ICMMA 2015 'Self-Organization Modeling and Analysis', Poster Award,All global bifurcation curves for a cell polarization modelT.Mori K.Kuto T.Tsujikawa S.Yotsutani
2015年2月
The 6th Taiwan-Japan Joint Workshop for Young Scholars in Applied Mathematics, Excellence Research Award,Exact multiplicity of stationary solutions of a cell polarization modelT.Mori K.Kuto T.Tsujikawa S.Yotsutani
Kousuke Kuto   Tatsuki Mori   Tohru Tsujikawa   Shoji Yotsutani   
JOURNAL OF DIFFERENTIAL EQUATIONS 263(5) 2687-2714 2017年9月 [査読有り]
This paper studies the Neumann problem of a nonlocal Allen-Cahn equation in an interval. A main result finds a symmetry breaking (secondary) bifurcation point on the bifurcation curve of solutions with odd-symmetry. Our proof is based on a level s...
Tatsuki Mori   Kousuke Kuto   Tohru Tsujikawa   Shoji Yotsutani   
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 36(10) 5627-5655 2016年10月 [査読有り]
We show existence, nonexistence, and exact multiplicity for stationary limiting problems of a cell polarization model proposed by Y. Mori, A. Jilkine and L. Edelstein-Keshet. It is a nonlinear boundary value problem with total mass constraint. We ...
Dynamical Systems and Differential Equations, AIMS Proceedings 2015 Proceedings of the 10th AIMS International Conference (Madrid, Spain) 2015(2015(special)) 861-877 2015年11月 [査読有り]