Isamu Ohnishi

Last Updated :2025/11/10

Affiliations, Positions
Graduate School of Integrated Sciences for Life, Associate Professor
Web Site
E-mail
isamu_otoki.waseda.jp,kohnishihiroshima-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

  • Mathematics

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

  1. 2025, Liberal Arts Education Program1, 1Term, Introductory Seminar for First-Year Students
  2. 2025, Undergraduate Education, 3Term, Mathematics for Computation B
  3. 2025, Undergraduate Education, First Semester, Special Study of Mathematics and Informatics for Graduation
  4. 2025, Undergraduate Education, Second Semester, Special Study of Mathematics and Informatics for Graduation
  5. 2025, Graduate Education (Master's Program) , Year, Research for Academic Degree Dissertation in Mathematical and Life Sciences
  6. 2025, Graduate Education (Master's Program) , 2Term, Mathematical Analysis A
  7. 2025, Graduate Education (Master's Program) , 2Term, Topical Seminar in Mathematical Science A
  8. 2025, Graduate Education (Master's Program) , 4Term, Topical Seminar in Mathematical Science B
  9. 2025, Graduate Education (Master's Program) , First Semester, Exercises in Applied Mathematics and Computational Science A
  10. 2025, Graduate Education (Master's Program) , Second Semester, Exercises in Applied Mathematics and Computational Science B

Research Activities

Academic Papers

  1. ★, Lie Algebra Decoupling and Normal Forms for Differential Equations defined in Infinite Dimensional Hilbert Space with Quadratic Nonlinearities, Preprint, 20251108
  2. ★, Resonant Chaos and Schwinger-Like Excitations in Driven 1D Quantum Billiards: A Lindblad Approach to Self-Propelled Reflections and Vacuum Instabilities, Preprint, 20251107
  3. ★, Quantum Boundary Equilibrium Bifurcation: Schwinger-like Pair Production in Impacting QFT Hybrids, Preprint, 20251107
  4. ★, Topological Microphase Separation in 1D Diblock Copolymers via Jordan-Wigner Mapping: Quantum Field Simulation with Lindblad Dynamics and Lie-Trotter Time Evolution, Preprint, 20251105
  5. ★, Entanglement Transitions in Open KG-Dirac Systems: Quantum Hysteresis for Enhanced CO2 Reduction in Dissipative TI Hybrids, Preprint, 20251025
  6. ★, Magnetic Fractional Schrödinger Eigenvalue Optimization: A Quantum Field Theory Extension with Spontaneous Symmetry Breaking and Nambu-Goldstone Analogies, Preprint, 20251025
  7. ★, 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
  8. ★, 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
  9. ★, 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
  10. ★, Site Number Dependence of Hysteresis in Binary Memory Models via Renormalization Group Approach Application to CO2 Reduction Reaction, IJAMS, 20250903
  11. ★, 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
  12. ★, 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
  13. ★, DYNAMICAL APPROACH TO THE ISHITANI-ABE MODEL: S-MPC FOR IMPROVED CO2 PHOTOSYNTHESIS, international Journal of Advanced Mathematical Sciences, 20250905
  14. ★, 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
  15. ★, 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
  16. ★, Topological Hysteresis in Quantum Many-Body Systems: Applications of the SBM Model and MoS2, Preprint, 20250802
  17. ★, Symmetry Breaking and Universality in Quantum Many-Body Hysterisis for CO2 Reduction, Preprint, 20250801
  18. ★, Feedback Control and Stabilization in Nonlocal Cahn-Hilliard-Brinkman Systems, IJAMS, 20250730
  19. ★, Master Sound Control and Chaotic Synchronization in Ring-Coupled Duffing Oscillators for Multi-Speaker Acoustic Control: From Finite Chains to Continuum Limits, IJAMS, 20250712
  20. ★, Site Number Dependence of Hysteresis in Binary Memory Models via Renormalization Group Approach Application to CO2 Reduction Reaction, Preprint, 20250630
  21. ★, Competing Dynamics and Control Systems: Theoretical Analysis and Simulation Results, international Journal of Advanced Mathematical Sciences, 20250907
  22. ★, Stochastic Model Predictive Control of Cheer Spikes and Low-Frequency Noise in Outdoor Festivals, international Journal of Advanced Mathematical Sciences, 20250905
  23. 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
  24. ★, Comparative Analysis of Control Strategies for a Linear System with Noise: LQR, Kalman+LQR, SMC, and MPC, international Journal of Advanced Mathematical Sciences, 20250905
  25. ★, Stochastic Model Predictive Control of Cheer Spikes and Low-Frequency Noise in Outdoor Festivals, https://doi.org/10.14419/c1y1ch19, 20250525
  26. 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
  27. 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
  28. 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
  29. 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
  30. ★, Standard model of a binary digit of memory with multiple covalent modifications in a cell, J. of pure and applied math.,, 2(1), 2018
  31. ★, Characterization to behavior of time global solutions of a nonlinear parabolic equation with a certain jump term, Preprint
  32. Stability of a stationary solution for the Lugiato-Lefever equation, Tohoku Math. J., Vol. 63(No. 4), 651-663, 20111225
  33. Erratum: Stability of Stationary Solution for the Lugiato-Lefever Equation, Tohoku Math. J. (Accepted), 2020
  34. ★, A mathematical study of the one dimensional Keller and Rubinow model for Liesegang bands, J. Stat Phys, Vol.135, 107-132, 20090924
  35. Bifurcation analysis to Lugiato-Lefever equation in one space dimension, Physica D, Vol.239, 2066-2083, 20101115
  36. ★, Spectral comparison between the second and the fourth order equations of conservative type with non-local terms, JJIAM, 253-262, 19980430
  37. Symmetry other phenomena in the optimization of eigenvalues for composite membranes, CMP, 214, 315-337, 20000729
  38. ★, 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
  39. ★, Modified Hele-Shaw moving boundary problem related to some phase transition phenomena, Bull. Univ. Electro-Comm, 11(No. 1), 17-28, 19980930
  40. Spectral comparison between the second and the fourth order equations of conservative type with non-local terms, JJIAM, 15(No. 2), 253-262, 19980331
  41. ★, Some mathematical aspects of the micro-phase separation in diblock copolymers, Phys. D, 84(No. 1-2), 31-39, 19950505
  42. ★, Inertial manifolds for Burgers' original model system of turbulenc, Appl. Math. Lett, 7(No. 3), 33-37, 19940625
  43. 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)
  44. Dimension estimate of the global attractor for forced oscillation systems, JJIAM, 10(No. 3), 351-366, 19930530
  45. 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
  46. A billiard problem in nonlinear and nonequilibrium systems, Hiroshima Math. J, 37(No. 3), 343-384, 20070512
  47. Physarum can solve the shortest path problem on Riemannian surface mathematically rigorously, Int. J. P. Appl. Math, 47(No. 3), 353-369
  48. 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
  49. Standing pulse solutions for the FitzHugh-Nagumo equations, Japan J. Indust. Appl. Math., 20(No. 1), 315-337, 20000531
  50. Spectral comparison result and morphology for diblock copolymer problems, roceedings of the Second Japan-China Seminar, 14, 253-256, 19950615
  51. On global minimizes for a variational problem with non-local effect related to micro-phase separation, RIMS Report, 973, 171-176, 19960921
  52. ★, Characterization of the most stable stationary solution with fine structure in a certain nonlinear parabolic PDE, Preprint, 2020
  53. ★, On the multiple existence of steady states in the gradient theory of phase transitions, Bull. Univ. Electro-Comm., 7(No. 3), 157-166, 19940731
  54. 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
  55. Mathematical analysis to an adaptive network of the Plasmodium system, Hokkaido Math. J., Vol. 36(No. 2), 445-465, 20070523
  56. Computational ability of cells based on cell dynamics and adaptability, New Generation Computing, 27, 57-81, 20090531
  57. Numerical computations of free boundary problems in quadruple precision arithmetic using an explicit metho, GAKUTO Internat. Ser. Math. Sci. Appl., 11, 193-207, 19980531
  58. Mathematical analysis to coupled oscillators system with a conservation law, RIMS kokyuroku BESSATSU, B21, 129-147, 2010
  59. 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

  1. 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
  2. 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
  3. 2008, mathematical seminar, modeling, Evolution equation theory, Scholarly Book, Single work, Isamu Ohnishi

Invited Lecture, Oral Presentation, Poster Presentation

  1. 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)
  2. 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)
  3. 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
  4. Existence theorem and some properties of modified Keller-Rubinow system, Isamu Ohnishi, Annual meeting of Math. Soc. JAPAN (2019), 2019/03, Without Invitation, Japanese
  5. Existence theorem and some properties of modified Keller-Rubinow system by use of subdifferential, Isamu Ohnishi, 2018/12, Without Invitation, Japanese
  6. Standard model of a binary digit of memory with multiple covalent modifications in a cell, Isamu Ohnishi, 2018/09, Without Invitation, Japanese
  7. 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
  8. 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
  9. 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
  10. 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.

  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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

  1. 2025, American Journal of Applied Mathematics, Others, Reviewer, 1
  2. 2025, Journal of Comprehensive Pure and Applied Mathematics, Editor, Editor
  3. 2024, American Journal applied Mathematics, Editor, Editor, 1
  4. 2024, Communication Mathematical Physics, Others, Reviewer, 1