Isamu Ohnishi
Last Updated :2025/11/10
- Affiliations, Positions
- Graduate School of Integrated Sciences for Life, Associate Professor
- Web Site
- E-mail
- isamu_o
toki.waseda.jp,kohnishi
hiroshima-u.ac.jp,
- Other Contact Details
- 1-3-1, Kagamiyama, Higashi-Hiroshima, Japan
TEL : (+81)82-424-7374 FAX : (+81)82-424-7327
- Self-introduction
- Title: Mathematical Physics at the Intersection of Control Engineering and Mathematical Science!
Content: As a culmination of my research and education to date, I am pursuing the catchphrase "Mathematical Physics at the Intersection of Control Engineering and Mathematical Science!"
Under this slogan, I am conducting research within the framework of mathematical physics and control theory, using the tools of applied dynamical systems that underlie them. More specifically, within the framework of quantum mechanical many-body problems, I am using Quantum Field Theoretic (both applied mathematics and applied mathematical) techniques to understand and control the electronic states of alloy surfaces used in artificial photosynthesis and hydrogen storage. I am also interested in industry-academia collaboration within this framework. I would like to take on the challenge of interdisciplinary research and education in this area! I also welcome motivated students to take on the challenge.
It has been over 15 years since I last worked with biology and life phenomena, or medical, dental, pharmaceutical, or ecological fields. For the past 10 years, my specialty has been mathematical physics, control theory, and the applied dynamical systems that underlie them. I summarize it as follows: This may be quoted as (***)!
Basic Information
Educational Backgrounds
- The University of Tokyo, Graduate School, Division of Mathematical Sciences, Dept. of Mathematical Science, Japan, 1991/04, 1994/03
- University of Tokyo, Graduate School of Science, Dept. of Math.,, Japan, 1989/04, 1991/03
- Waseda university, faculty of science, Dept. of Math.,, JAPAN, 1985/04/01, 1989/03/15
Academic Degrees
- Ph.D. (Mathematical Science), The University of Tokyo
- Master of Science, The University of Tokyo
Educational Activity
- [Bachelor Degree Program] School of Science : Mathematics : Mathematics
- [Master's Program] Graduate School of Integrated Sciences for Life : Division of Integrated Sciences for Life : Program of Mathematical and Life Sciences
- [Doctoral Program] Graduate School of Integrated Sciences for Life : Division of Integrated Sciences for Life : Program of Mathematical and Life Sciences
In Charge of Primary Major Programs
Research Fields
- Mathematical and physical sciences;Physics;Mathematical physics / Fundamental condensed matter physics
- Mathematical and physical sciences;Mathematics;Mathematical analysis
- Mathematical and physical sciences;Mathematics;Foundations of mathematics / Applied mathematics
Research Keywords
- Mathematical physics related to quantum and classical condensed matter
- applied dynamical system (especially, the dynamical system underlying quantum or classical material physics or control theory's dynamics )
- Applied Mathematics (Control Theory)
Affiliated Academic Societies
- Society for Industrial and applied Mathematics, 1993
- The Mathematical Society of Japan, 1991/10
- Japan Society for Industrial and Applied Mathematics (JSIAM)
Educational Activity
Course in Charge
- 2025, Liberal Arts Education Program1, 1Term, Introductory Seminar for First-Year Students
- 2025, Undergraduate Education, 3Term, Mathematics for Computation B
- 2025, Undergraduate Education, First Semester, Special Study of Mathematics and Informatics for Graduation
- 2025, Undergraduate Education, Second Semester, Special Study of Mathematics and Informatics for Graduation
- 2025, Graduate Education (Master's Program) , Year, Research for Academic Degree Dissertation in Mathematical and Life Sciences
- 2025, Graduate Education (Master's Program) , 2Term, Mathematical Analysis A
- 2025, Graduate Education (Master's Program) , 2Term, Topical Seminar in Mathematical Science A
- 2025, Graduate Education (Master's Program) , 4Term, Topical Seminar in Mathematical Science B
- 2025, Graduate Education (Master's Program) , First Semester, Exercises in Applied Mathematics and Computational Science A
- 2025, Graduate Education (Master's Program) , Second Semester, Exercises in Applied Mathematics and Computational Science B
Research Activities
Academic Papers
- ★, Lie Algebra Decoupling and Normal Forms for Differential
Equations defined in Infinite Dimensional Hilbert Space
with Quadratic Nonlinearities, Preprint, 20251108
- ★, Resonant Chaos and Schwinger-Like Excitations in
Driven 1D Quantum Billiards: A Lindblad Approach
to Self-Propelled Reflections and Vacuum Instabilities, Preprint, 20251107
- ★, Quantum Boundary Equilibrium Bifurcation:
Schwinger-like Pair Production in Impacting QFT
Hybrids, Preprint, 20251107
- ★, Topological Microphase Separation in 1D Diblock
Copolymers via Jordan-Wigner Mapping: Quantum
Field Simulation with Lindblad Dynamics and
Lie-Trotter Time Evolution, Preprint, 20251105
- ★, Entanglement Transitions in Open KG-Dirac Systems: Quantum Hysteresis for Enhanced CO2 Reduction in Dissipative TI Hybrids, Preprint, 20251025
- ★, Magnetic Fractional Schrödinger Eigenvalue Optimization: A Quantum Field Theory Extension with Spontaneous Symmetry Breaking and Nambu-Goldstone Analogies, Preprint, 20251025
- ★, Spin-Polarized Quantum Many-Body Hysteresis in MOF/TI Hybrids: Rigorous RG Analysis with KG-Dirac Coupling for CO2 Reduction, Hydrogen Storage, and Relativistic Quantum Information, Preprint, 20251018
- ★, Spontaneous Symmetry Breaking in Fractional Eigenvalue Optimization for Composite Membranes:
A Quantum Field Theory Extension via Renormalization Group Methods and
Nambu-Goldstone Analogies, Preprint, 20251022
- ★, Quantum Klein-Gordon model of Quantum
Many-Body Hysteresis in Topological Insulators for
Hydrogen Switching in Mg-Ni Alloys and CO2
Reduction Catalysis, Preprint, arXiv submission : 6836576(arXiv submission : 6836576), 20250928
- ★, Site Number Dependence of Hysteresis in Binary Memory Models via Renormalization Group Approach Application to CO2 Reduction Reaction, IJAMS, 20250903
- ★, Renormalization Group Reduction of Nonlinear
Klein-Gordon Equation to Complex Ginzburg-Landau
for Hydrogen Storage Dynamics in Mg-Ni Alloys, Preprint (http://dx.doi.org/10.2139/ssrn.5490827, 20250901
- ★, Rigorous Renormalization Group Analysis of Quantum Many-Body Hysteresis in Topological Insulators: Applications to Hydrogen Switching and CO_2 Reduction Catalysis, Preprint, https://ssrn.com/abstract=5490827 or http://dx.doi.org/10.2139/ssrn.5490827(https://ssrn.com/abstract=5490827 or http://dx.doi.org/10.2139/ssrn.5490827), 20250910
- ★, DYNAMICAL APPROACH TO THE ISHITANI-ABE MODEL: S-MPC FOR IMPROVED CO2 PHOTOSYNTHESIS, international Journal of Advanced Mathematical Sciences, 20250905
- ★, Topological Insulator Dynamics with Hydrogen On-Off Switching: Capacity Improvement by MPC method via Chiba Rigorous Renormalization Group
in view of Control theory, American J. Engineering Research, 20250926
- ★, Rigorous Analysis of Langevin Noise Effects on Hysteresis in Simplified Binary Memory Models: Classical and Quantum Dynamics for CO2 Reduction Catalysis, Preprint (arXiv submission /6829258, 20250925
- ★, Topological Hysteresis in Quantum Many-Body
Systems: Applications of the SBM Model and MoS2, Preprint, 20250802
- ★, Symmetry Breaking and Universality in Quantum
Many-Body Hysterisis for CO2 Reduction, Preprint, 20250801
- ★, Feedback Control and Stabilization in Nonlocal
Cahn-Hilliard-Brinkman Systems, IJAMS, 20250730
- ★, Master Sound Control and Chaotic Synchronization in Ring-Coupled Duffing Oscillators for Multi-Speaker Acoustic Control: From Finite Chains to Continuum Limits, IJAMS, 20250712
- ★, Site Number Dependence of Hysteresis in Binary Memory Models via Renormalization Group Approach Application to CO2 Reduction Reaction, Preprint, 20250630
- ★, Competing Dynamics and Control Systems: Theoretical Analysis and Simulation Results, international Journal of Advanced Mathematical Sciences, 20250907
- ★, Stochastic Model Predictive Control of Cheer Spikes and Low-Frequency Noise in Outdoor Festivals, international Journal of Advanced Mathematical Sciences, 20250905
- A Simple Stability Conjecture and Proofs to Lower Dimensional Phase Spaces Examples for Discrete Time Systems Applications to PID control Theory, Journal of Comprehensive Pure and Applied Mathematics, Vol.3 issue.1, 20250518
- ★, Comparative Analysis of Control Strategies for a Linear System with Noise: LQR, Kalman+LQR, SMC, and MPC, international Journal of Advanced Mathematical Sciences, 20250905
- ★, Stochastic Model Predictive Control of Cheer Spikes and Low-Frequency Noise in Outdoor Festivals, https://doi.org/10.14419/c1y1ch19, 20250525
- A mathematically scientific study of cyanobacterias circadian rhythm based on induced memory by hysteresis structure of covalent modification as self-feedforward auto-control system, American Journal of Engineering Research, Volume-13(Issue-6), 38-42, 20240611
- Memory, hysteresis and oscillation induced by multiple covalent modifications and its application to circadian rhythm of Cyanobacteria, Research Report in RIMS of Kyoto University, 1616, 144-156, 2008
- Memory reinforcement with scale effect and its application to mutual symbioses among terrestrial cyanobacteria of Nostochineae, feather mosses and old trees in boreal biome in boreal forests, Global Science Chronicle, 1(1), 1-7, 20170815
- A binary digit of memory induced by multiple covalent modifications and its application to molecular rhythm (Mathematical Aspects for nonlinear problems related to Life-phenomena), RIMS Kokyuroku, 1616, 145-154, 200810
- ★, Standard model of a binary digit of memory with multiple covalent modifications in a cell, J. of pure and applied math.,, 2(1), 2018
- ★, Characterization to behavior of time global solutions of a nonlinear parabolic equation with a certain jump term, Preprint
- Stability of a stationary solution for the Lugiato-Lefever equation, Tohoku Math. J., Vol. 63(No. 4), 651-663, 20111225
- Erratum: Stability of Stationary Solution for the Lugiato-Lefever Equation, Tohoku Math. J. (Accepted), 2020
- ★, A mathematical study of the one dimensional Keller and Rubinow model for Liesegang bands, J. Stat Phys, Vol.135, 107-132, 20090924
- Bifurcation analysis to Lugiato-Lefever equation in one space dimension, Physica D, Vol.239, 2066-2083, 20101115
- ★, Spectral comparison between the second and the fourth order equations of conservative type with non-local terms, JJIAM, 253-262, 19980430
- Symmetry other phenomena in the optimization of eigenvalues for composite membranes, CMP, 214, 315-337, 20000729
- ★, Analytical solutions describing the phase separation driven by a free energy functional containing a long-range interaction term, Chaos, 9(No. 2), 329-341, 19990521
- ★, Modified Hele-Shaw moving boundary problem related to some phase transition phenomena, Bull. Univ. Electro-Comm, 11(No. 1), 17-28, 19980930
- Spectral comparison between the second and the fourth order equations of conservative type with non-local terms, JJIAM, 15(No. 2), 253-262, 19980331
- ★, Some mathematical aspects of the micro-phase separation in diblock copolymers, Phys. D, 84(No. 1-2), 31-39, 19950505
- ★, Inertial manifolds for Burgers' original model system of turbulenc, Appl. Math. Lett, 7(No. 3), 33-37, 19940625
- A note of the existence of nonconstant critical points of free energy functionals in the gradient theory of phase transitions, Adv. Math. Sci. Appl., 4(No. 2)
- Dimension estimate of the global attractor for forced oscillation systems, JJIAM, 10(No. 3), 351-366, 19930530
- Dimension estimate of the global attractor for resonant motion of a spherical pendulum, Proc. Japan Acad. Ser. A Math. Sci., 68(No. 9), 302-306, 19921215
- A billiard problem in nonlinear and nonequilibrium systems, Hiroshima Math. J, 37(No. 3), 343-384, 20070512
- Physarum can solve the shortest path problem on Riemannian surface mathematically rigorously, Int. J. P. Appl. Math, 47(No. 3), 353-369
- Failure to the shortest path decision of an adaptive transport network with double edges in Plasmodium system, International J. Dyn. Sys. Diff. Eqn., Vol. 1(No. 3), 210-219, 20080922
- Standing pulse solutions for the FitzHugh-Nagumo equations, Japan J. Indust. Appl. Math., 20(No. 1), 315-337, 20000531
- Spectral comparison result and morphology for diblock copolymer problems, roceedings of the Second Japan-China Seminar, 14, 253-256, 19950615
- On global minimizes for a variational problem with non-local effect related to micro-phase separation, RIMS Report, 973, 171-176, 19960921
- ★, Characterization of the most stable stationary solution with fine structure in a certain nonlinear parabolic PDE, Preprint, 2020
- ★, On the multiple existence of steady states in the gradient theory of phase transitions, Bull. Univ. Electro-Comm., 7(No. 3), 157-166, 19940731
- Existence and instability of steady states in phase transition in a thin plate with non-local self-stress effects, Bull. Univ. Electro-Comm., 8(No. 1), 53-58, 19950430
- Mathematical analysis to an adaptive network of the Plasmodium system, Hokkaido Math. J., Vol. 36(No. 2), 445-465, 20070523
- Computational ability of cells based on cell dynamics and adaptability, New Generation Computing, 27, 57-81, 20090531
- Numerical computations of free boundary problems in quadruple precision arithmetic using an explicit metho, GAKUTO Internat. Ser. Math. Sci. Appl., 11, 193-207, 19980531
- Mathematical analysis to coupled oscillators system with a conservation law, RIMS kokyuroku BESSATSU, B21, 129-147, 2010
- A Mathematical analysis to Liesegang ring as a radially symmetric solution in n-space dimensions, Proceeding of the 6th EASIAM and AMIC 2010, 6
Publications such as books
- 2005, The Algorithmic Beauty of Sea Shell (H. Meinhardt), Book Review, Book Review, Nonlinear PDE, Nihon Hyouron Sha, 2005, Scholarly Book, Single work, 日本語, Isamu Ohnishi
- 2003, Nonlinear Analysis to Pattern formation –Liesegang phenomena, in Japanese, nonlinear PDE, Nihon Hyouron Sha, 2003, Scholarly Book, Single work, 日本語, Isamu Ohnishi
- 2008, mathematical seminar, modeling, Evolution equation theory, Scholarly Book, Single work, Isamu Ohnishi
Invited Lecture, Oral Presentation, Poster Presentation
- Stochastic Model Predictive Control of Cheer Spikes
and Low-Frequency Noise in Outdoor Festivals, Isamu Ohnishi, Anuual meeting of JSM
(Annual meeting of JSIAM), 2025/09/19, Without Invitation, Japanese, Japan Mathematical sciety
(JSIAM), Nagoya University
(Tokyo University of Science)
- Comparative Analysis of Control Strategies for Noisy Linear Systems:
Optimal Horizon Selection for MPC, Isamu Ohnishi, Mathematical society of Japan (2025, autumn annual meeting)
JSIAM (2025, Autumn annual meeting), 2025/09/19, Without Invitation, Japanese, Japan Mathematical Society
(JSIAM), Nagoya University
(Tokyo University of Science)
- Structure of steady state solutions of a type of nonlinear parabolic PDE system and evolution equations, Isamu Ohnishi, Hatten Houteisiki Kenkyuukai, 2019/12/24, Without Invitation, Japanese, Japan Wemens university
- Existence theorem and some properties of modified Keller-Rubinow system, Isamu Ohnishi, Annual meeting of Math. Soc. JAPAN (2019), 2019/03, Without Invitation, Japanese
- Existence theorem and some properties of modified Keller-Rubinow system by use of subdifferential, Isamu Ohnishi, 2018/12, Without Invitation, Japanese
- Standard model of a binary digit of memory with multiple covalent modifications in a cell, Isamu Ohnishi, 2018/09, Without Invitation, Japanese
- micro-structure of the most stable steady state of Turing Pattern, Isamu Ohnishi, Kansuu-Houteisiki-Bunkakai,
Shuuki-Sougou-Bunkakai,
Mathmatical Society of Japan, 2019/09/17, Without Invitation, Japanese, Mathematical society of Japan, Kanazawa University
- mathematical analysis for one-dimensional Keller-Rubinow model in Liesegang phenomena, Isamu Ohnishi, R. v.d. Hout,
D. Hilhorst,
M. Mimura, soukai Math Soc. JAPAN 2018 Sep., Without Invitation, Japanese
- Memory reinforcement with scale effect and its application to mutual symbioses among terrestrial cyanobacteria of Nostochineae, feather moss and old trees in boreal forests, Isamu Ohnishi, nothing, The 7th EAFES, 2016/04/20, Without Invitation, English, EAFES, Daegu, Korea
- A binary digit of memory induced by multiple covalent modifications and its application to molecular rhythm, Isamu Ohnishi, Special lecture in Sep. Math. Soc. JAPAN, 2008/09, With Invitation, Japanese
Works, etc.
- ペンネームでの雑感想文, Isamu Ohnishi, I keep a record of my daily thoughts and impressions in the form of impressions and miscellaneous notes., 2023/04, 2024/03, note.com, The Others
- 講義の記録, Isamu Ohnishi, Formal lectures:
Lectures on Applied Mathematics A and Computational Mathematics B (30 lectures in total), a brief introduction to the specialty for third-year students (45 minutes), and an explanatory lecture for the graduation research assignment (just under 20 minutes) are available on YouTube., 2023/04, 2024/02, Hiroshima University, Educational Materials
- 講義資料, Isamu Ohnishi, Draft of lecture contents for "High school university mock lecture" related to high school-university collaboration, 2023/06, 2023/10, Kure-Mitsuta High-School
Mihara High School, Educational Materials
- 講義録(note.com), Isamu Ohnishi, https://note.com/isamu_o0812/n/nf8d14e17ff38
The notes summarizing the main points of the lectures have been compiled in a book format and published for 30 weeks., Lecture Hall in Hiroshima Univ.
https://note.com/isamu_o0812/n/nf8d14e17ff38, Educational Materials
- 講義録(3、4年生、修士学生用), Isamu Ohnishi, Lecture hall in Hiroshima Univ.
youtube:
https://www.youtube.com/channel/UCjSunsEjBrfkZP0IdXW62EA/videos, Educational Materials
- 研究の軌跡とこれからへ向けての布石, 2021/07, Educational Materials
Social Activities
History as Peer Reviews of Academic Papers
- 2025, American Journal of Applied Mathematics, Others, Reviewer, 1
- 2025, Journal of Comprehensive Pure and Applied Mathematics, Editor, Editor
- 2024, American Journal applied Mathematics, Editor, Editor, 1
- 2024, Communication Mathematical Physics, Others, Reviewer, 1