## Basic Information

### Academic Degrees

- Ph.D. (Mathematical Science), The University of Tokyo
- Master of Science, The University of Tokyo

### In Charge of Primary Major Programs

- Mathematics

### Research Fields

- Mathematical and physical sciences;Mathematics;Mathematical analysis

### Research Keywords

- evolution equation theory
- nonlinear PDE

### Affiliated Academic Societies

- The Mathematical Society of Japan, 1991/10

## Educational Activity

### Course in Charge

- 2022, Liberal Arts Education Program1, 1Term, Introductory Seminar for First-Year Students
- 2022, Undergraduate Education, 3Term, Mathematics for Computation B
- 2022, Undergraduate Education, First Semester, Special Study of Mathematics and Informatics for Graduation
- 2022, Undergraduate Education, Second Semester, Special Study of Mathematics and Informatics for Graduation
- 2022, Graduate Education (Master's Program) , Academic Year, Research for Academic Degree Dissertation in Mathematical and Life Sciences
- 2022, Graduate Education (Master's Program) , 1Term, Exercises in Applied Mathematics and Computational Science A
- 2022, Graduate Education (Master's Program) , 2Term, Exercises in Applied Mathematics and Computational Science A
- 2022, Graduate Education (Master's Program) , 3Term, Exercises in Applied Mathematics and Computational Science B
- 2022, Graduate Education (Master's Program) , 4Term, Exercises in Applied Mathematics and Computational Science B
- 2022, Graduate Education (Master's Program) , 4Term, Mathematical Modeling D
- 2022, Graduate Education (Master's Program) , 2Term, Topical Seminar in Mathematical Science C
- 2022, Graduate Education (Master's Program) , 4Term, Topical Seminar in Mathematical Science D

## Research Activities

### Academic Papers

- 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

- 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