Papers
Hirofumi Izuhara, Harunori Monobe, Yong-Jie Syu, Chang-Hong Wu, Semi-waves for delayed fisher-KPP equations without quasimonotonicity, Partial Differ. Equ. Appl. (2025).
H. Monobe and Y. Morita, Spatial patterns of stable solutions to the bistable reaction–diffusion equation on metric graphs, Jpn. J. Ind. Appl. Math. (2025).
M. Nagayama, H. Monobe, K. Sakakibara, K. Nakamura, Y. Kobayashi and H. Kitahata, On the reaction-diffusion type modelling of the self-propelled object motion, Scientific Reportsm, 13(1) (2023).
H. Monobe, M. Shimojo and E. Yanagida, Spreading and extinction of solutions to the logarithmic diffusion equation with a logistic reaction, SIAM J. Math. Anal., 55(3) (2023), 2261-2287.
H. Izuhara, H. Monobe and C.-H. Wu, Spatial segregation of multiple species: A singular limit approach, DCDS-B, 28(2023), 6208-6232.
H. Izuhara, H. Monobe and C.-H. Wu, The formation of spreading front : the singular limit of three-component Lotka-Volterra Competiton model, Journal of Mathematical Biology, 82 (2022), No. 38.
H. Matsuzawa, H. Monobe, M. Shimojo and E. Yanagida, Convergence to a traveling wave in the logarithmic diffusion equation with a bistable nonlinearity, Indiana University Mathematics Journal,71(1) (2022), 125-151.
H. Monobe and H. Ninomiya, Compact traveling waves for anisotropic curvature flow with driving force, Transactions of the American Mathematical Society, 374 (2021), 2447-2477.
H. Guo and H. Monobe, V-shaped fronts around an obstacle, Mathematische Annallen, 379 (2021), 661-689.
M. Iida, H. Monobe, H. Murakawa and H. Ninomiya, Vanishing, moving and immovable interfaces in fast reaction limits, Journal of Differential Equations, 263 (2017), 2715-2735.
H. Monobe and H. Ninomiya, Traveling wave solutions with convex domains for a free boundary problem, Discrete and Continuous Dynamical Systems Series A, 37-2 (2017), 905-914.
H. Monobe and C.-H. Wu, On a free boundary problem for a reaction-diffusion-advection logistic model in heterogeneous environment, Journal of Differential Equations, 261 (2016), 6144-6177.
H. Monobe, On the existence of two stationary solutions for a free boundary problem describing cell motility, Tamkang Journal of Mathematics, 47-1 (2016), 39-50.
H. Monobe, Behavior of radially symmetric solutions for a free boundary problem related to cell motility, Discrete and Continuous Dynamical Systems Series S, 8-5 (2015), 989-997.
H. Monobe and H. Ninomiya, Multiple existence of traveling waves of a free boundary problem describing cell motility, Discrete and Continuous Dynamical Systems Series B, 19 (2014), 789–799.
H. Monobe, Behavior of solutions for a free boundary problem describing amoeba motion, Differential and Integral Equations, 25 (2012), 93–116.
H. Monobe, Existence of solutions for a mathematical model related to the motion of an amoeba, Adv. Math. Sci. Appl., 20-2 (2010), 447–465.
Research Grants
2018 April ~ 2020 March :
Grant-in-Aid for Young Scientists from Japan Society for the Promotion of Science
2016 April ~ 2019 March :
Grant-in-Aid for JSPS Fellows from Japan Society for the Promotion of Science
2015 April ~ 2018 March :
Grant-in-Aid for Young Scientists (B) from Japan Society for the Promotion of Science
2012 October ~ 2014 March :
Grant-in-Aid for Research Activity start-up from Japan Society for the Promotion of Science