Hiroshima University, Public Relations Group
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Faculty Information Details
All data is as of May 06, 2024.
- Ohnishi Isamu
- Associate Professor
| Affiliation | Graduate School of Integrated Sciences for Life |
|---|---|
| Discipline | Analysis |
| Academic Degrees |
The University of Tokyo Ph.D. (Mathematical Science) The University of Tokyo Master of Science |
| Research Fields |
Mathematical and physical sciences; Mathematics; Mathematical analysis |
| Research Keywords | Mathematical Biomedicine(part of Mathematical Analysis) / evolution equation theory / nonlinear PDE |
| Comments |
My specialty is "Mathematical Biomedicine as Pure Mathematical Science (Mathematical Analysis Part)" . Based on the following mathematics, while aiming to collaborate with biomedical researchers, this is an activity to create a win-win relationship with each other and contribute to each other's specialties. Therefore, the key to mediate both is "data analysis". This is, itself, a field of mathematical analysis, and at the same time, it plays an extremely important role in bridging between the so-called top-down type in which dynamics is described by nonlinear partial differential equations, etc. and the so-called bottom-down research that sheds light on the essential structure related to the function from experimental data, where the theoretical path from the mathematical structure to the function, and the theoretical behavior are investigated. , The students who study in my laboratory mainly learn top-down mathematical analysis methods, but at the same time, they also learn "data analysis" methods that are a bridge to the real world. But I would like to have it. Below is an explanation of the mathematical analysis part. 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. |
| Profiles of Faculty and Research Scholars |
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| Past media appearances | |
| Topic | |
| SDGs | |
| Educational Programs |
[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 |
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