## 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

- 2020, Undergraduate Education, 3Term, Mathematics for Computation B
- 2020, Undergraduate Education, First Semester, Special Study of Mathematics and Informatics for Graduation
- 2020, Undergraduate Education, Second Semester, Special Study of Mathematics and Informatics for Graduation
- 2020, Graduate Education (Master's Program) , Academic Year, Research for Academic Degree Dissertation in Mathematical and Life Sciences
- 2020, Graduate Education (Master's Program) , 1Term, Exercises in Applied Mathematics and Computational Science A
- 2020, Graduate Education (Master's Program) , 2Term, Exercises in Applied Mathematics and Computational Science A
- 2020, Graduate Education (Master's Program) , 3Term, Exercises in Applied Mathematics and Computational Science B
- 2020, Graduate Education (Master's Program) , 4Term, Exercises in Applied Mathematics and Computational Science B
- 2020, Graduate Education (Master's Program) , 4Term, Mathematical Modeling D
- 2020, Graduate Education (Master's Program) , 2Term, Topical Seminar in Mathematical Science C
- 2020, Graduate Education (Master's Program) , 4Term, Topical Seminar in Mathematical Science D

## Research Activities

### Academic Papers

- ★, Characterization to behavior of time global solutions of a nonlinear parabolic equation with a certain jump term, Preprint
- ★, Characterization of the most stable stationary solution with fine structure in a certain nonlinear parabolic PDE, Preprint
- ★, A mathematical study of the one dimensional Keller and Rubinow model for Liesegang bands, J. Stat Phys, Vol.135, 107-132, 2009/09/24
- ★, Standard model of a binary digit of memory with multiple covalent modifications in a cell, J. of pure and applied math.,, 2(1), 2018
- ★, Some mathematical aspects of the micro-phase separation in diblock copolymers, Phys. D, 84(No. 1-2), 31-39, 1995/05/05
- ★, Analytical solutions describing the phase separation driven by a free energy functional containing a long-range interaction term, Chaos, 9(No. 2), 329-341, 1999/05/21
- ★, Spectral comparison between the second and the fourth order equations of conservative type with non-local terms, JJIAM, 253-262, 1998/04/30
- ★, Inertial manifolds for Burgers' original model system of turbulenc, Appl. Math. Lett, 7(No. 3), 33-37, 1994/06/25
- Stability of a stationary solution for the Lugiato-Lefever equation, Tohoku Math. J., Vol. 63(No. 4), 651-663, 20111225
- Bifurcation analysis to Lugiato-Lefever equation in one space dimension, Physica D, Vol.239, 2066-2083, 2010/11/15
- Erratum: Stability of Stationary Solution for the Lugiato-Lefever Equation, Tohoku Math. J. (Accepted)
- 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
- On global minimizes for a variational problem with non-local effect related to micro-phase separation, RIMS Report, 973, 171-176, 1996/09/21
- Spectral comparison result and morphology for diblock copolymer problems, roceedings of the Second Japan-China Seminar, 14, 253-256, 1995/06/15
- Standing pulse solutions for the FitzHugh-Nagumo equations, Japan J. Indust. Appl. Math., 20(No. 1), 315-337, 2000/05/31
- 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, 1992/12/15
- Dimension estimate of the global attractor for forced oscillation systems, JJIAM, 10(No. 3), 351-366, 1993/5/30
- Mathematical analysis to coupled oscillators system with a conservation law, RIMS kokyuroku BESSATSU, B21, 129-147
- A Mathematical analysis to Liesegang ring as a radially symmetric solution in n-space dimensions, Proceeding of the 6th EASIAM and AMIC 2010, 6
- ★, On the multiple existence of steady states in the gradient theory of phase transitions, Bull. Univ. Electro-Comm., 7(No. 3), 157-166, 1994/07/31
- 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
- Physarum can solve the shortest path problem on Riemannian surface mathematically rigorously, Int. J. P. Appl. Math, 47(No. 3), 353-369
- A billiard problem in nonlinear and nonequilibrium systems, Hiroshima Math. J, 37(No. 3), 343-384, 2007/05/12
- 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, 2008/09/22
- Computational ability of cells based on cell dynamics and adaptability, New Generation Computing, 27, 57-81, 2009/05/31
- 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, 1995/4/30
- 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, 2017 8 15
- 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)
- Mathematical analysis to an adaptive network of the Plasmodium system, Hokkaido Math. J., Vol. 36(No. 2), 445-465, 2007/05/23
- Spectral comparison between the second and the fourth order equations of conservative type with non-local terms, JJIAM, 15(No. 2), 253-262, 1998/03/31
- Symmetry other phenomena in the optimization of eigenvalues for composite membranes, CMP, 214, 315-337, 2000/07/29
- ★, Modified Hele-Shaw moving boundary problem related to some phase transition phenomena, Bull. Univ. Electro-Comm, 11(No. 1), 17-28, 1998/09/30
- Numerical computations of free boundary problems in quadruple precision arithmetic using an explicit metho, GAKUTO Internat. Ser. Math. Sci. Appl., 11, 193-207, 1998/05/31

### Publications such as books

- 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
- 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, 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