Speaker: Professor Tohru Wasaka
Affiliation: Kyushu Institute of Technology, Japan
Friday, August 10 at 11 am.
Title: Mathematical analysis of traveling wave for a tumor growth model
Abstract: A nonlinear PDE model for tumor 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 of a discontinuity, which is called as segregated traveling wave (Bertsch-Mimura-Wakasa (2013)). On the other hand, this model also admits infinite number of smooth traveling wave solutions like the celebrated Fisher-KPP equation (Bertsch-Hilhorst-Izuhara-Mimura-Wakasa (2015)). In this talk, we will briefly introduce the PDE model, numerical results and analytical results on the traveling wave solutions, which are obtained in the articles above. Furthermore, recent works on the various kind of traveling wave solutions will be discussed. This talk is based on the joint work with Michiel Bertsch (Univ. Rome Tor Vertaga, Italy), Danielle Hilhorst (Univ. Paris Sud, France), Hirofumi Izuhara (Miyazaki Univ., Japan) and Masayasu Mimura (Musashino Univ., Japan).