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This is the personal site of Keiichiro KAGAWA (香川渓一郎).

日本語のページは https://sites.google.com/view/keiichiro-kagawa へ

Affiliation

(Specially Appointed) Assistant Professor, Research Institute for Electronic Science, Hokkaido Univ.

ORCID

Academies

• The Mathematical Society of Japan (09/2018 - Now)
• The Physical Society of Japan (09/2021 - Now)
• The Japan Society for Industrial and Applied Mathematics (09/2022 - Now)
• The Japan Society of Fluid Mechanics (09/2019 - 03/2023)

Education

• 04/2011 - 03/2014, Musashi High School
• 04/2014 - 03/2018, Department of Applied Physics, School of Advanced Science and Engineering, Waseda Univ.
• 04/2018 - 03/2020, Master’s Program in Department of Pure and Applied Physics, Graduate School of Advanced Science and Engineering, Waseda Univ. (03/15/2020, Master of Science, supervisor: Mitsuharu Ôtani)
• 04/2020 - 03/2023, Doctoral Program in Department of Pure and Applied Physics, Graduate School of Advanced Science and Engineering, Waseda Univ. (03/15/20223, Doctor of Science, supervisor: Yoshihiro Yamazaki)

Occupation

• 04/2020 - 03/2023, Research Fellow of Japan Society for the Promotion of Science (DC1), Waseda Univ.
• 04/2023 - 09/2023, Post-Doctoral Fellow, Research Institute for Electronic Science, Hokkaido Univ.
• 10/2023 - now, (Specially Appointed) Assistant Professor, Research Institute for Electronic Science, Hokkaido Univ.

Awards

• 小泉賞, 早稲田応用物理会・早稲田物理会

Contact

E-mail: heiankyo615あっとfuji.waseda.jp (change あっと to @)

LinkedIn

Research Interests

I’m studying the well-posedness of Cauchy/time-periodic problems of nonlinear evolution equations. Currently, I am studying the well-posedness of initial value and time-periodic problems of the Cahn–Hilliard equation, which was derived to describe spinodal decomposition, a phase separation phenomenon in alloys. Understanding well-posedness of problems is a minimum requirement to determine whether an equation derived by modeling a natural phenomenon is mathematically appropriate as a model or not. It also serves as a basis for theoretical assurance of the validity of numerical simulation results. I’m also interested in the numerical simulation of the Cahn–Hilliard equation.

Keywords

Nonlinear differential equation, nonlinear evolution equation, functional analysis;

well-posedness, initial/boundary value problem, time-periodic problem, dynamic boundary condition;

subdifferentional operator, maximal monotone operator, Lipschitz continuous;

Cahn–Hilliard equation.

Qualification

JDLA Deep Learning for GENERAL 2020 #2

Skills

LaTeX (2014 - now)

• Writing reports and lecture materials
• Writing papers
• Creating lecture slides

Python (2019 - now)

• Simple numerical simulation
• Basic data analysis using pandas
• Simple program to manage files in a PC

Julia (2021 - now)

• Numerical simulation of differential equations

C++ (2023 - now)

• Numerical simulation of differential equations

Updates

• 2021/07/25 I published this page.