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Kaname Matsue Last modified date:2019.06.29





E-Mail
Homepage
https://researchmap.jp/7000003451/?lang=english
Personal database in Researchmap. .
Phone
092-802-6664
Academic Degree
Dr. of Science
Country of degree conferring institution (Overseas)
No
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
00years07months
Research
Research Interests
  • Nature of premixed laminar, turbulent flames
    keyword : Premixed planar and spherical propagating flames, Darrieus-Landau instability, Michelson-Sivashinsky-type equation, hydrodynamic model, turbulent combustion, gravity effect
    2017.03.
  • Various problems inspired by materials science
    keyword : Amorphous structured materials, crystals, minimal surface, discrete geometry, topology optimization, computational homology, structure preserving numerical method
    2011.10.
  • Quantum walks : geometric aspects of dynamics
    keyword : quantum walks, simplicial complex, quantum search, spectral analysis
    2014.05.
  • 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
    2014.05.
  • Geometric singular perturbation theory and rigorous numerics
    keyword : Fast-slow systems, rigorous numerics, geometric singular perturbation, isolating blocks and cones, covering relations
    2014.09.
Academic Activities
Books
1. Akihito Hirata, Kaname Matsue and MingWei Chen, Structural analysis of metallic glasses with computational homology, Springer, 2016.06.
Papers
1. Kaname Matsue, Shikhar Mohan, Moshe Matalon, Effect of gravity on hydrodynamically unstable flames, The 12th Asia-Pacific Conference on Combustion, 2019.07, The hydrodynamic instability, due to the large deviation of density between fresh cold mixture and hot combusted products, was discovered by Darrieus and Landau. After seven or eight decades, many aspects of this intrinsic flame instability have been revealed, such as the effects of the flame front curvature and of flow strain rate, its influence on turbulent flames and the self-wrinkling and self-turbulization of expanding flames. In the present study we focus on the composite effects of thermal expansion, differential diffusion, and gravity on flame dynamics, based on a fully nonlinear, hydrodynamic model obtained by a multi-scale analysis that exploits the distinct length scales associated with such problems. The simulations verify the stabilization effect of gravity on planar flames propagating downwards, known from linear stability theory, and show that in the presence of gravity the nonlinear development beyond the stability threshold leads to cusp-like structures of smaller amplitude that propagate at a reduced speed. Finally, we observe that a judicious choice of the Markstein number, controlled by mixture composition and domain size, and of the Froude number creates richer morphological flame structures than in the absence of gravity..
2. 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].
3. Kaname Matsue, Rigorous numerics for fast-slow systems with one-dimensional slow variable: topological shadowing approach, Topological Methods in Nonlinear Analysis, doi=http://dx.doi.org/10.12775/TMNA.2016.072, 50, 2, 357-468, 2017.12.
4. Kaname Matsue, Osamu Ogurisu and Etsuo Segawa, Quantum Search on Simplicial Complexes, Quantum Studies: Mathematics and Foundations, https://doi.org/10.1007/s40509-017-0144-8, 1-27, 2017.10.
5. 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.
6. Kaname Matsue, Osamu Ogurisu and Etsuo Segawa, Quantum walks on simplicial complexes, Quantum Information Processing, 15, 5, 1865-1896, 2016.02.
7. 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.
8. 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.
Presentations
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
Educational Activities
Exercise for freshmen and sophomores, and relay-style lectures for graduate students (topic : mathematics in combustion).