(Last updated : 2022-04-19 14:41:00)
  MATANO HIROSHI
   Department   Organization  , Organization for the Strategic Coordination of Research and Intellectual Properties
   Position   Professor (non-tenured)
■ Books and Papers
1. 2022/03 Article Asymptotic Behavior of Fronts and Pulses of the Bidomain Model SIAM Journal on Applied Dynamical Systems 21(1),pp.616-649 (Collaboration)  Link
2. 2020/09 Article Existence and uniqueness of propagating terraces Comm. Contemp. Math. 22(6),pp.1950055-1950055 (Collaboration) 
3. 2020/06 Article Convergence and structure theorems for order-preserving dynamical systems with mass conservation Discrete and Continuous Dynamical Systems Se. A 40(6),pp.3883-3907 (Collaboration) 
4. 2020/06 Article Generation of interface for solutions of the mass conserved Allen--Cahn equation SIAM J. Math. Anal. 52(3),pp.2624-2654 (Collaboration) 
5. 2020/05 Article Dynamics of time-periodic reaction-diffusion equations with front-like initial data on R SIAM J. Math. Anal. 52(3),pp.2411-2462 (Collaboration) 
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■ Conference Presentations
1. 2021/10/29 Memory of Mayan (ReaDiNet 2021: An Online Conference on Recent Topics in Reaction-Diffusion System, Biology, Medicine and Chemistry) Link
2. 2021/10/28 Stability of fronts in bidomain models (Nonlinear Elliptic and Parabolic Equations with Applications --- Dedicated to Professor Yihong Du on the Occasion of His 60th Birthday)
3. 2020/09/06 Propagation of bistable fronts through a perforated wall
4. 2019/11/10 Existence of a multi-solition solution for the critical nonlinear heat equation (Singular Problems, Blow-up, and Regimes with Peaking in Nonlinear PDEs)
5. 2019/11/01 Propagation of bistable fronts through a perforated wall (Calculus of Variations: A celebration of Paul Rabinowitz’s 80th birthday)
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■ Academic Qualifications
1. 〔Master degree program〕 Department of Mathematical Sciences, Graduate School, Division of Natural Science, Kyoto University, Completed, Master of Science
2. 〔Doctoral course〕 Department of Mathematical Sciences, Graduate School, Division of Natural Science, Kyoto University, Unfinished course,
3. Kyoto University, Doctor of Science
■ Research Topics, Consignment Studies & KAKENHI Researches
1. 2017/06~2020/03  Investigation of the mathematical structure of bidomain models  (Key Word : )
2. 2017/04~2019/03  Studies on spreading fronts in reaction-diffusion systems and related free boundary problems  (Key Word : )
3. 2016/04~2020/03  Studies on the qualitative theory and singularities of nonlinear partial differential equations  (Key Word : )
4. 2014/04~2017/03  Stochastic analytic study on Kardar-Parisi-Zhang equation  (Key Word : )
5. 2014/04~2017/03  Studies of the interface motion and the signal propagation mechanism in the bidomain model  (Key Word : )
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■ Current Specialized Field
front propagation in reaction-diffusion systems, qualitative theory of nonlinear diffusion equations, singular limit of reaction diffusion systems, blow-up of solutions of nonlinear heat equations (Key Word:nonlinear partial differential equations, reaction-diffusion system, qualitative theory, traveling wave)