Kyoto University Applied Mathematics Seminar (KUAMS)

In the Department of Mathematics at Graduate School of Science, Kyoto University, we hold a seminar once in a month, inviting a broad spectrum of lecturers working in various fields of mathematics and fields that connect or are expected to connect in the future to applications of mathematics. We prepare a wide range of inspiring topics carrying the features of applied mathematics and we gladly welcome the participation not only of mathematicians but also of those who do research in fields related to mathematics and feel interested.

 

Upcoming seminars

 

No. 58:   January 9, 2019 (Wed) 13:30-15:00

Dr. Jan Haskovec (King Abdullah University of Science and Technology, Jeddah)
"Discrete and continuum modeling of biological network formation"

Abstract: Motivated by recent papers describing rules for natural network formation in discrete settings, we propose an elliptic-parabolic system of partial differential equations. The model describes the pressure field due to Darcy’s type equation and the dynamics of the conductance network under pressure force effects with a diffusion rate representing randomness in the material structure. After a short overview of the principles of discrete network modeling, we show how to derive the corresponding macroscopic (continuum) description. The highly unusual structure of the resulting PDE system induces several interesting challenges for its mathematical analysis. We give a short overview of the tools and tricks that can be used to overcome them. In particular, we present results regarding the existence of weak solutions of the system, based on recent results on elliptic regularity theory. Moreover, we study the structure and stability properties of steady states that play a central role to understand the pattern capacity of the system. We present results of systematic numerical simulations of the system that provide further insights into the properties of the network-type solutions.
Note: The day and time are different from the usual ones.

 

No. 59:   January 29, 2019 (Tue) 16:30-18:00

Prof. Shoji Ito (Osaka Electro-Communication University)
"TBA"