偏微分方程式セミナー(2016/6/17): Traveling waves solutions of a nonlinear PDE model for tumour growth, 若狭 徹 氏 (九州工業大学)

開催日時
2016年   6月 17日 16時 30分 ~ 2016年   6月 17日 18時 00分
場所
北海道大学理学部3号館3-309室
講演者
若狭 徹 氏 (九州工業大学)
 
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).

関連項目

研究集会・セミナー・集中講義の一覧へ