ISHII Hiroshi Assistant Professor

Applied Mathematics

Organization
Research Institute for Electronic Science
Research Interest
Partial Differential Equations, Applied mathematics
Keywords
Reaction-diffusion system, Nonlocal effect, Pattern formation, Asymptotic behaviour

Research Activities

I am interested in time evolution equations with nonlocal effects. My research focuses on analyzing the effect of nonlocality on pattern formation. I also aim to apply the knowledge gained from the analysis to the understanding of the phenomena.

Papers

  • H. Ishii, R. Watanabe
    “Spot solutions to a neural field equation on oblate spheroids” Communications in Nonlinear Science and Numerical Simulation, 152(A) (2026) 109172 18 pages, 
  • H. Ishii
    “Propagating front solutions in a time-fractional Fisher-KPP equation” Discrete and Continuous Dynamical Systems Series B, 30(7), 2460-2482 (2025).
  • S.-I. Ei, H. Ishii, S. Kondo, T. Miura, Y. Tanaka
    “Effective nonlocal kernels on reaction-diffusion networks” Journal of Theoretical Biology, 509 (2021) 110496, 17 pages.
  • S.-I. Ei, J.-S. Guo, H. Ishii, and C.-C. Wu
    “Existence of traveling wave solutions to a nonlocal scalar equation with sign-changing kernel” Journal of Mathematical Analysis and Applications, 487(2) (2020) 124007, 14 pages.

WebPage

Link

Contact

hiroshi.ishii（at）es.hokudai.ac.jp