Isamu Oonishi

Last Updated :2020/12/01

Affiliations, Positions
Graduate School of Integrated Sciences for Life, Associate Professor
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
Evolutionary equation theory is the development of the mathematical theory of operators defined on an infinite dimensional function space. During the period of its theoretical development from the 1960s to the 1980s, the Japanese predecessors were energetic. It is an important field that has a history of being a part of that progress in work. Those who have a deep relationship with my research, or who have actually quoted me, are mainly working, including Hirohiro Tanabe, Hisaya Masuda, Yoshio Yamada, and Mitsuharu Otani. In particular, we use evolutionary equation theory for non-linear partial differential equation theory to solidify its main mathematical fields, and then carry out solid mathematical discussions with Chitin to prove the theorem, and in some cases Has been aiming to build theory. It is known that such a framework of abstract evolution equation theory has a very wide range of application. (For some of them, see the very pretty jobs of Dr. A. Friedman, Dr. J. S. Lions, etc.) For example, there is a history of great success in discussing the detailed nature of solutions in problems such as those described by abstract parabolic partial differential equation systems. The well-ordered mathematical clean framework and the importance of mathematical theory are of infinite importance here as well. For the last 10 years And have continued to research. Again, using the general theory of Prof. Hiroshiro Tanabe and the theory of Prof. JSLions to create a mathematical framework for the problem of interest, and to further develop an interesting solution of the problem resulting from its nonlinearity and asymmetry. We have obtained some results with the aim of making progress in the form of theorems based on mathematically exact proofs of properties. In the future, at the same time as refining the results, we are energetically advancing with a view to further generalization.

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

Educational Activity

Course in Charge

  1. 2020, Undergraduate Education, 3Term, Mathematics for Computation B
  2. 2020, Undergraduate Education, First Semester, Special Study of Mathematics and Informatics for Graduation
  3. 2020, Undergraduate Education, Second Semester, Special Study of Mathematics and Informatics for Graduation
  4. 2020, Graduate Education (Master's Program) , Academic Year, Research for Academic Degree Dissertation in Mathematical and Life Sciences
  5. 2020, Graduate Education (Master's Program) , 1Term, Exercises in Applied Mathematics and Computational Science A
  6. 2020, Graduate Education (Master's Program) , 2Term, Exercises in Applied Mathematics and Computational Science A
  7. 2020, Graduate Education (Master's Program) , 3Term, Exercises in Applied Mathematics and Computational Science B
  8. 2020, Graduate Education (Master's Program) , 4Term, Exercises in Applied Mathematics and Computational Science B
  9. 2020, Graduate Education (Master's Program) , 4Term, Mathematical Modeling D
  10. 2020, Graduate Education (Master's Program) , 2Term, Topical Seminar in Mathematical Science C
  11. 2020, Graduate Education (Master's Program) , 4Term, Topical Seminar in Mathematical Science D

Research Activities

Academic Papers

  1. ★, Characterization to behavior of time global solutions of a nonlinear parabolic equation with a certain jump term, Preprint
  2. ★, Characterization of the most stable stationary solution with fine structure in a certain nonlinear parabolic PDE, Preprint
  3. ★, A mathematical study of the one dimensional Keller and Rubinow model for Liesegang bands, J. Stat Phys, Vol.135, 107-132, 2009/09/24
  4. ★, Standard model of a binary digit of memory with multiple covalent modifications in a cell, J. of pure and applied math.,, 2(1), 2018
  5. ★, Some mathematical aspects of the micro-phase separation in diblock copolymers, Phys. D, 84(No. 1-2), 31-39, 1995/05/05
  6. ★, 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
  7. ★, Spectral comparison between the second and the fourth order equations of conservative type with non-local terms, JJIAM, 253-262, 1998/04/30
  8. ★, Inertial manifolds for Burgers' original model system of turbulenc, Appl. Math. Lett, 7(No. 3), 33-37, 1994/06/25
  9. Stability of a stationary solution for the Lugiato-Lefever equation, Tohoku Math. J., Vol. 63(No. 4), 651-663, 20111225
  10. Bifurcation analysis to Lugiato-Lefever equation in one space dimension, Physica D, Vol.239, 2066-2083, 2010/11/15
  11. Erratum: Stability of Stationary Solution for the Lugiato-Lefever Equation, Tohoku Math. J. (Accepted)
  12. 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
  13. On global minimizes for a variational problem with non-local effect related to micro-phase separation, RIMS Report, 973, 171-176, 1996/09/21
  14. Spectral comparison result and morphology for diblock copolymer problems, roceedings of the Second Japan-China Seminar, 14, 253-256, 1995/06/15
  15. Standing pulse solutions for the FitzHugh-Nagumo equations, Japan J. Indust. Appl. Math., 20(No. 1), 315-337, 2000/05/31
  16. 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
  17. Dimension estimate of the global attractor for forced oscillation systems, JJIAM, 10(No. 3), 351-366, 1993/5/30
  18. Mathematical analysis to coupled oscillators system with a conservation law, RIMS kokyuroku BESSATSU, B21, 129-147
  19. A Mathematical analysis to Liesegang ring as a radially symmetric solution in n-space dimensions, Proceeding of the 6th EASIAM and AMIC 2010, 6
  20. ★, 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
  21. 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
  22. Physarum can solve the shortest path problem on Riemannian surface mathematically rigorously, Int. J. P. Appl. Math, 47(No. 3), 353-369
  23. A billiard problem in nonlinear and nonequilibrium systems, Hiroshima Math. J, 37(No. 3), 343-384, 2007/05/12
  24. 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
  25. Computational ability of cells based on cell dynamics and adaptability, New Generation Computing, 27, 57-81, 2009/05/31
  26. 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
  27. 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
  28. 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)
  29. Mathematical analysis to an adaptive network of the Plasmodium system, Hokkaido Math. J., Vol. 36(No. 2), 445-465, 2007/05/23
  30. 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
  31. Symmetry other phenomena in the optimization of eigenvalues for composite membranes, CMP, 214, 315-337, 2000/07/29
  32. ★, Modified Hele-Shaw moving boundary problem related to some phase transition phenomena, Bull. Univ. Electro-Comm, 11(No. 1), 17-28, 1998/09/30
  33. 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

  1. 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. 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, 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