Objective
A variety of nonlinear phenomena, including species spreading, Rayleigh–Bénard convection, and combustion theory, have been modeled by nonlinear partial differential equations centered on reaction-diffusion systems and have been the subject of active theoretical and empirical investigation in diverse fields. In particular, the discovery of the Turing instability by A. M. Turing has initiated research aimed at understanding patterns that appear in nature through reaction-diffusion systems. This has facilitated collaboration between theoretical and applied research by providing feedback on numerous nonlinear phenomena that were previously understood through experiments. For instance, the structure of stripes on the epidermis of zebrafish has been theoretically identified as a nonlinear phenomenon, with the essential factors identified from the mathematical side. This has made it possible for theoretical research and applied research to collaborate. These studies have been successful only by integrating the proposal of a mathematical model that describes the nonlinear phenomenon at hand, the elucidation of the mathematical properties of the solution of the mathematical model (theoretical research), and the visualization of the dynamics of the solution by reliable numerical computations (applied research). Therefore, in order to understand more complex nonlinear phenomena, it is essential to build a solid foundation for the organic fusion of theory and application. Consequently, we are convening a gathering of domestic and international researchers engaged in mathematical modeling, mathematical analysis, and numerical analysis of nonlinear phenomena in ecology, life science, and physiology. The objective of the meeting is to enhance the comprehension of nonlinear phenomena by disseminating the most recent research findings and identifying the challenges confronting researchers from disparate backgrounds who seldom interact at other conferences. Furthermore, the meeting aims to further integrate theory and application in an organic manner.
Speakers (as of September 30)
Goro Akagi (Tohoku University)
Kota Ikeda (Meiji University)
Hiroshi Matsuzawa (Kanagawa University)
Scott McCue (Queensland University of Technology)
Tomoyuki Miyaji (Kyoto University)
Liam Morrow (University of Oxford)
Masaharu Nagayama (Hokkaido University)
Hirokazu Ninomiya (Meiji University)
Shinya Okabe (Tohoku University)
Takeshi Suguro (Kumamoto University)
Tsubasa Sukekawa (Kyoto University)
Takeshi Takaishi (Musashino University)
Keisuke Takasao (Kyoto University)
Program (as of October 29th)
10/30 (Wed.)
13:00 ~ 13:10 Opening
13:10 ~ 13:50 Takeshi Takaishi (Musashino University)
Phase field fracture model and its applications
14:00 ~ 14:40 Shinya Okabe (Tohoku University)
A gradient flow for the ideal functional under a length constraint
14:40 ~ 15:10 Discussion time
15:10 ~ 15:50 Liam Morrow (University of Oxford)
A continuum model for patterns and flow in frictional fluid dynamics
16:00 ~ 16:40 Hirokazu Ninomiya (Meiji University)
Area preserving curvature flows in inhomogeneous media
10/31 (Thu.)
10:50 ~ 11:30 Tsubasa Sukekawa (Kyoto University)
Linearized eigenvalue problems for mass-conserved reaction-diffusion compartment models
11:30 ~ 13:10 Lunch & Discussion time
13:10 ~ 13:50 Keisuke Takasao (Kyoto University)
Phase field method for mean curvature flow with obstacles
14:00 ~ 14:40 Masaharu Nagayama (Hokkaido University)
Reaction-diffusion type modeling of the self-propelled object motion
14:40 ~ 15:10 Discussion time
15:10 ~ 15:50 Goro Akagi (Tohoku University)
Recent developments on strongly irreversible evolution systems
16:00 ~ 16:40 Scott McCue (Queensland University of Technology)
Advancing and receding fronts for a Stefan-Fisher-type moving boundary model
11/1 (Fri.)
10:00 ~ 10:40 Takeshi Suguro (Kumamoto University)
Well-posedness of the Cauchy problem of a drift-diffusion equation in amalgam spaces
10:50 ~ 11:30 Hiroshi Matsuzawa (Kanagawa University)
Spreading phenomenon in a nonlinear Stefan problem with a certain class of multistable nonlinearity
11:30 ~ 13:10 Lunch & Discussion time
13:10 ~ 13:50 Kota Ikeda (Meiji University)
Mathematical analysis on congestion in the optimal velocity model
14:00 ~ 14:40 Tomoyuki Miyaji (Kyoto University)
Numerical bifurcation analysis for a delay difference equation model for traffic flow
14:40 ~ 14:50 Closing
Venue
Room 420
Research Institute for Mathematical Sciences, Kyoto University
See here for access to the venue.
Registration Form
Registration is required by September 28th from here.
A banquet will be held on the evening of October 31, details of which will be announced later. The budget should be 5,000 yen per person, and a student discount will be applied. Please register for the reception using the link above.
Organizers
Koya Sakakibara (Kanazawa University)
Hideki Murakawa (Ryukoku University)