Isamu Ohnishi

Last Updated :2025/08/07

Affiliations, Positions
Graduate School of Integrated Sciences for Life, Associate Professor
Web Site
https://note.com/ohnishi_noli_pde/n/nefae1b2b7378
https://note.com/isamu_o0812/n/nf8d14e17ff38
https://www.youtube.com/@IsamuOhnishi/videos
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 the framework of mathematical physics and control theory, I am conducting research using the underlying applied dynamical systems. More specifically, I am focusing on the construction, development, and advancement of deterministic nonlinear control theory, such as actuators with hysteretic structures. Furthermore, I am deeply interested in MBPC (Model Based Predictive Control), which involves closed-loop dynamics that incorporate such nonlinearities and the resulting characteristic objects. In addition to the basics of calculus and linear algebra, students should also learn the basics of complex function theory, Laplace transforms, convex analysis and the calculus of variations, and the basics of differential equations and bifurcation theory by their second year. Control theory, which utilizes the knowledge acquired in mathematical science departments, particularly the Department of Control Engineering and Department of Mathematical Engineering in the Faculty of Engineering, is an extremely fascinating subject, from classical to cutting-edge theory. Recently, I have also been involved in industry-academia collaborations. In this context, I am formulating quantum mechanical many-body problems for problems that involve switching functions, such as artificial photosynthesis, CO2 reduction, and hydrogen-adsorbing alloys, and conducting theoretical mathematical physics research. I am eager to take on the challenge of interdisciplinary research and education in this field! I welcome ambitious students to take on the challenge.

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;Foundations of mathematics / Applied mathematics
  • Mathematical and physical sciences;Mathematics;Mathematical analysis

Research Keywords

  • Mathematical physics related to classical and quantum condensed matter
  • Applied Mathematics (Control Theory)
  • dynamical system (especially, the dynamical system underlying control theory )

Affiliated Academic Societies

  • Society for Industrial and applied Mathematics, 1993
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  • The Mathematical Society of Japan, 1991/10
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  • Japan Society for Industrial and Applied Mathematics (JSIAM)
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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. ★, Fluctuations in SBM-ODE: Impact of Langevin-Type Noise on Hysteresis in Classical and Quantum Versions for CO2 Reduction Catalysis, Preprint, 20250803
  2. ★, Topological Hysteresis in Quantum Many-Body Systems: Applications of the SBM Model and MoS2, Preprint, 20250802
  3. ★, Symmetry Breaking and Universality in Quantum Many-Body Hysterisis for CO2 Reduction, Preprint, 20250801
  4. ★, Feedback Control and Stabilization in Nonlocal Cahn-Hilliard-Brinkman Systems, Preprint, 20250730
  5. ★, Master Sound Control and Chaotic Synchronization in Ring-Coupled Duffing Oscillators for Multi-Speaker Acoustic Control: From Finite Chains to Continuum Limits, Preprint, 20250712
  6. ★, Site Number Dependence of Hysteresis in Binary Memory Models via Renormalization Group Approach Application to CO2 Reduction Reaction, Preprint, 20250630
  7. Competing Dynamics and Control Systems: Theoretical Analysis and Simulation Results, Preprint, 20250430
  8. ★, Stochastic Model Predictive Control of Cheer Spikes and Low-Frequency Noise in Outdoor Festivals, Preprint, 20250520
  9. 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
  10. ★, Comparative Analysis of Control Strategies for a Linear System with Noise: LQR, Kalman+LQR, SMC, and MPC, Preprint, 20250518
  11. ★, Stochastic Model Predictive Control of Cheer Spikes and Low-Frequency Noise in Outdoor Festivals, 20250525
  12. 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
  13. 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
  14. 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
  15. 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
  16. ★, Standard model of a binary digit of memory with multiple covalent modifications in a cell, J. of pure and applied math.,, 2(1), 2018
  17. ★, Characterization to behavior of time global solutions of a nonlinear parabolic equation with a certain jump term, Preprint
  18. Stability of a stationary solution for the Lugiato-Lefever equation, Tohoku Math. J., Vol. 63(No. 4), 651-663, 20111225
  19. Erratum: Stability of Stationary Solution for the Lugiato-Lefever Equation, Tohoku Math. J. (Accepted), 2020
  20. ★, A mathematical study of the one dimensional Keller and Rubinow model for Liesegang bands, J. Stat Phys, Vol.135, 107-132, 20090924
  21. Bifurcation analysis to Lugiato-Lefever equation in one space dimension, Physica D, Vol.239, 2066-2083, 20101115
  22. ★, Spectral comparison between the second and the fourth order equations of conservative type with non-local terms, JJIAM, 253-262, 19980430
  23. Symmetry other phenomena in the optimization of eigenvalues for composite membranes, CMP, 214, 315-337, 20000729
  24. ★, 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
  25. ★, Modified Hele-Shaw moving boundary problem related to some phase transition phenomena, Bull. Univ. Electro-Comm, 11(No. 1), 17-28, 19980930
  26. Spectral comparison between the second and the fourth order equations of conservative type with non-local terms, JJIAM, 15(No. 2), 253-262, 19980331
  27. ★, Some mathematical aspects of the micro-phase separation in diblock copolymers, Phys. D, 84(No. 1-2), 31-39, 19950505
  28. ★, Inertial manifolds for Burgers' original model system of turbulenc, Appl. Math. Lett, 7(No. 3), 33-37, 19940625
  29. 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)
  30. Dimension estimate of the global attractor for forced oscillation systems, JJIAM, 10(No. 3), 351-366, 19930530
  31. 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
  32. A billiard problem in nonlinear and nonequilibrium systems, Hiroshima Math. J, 37(No. 3), 343-384, 20070512
  33. Physarum can solve the shortest path problem on Riemannian surface mathematically rigorously, Int. J. P. Appl. Math, 47(No. 3), 353-369
  34. 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
  35. Standing pulse solutions for the FitzHugh-Nagumo equations, Japan J. Indust. Appl. Math., 20(No. 1), 315-337, 20000531
  36. Spectral comparison result and morphology for diblock copolymer problems, roceedings of the Second Japan-China Seminar, 14, 253-256, 19950615
  37. On global minimizes for a variational problem with non-local effect related to micro-phase separation, RIMS Report, 973, 171-176, 19960921
  38. ★, Characterization of the most stable stationary solution with fine structure in a certain nonlinear parabolic PDE, Preprint, 2020
  39. ★, On the multiple existence of steady states in the gradient theory of phase transitions, Bull. Univ. Electro-Comm., 7(No. 3), 157-166, 19940731
  40. 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
  41. Mathematical analysis to an adaptive network of the Plasmodium system, Hokkaido Math. J., Vol. 36(No. 2), 445-465, 20070523
  42. Computational ability of cells based on cell dynamics and adaptability, New Generation Computing, 27, 57-81, 20090531
  43. Numerical computations of free boundary problems in quadruple precision arithmetic using an explicit metho, GAKUTO Internat. Ser. Math. Sci. Appl., 11, 193-207, 19980531
  44. Mathematical analysis to coupled oscillators system with a conservation law, RIMS kokyuroku BESSATSU, B21, 129-147, 2010
  45. 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. 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
  2. Existence theorem and some properties of modified Keller-Rubinow system, Isamu Ohnishi, Annual meeting of Math. Soc. JAPAN (2019), 2019/03, Without Invitation, Japanese
  3. Existence theorem and some properties of modified Keller-Rubinow system by use of subdifferential, Isamu Ohnishi, 2018/12, Without Invitation, Japanese
  4. Standard model of a binary digit of memory with multiple covalent modifications in a cell, Isamu Ohnishi, 2018/09, Without Invitation, Japanese
  5. 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
  6. 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
  7. 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
  8. 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
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  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
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  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
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  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
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  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
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  6. 研究の軌跡とこれからへ向けての布石, 2021/07, Educational Materials
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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