PDE Seminar (2016/6/17): Traveling waves solutions of a nonlinear PDE model for tumour growth, Tohru Wakasa (Kyushu Institute of Technology)

Date
2016-6-17 16:30 - 2016-6-17 18:00
Place
Faculty of Science Building #3, Room 309
Speaker/Organizer
Tohru Wakasa (Kyushu Institute of Technology)
 
A nonlinear PDE model for tumour growth, which takes account of contact inhibition, has been proposed by Bertsch, Dal-Passo and Mimura (2010). A feature of this PDE model is an appearance of traveling wave solution which forms a discontinuous profile. On the other hand, this model also admits infinite number of smooth traveling wave solutions like the celebrated Fisher-KPP equation.

In this talk we will introduce the PDE model and numerical simulations and show some analytical results on the traveling wave solutions. We will employ a standard dynamical system approach to obtain the results.

This talk is based on the jointwork with Michiel Bertsch (CNR, Italy), Danielle Hilhorst (Paris Sud, France), Hirofumi Izuhara (Miyazaki) and Masayasu Mimura (Meiji).