Description

Title: Study of a nonlinear renewal equation with diffusion

Abstract: We consider a nonlinear age structured McKendrick-von Foerster
population model with diffusion term (MV-D). We prove the existence and
uniqueness of solution of the MV-D equation. We also prove the convergence
of the solution to its steady state as time tends to infinity using the generalized relative entropy inequality and Poincare Writinger type inequality.

We propose a numerical scheme for the linear MV-D equation. We discretize
the time variable to get a system of second order ordinary differential
equations. Convergence of the scheme is established using the stability
estimates by introducing Rothe’s function.

Description

Mini conference room, Mathematics department

Date

Mon, January 2, 2017

Start Time

3:30pm-4:30pm IST

Duration

1 hour

Priority

5-Medium

Access

Public

Created by

DEFAULT ADMINISTRATOR

Updated

Mon, January 2, 2017 11:07am IST