/talkslogosmall.gif)
Nicolas Vauchelet (Univ. Paris 13) 
Thursday 24 November 2016, 14:00-15:00
Aggregation of bacteria by chemotaxis: mathematical and numerical analysis
- đ¤ Speaker: Nicolas Vauchelet (Univ. Paris 13) đ Website
- đ Date & Time: Thursday 24 November 2016, 14:00 - 15:00
- đ Venue: CMS, MR5
Abstract
Chemotaxis is the phenomenon by which cells direct their motion according to a chemical present in their environment. In the case of positive chemotaxis, strong aggregation may occur that create patch. From a mathematical point of view, it leads to the study of the so-called aggregation equation which describes the interaction through a potential. Such model can be derived thanks to a hyperbolic limit of kinetic equations modeling the run-and-tumble process of bacteria. In this case the interacting potential is pointy, then solutions of aggregation equation may blow-up in finite time. In this work, we propose to study the existence of weak measure solutions for such aggregation equation, which allows to define solutions beyond the blow-up time. Our approach is based on the definition of weak measure solutions for transport equation with discontinuous coefficients. Then we investigate its numerical simulations and propose a numerical analysis.
Series This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.
Included in Lists
- All CMS events
- All Talks (aka the CURE list)
- bld31
- CMS Events
- CMS, MR5
- DPMMS info aggregator
- DPMMS lists
- DPMMS Lists
- DPMMS Pure Maths Seminar
- Fav
- Geometric Analysis & Partial Differential Equations seminar
- Hanchen DaDaDash
- Interested Talks
- My seminars
- School of Physical Sciences
Note: Ex-directory lists are not shown.