ISHII Hiroshi Assistant Professor

Applied Mathematics

Research Institute for Electronic Science
Research Interest
Partial Differential Equations, Applied mathematics
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.


  • S.-I. Ei, H. Ishii
    “The motion of weakly interacting localized patterns for reaction-diffusion systems with nonlocal effect”Discrete and Continuous Dynamical Systems Series B, 26(1), 173-190 (2021).
  • 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, 17pages.
  • 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.