Asymptotic behavior of solutions for parabolic partial differential equations
In the natural world, one can see various static or dynamic patterns: animal skins, clouds, sand dunes, forest trees and so on. Furthermore, many organisms are known to exhibit complex aggregation behaviors and coordinations. Withoun saying, It is important to understand essential mechanisms governing the phenomena. One of the methods to understand such mechanisms is to use mathematical models describing the phenomena. As models describing various phenomena, many researchers have often utilized advection-reaction-diffusion equations. I focus on asymptotic behaviors of solutions. As typical asymptotic behaviors of solutions, there are chaotic behavior, periodic behavior, and convergence to a stationary solution. Among them, my aim is to study asymptotic convergence to a stationary solution.
- April 2018: Research Fellowship for Young Scientists DC2, Japan Society for the Promotion of Science
- March 2019: Doctor of Philosophy in the field of Information science from Osaka University
- March 2019: Humanware Innovation Program, Osaka University
- April 2019: Specially Appointed Assistant Professor, Institute for Transdisciplinary Graduate Degree Programs, Osaka University
- April 2019: Specially Appointed Assistant Professor, Graduate School of Information Science and Technology, Osaka University
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