Kyushu University Academic Staff Educational and Research Activities Database
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Kaname Matsue Last modified date:2019.01.18

Personal database in Researchmap. .
Academic Degree
Dr. of Science
Country of degree conferring institution (Overseas)
Field of Specialization
Dynamical Systems, Numerical Analysis, Rigorous Numerics, Singular Perturbation Theory, Differential Equations (Blow-up Solutions, Shock Waves), Singularities, Quantum Walks, Topology Optimizations, Combustion
Total Priod of education and research career in the foreign country
Research Interests
  • Nature of premixed turbulent flames
    keyword : Premixed planar and spherical propagating flames, Darrieus-Landau instability, Michelson-Sivashinsky-type equation, hydrodynamic model, turbulent combustion
  • Various problems inspired by materials science
    keyword : Amorphous structured materials, crystals, minimal surface, discrete geometry, topology optimization, computational homology, structure preserving numerical method
  • Quantum walks : geometric aspects of dynamics
    keyword : quantum walks, simplicial complex, quantum search, spectral analysis
  • Finite-time singularities (blow-up solutions, extinction, quenching, canard) from the viewpoint of singularity theory with rigorous numerics, Shock waves and rigorous numerics
    keyword : blow-up, extinction, quenching, canard, shock waves, rigorous numerics, covering relations, Lyapunov functions, cone conditions
  • Geometric singular perturbation theory and rigorous numerics
    keyword : Fast-slow systems, rigorous numerics, geometric singular perturbation, isolating blocks and cones, covering relations
Academic Activities
1. Akihito Hirata, Kaname Matsue and MingWei Chen, Structural analysis of metallic glasses with computational homology, Springer, 2016.06.
1. Kaname Matsue, On blow-up solutions of differential equations with Poincare-type compactifications, SIAM Journal on Applied Dynamical Systems, doi:10.1137/17M1124498, 17, 2249-2288, 2018.08, [URL].
2. Kaname Matsue, Rigorous numerics for fast-slow systems with one-dimensional slow variable: topological shadowing approach, Topological Methods in Nonlinear Analysis, doi=, 50, 2, 357-468, 2017.12.
3. Kaname Matsue, Osamu Ogurisu and Etsuo Segawa, Quantum Search on Simplicial Complexes, Quantum Studies: Mathematics and Foundations,, 1-27, 2017.10.
4. Kaname Matsue, Osamu Ogurisu and Etsuo Segawa, A note on the spectral mapping theorem of quantum walk models, Interdisciplinary Information Sciences, 23, 105-114, 2017.03.
5. Kaname Matsue, Osamu Ogurisu and Etsuo Segawa, Quantum walks on simplicial complexes, Quantum Information Processing, 15, 5, 1865-1896, 2016.02.
6. Kaname Matsue, Hisashi Naito, Numerical studies of the optimization of the first eigenvalue of the heat diffusion in inhomogeneous media, Japan Journal of Industrial and Applied Mathematics, 32, 2, 489-512, 2015.10.
7. Akihiko Hirata, L.J. Kang, Takeshi Fujita, B. Klumov, Kaname Matsue, Motoko Kotani, A.R. Yavari and Mingwei Chen, Geometric frustration of icosahedron in metallic glasses, Science, 341, 6144, 376-379, 2013.07.
1. Kaname Matsue, Blow-up solutions for ODEs from the viewpoint of dynamical systems : theory and applications, HADES (Harmonic Analysis and Differential Equations Seminar), 2018.11.
2. Kaname Matsue, Rigorous numerics and asymptotic analysis of finite-time singularities : qualitative and quantitative natures , SCAN2018, 2018.09.
3. Walls and Doors : Dynamical Systems and Rigorous Numerics.
4. Kaname Matsue, Rigorous numerics of finite-time singularity for ODEs , EASIAM2018, 2018.06, [URL].
5. Kaname Matsue, Finite-time singularity for ODEs from the viewpoint of dynamical systems, EASIAM2018, 2018.06, [URL].
6. Kaname Matsue, Mathematical treatment of flame dynamics toward foundation of combustion, FMfI2017 (Forum of Mathematics for Industry), 2017.10.
7. Kaname Matsue, Rigorous numerics of blow-up solutions for autonomous ODEs, A3 workshop on Fluid Dynamics and Materials Science in CSIAM 2017, 2017.10.
8. , [URL].
9. Kaname Matsue, Mathematics in Combustion -Fundamentals and Trends- , I2CNER Hydrogen Materials Compatibility Research Division Summer Retreat 2017, 2017.06.
10. Kaname Matsue, Technology for New Energy Generation - Mathematics of Combustion - , I2CNER Site Visit, 2017.06.
Membership in Academic Society
  • Combustion Society of Japan
  • The Japan Society for Industrial and Applied Mathematics
  • Mathematical Society of Japan
Educational Activities
Exercise for freshmen and sophomores, and relay-style lectures for graduate students.