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FMSP Lectures
Seminar information archive ～04/19｜Next seminar｜Future seminars 04/20～
2015/10/30
15:00-16:15 Room #128 (Graduate School of Math. Sci. Bldg.)
Arnaud Ducrot (University of Bordeaux)
Asymptotic behaviour of a nonlocal logistic equation (ENGLISH)
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Ducrot.pdf
Arnaud Ducrot (University of Bordeaux)
Asymptotic behaviour of a nonlocal logistic equation (ENGLISH)
[ Abstract ]
In this talk we consider a nonlocal logistic equation endowed with periodic boundary conditions modelling the motion of cells. This equation takes into account birth and death process using a simple logistic effect while the motion of particles follows a nonlocal Darcy law with a smooth kernel.
We first investigate the well-posedness of the problem before investigating the long time behaviour of the solutions. The lack of asymptotic compactness of the semiflow is overcome by using a Young measure framework. Using a suitable energy functional, we
establish the convergence of the solutions with respect to the Young measure topology.
[ Reference URL ]In this talk we consider a nonlocal logistic equation endowed with periodic boundary conditions modelling the motion of cells. This equation takes into account birth and death process using a simple logistic effect while the motion of particles follows a nonlocal Darcy law with a smooth kernel.
We first investigate the well-posedness of the problem before investigating the long time behaviour of the solutions. The lack of asymptotic compactness of the semiflow is overcome by using a Young measure framework. Using a suitable energy functional, we
establish the convergence of the solutions with respect to the Young measure topology.
http://fmsp.ms.u-tokyo.ac.jp/FMSPLectures_Ducrot.pdf
