Papers
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