Professor OHTSUKA, Hiroshi
Faculty, Affiliation
Faculty of Mathematics and Physics, Institute of Science and Engineering
College and School Educational Field
Division of Mathematical and Physical Science, Graduate School of Natural Science and Technology
Division of Mathematical and Physical Sciences, Graduate School of Natural Science and Technology
Course in Mathematics, School of Mathematics and Physics, College of Science and Engineering
Laboratory
Academic Background
【Academic background(Doctoral/Master's Degree)】
Tokyo Institute of Technology Doctor 199703 Accomplished credits for doctoral program
【Academic background(Bachelor's Degree)】
The University of Tokyo 199003
【Degree】
Doctor of Science
Career
Kisarazu National College of Technology(2001/04/01-2003/09/30)
Kisarazu National College of Technology(2003/10/01-2006/03/31)
University of Miyazaki(2006/04/01-2007/03/31)
University of Miyazaki(2007/04/01-2012/03/31)
University of Miyazaki(2012/04/01-2013/03/31)
Kanazawa Univarsity(2013/04/01-)
Year & Month of Birth
Academic Society
The Mathematical Society of Japan
Award
Specialities
Mathematical analysis
Speciality Keywords
Variational Problems
Research Themes
Variational Problems relating to motion of vortices
Books
Papers
- Refinement of asymptotic behavior of the eigenvalues for the linearized Liouville-Gel'fand Problem Hiroshi Ohtsuka and Tomohiko Sato Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal 240 Paper No. 113464 9pp. 2024/03
- On the derivation of the mean field equation of the Gibbs distribution function for equilibrium vortices in an external field Hiroshi Ohtsuka Kôkyûroku Bessatsu B82 67--85 2020/04
- On the number of peaks of the eigenfunctions of the linearized Gel’fand problem Gladiali, Francesca; Grossi, Massimo; Ohtsuka, Hiroshi Annali di Matematica Pura ed Applicata 2016/02
- Local asymptotic nondegeneracy for multi-bubble solutions to the biharmonic Liouville-Gel'fand problem in dimension four Hiroshi Ohtsuka, Futoshi Takahashi Differential and Integral Equations 28 7-8 801-822 2015
- Morse indices of multiple blow-up solutions to the two-dimensional Gel'fand problem'', Communications in Partial Differential Equations Francesca Gladiali, Massimo Grossi, Hiroshi Ohtsuka, Takashi Suzuki Communications in Partial Differential Equations 39 11 2028-2063 2014/10/03
- On some properties of mean fields of equilibrium vortices described by the Hamiltonian Hiroshi Ohtsuka Fluid Dynamics Research 46 3 031422 2014/05/28
- Asymptotic non-degeneracy of multiple blowup solutions to the Liouville-Gel'fand problem with a non-constant coefficient sequence Hiroshi Ohtsuka, Tomohiko Sato, Takashi Suzuki JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 398 2 692--706 2013/02
- Asymptotic non-degeneracy of the multiple blow-up solutions to the Gel'fand problem in two space dimensions Massimo Grossi, Hiroshi Ohtsuka, Takashi Suzuki Advances in Differential Equations 16 1-2 145--164 2011/02
- Blow-up analysis for an elliptic equation describing stationary vortex flows with variable intensities in 2D-turbulence Hiroshi Ohtsuka, Tonia Ricciardi, Takashi Suzuki JOURNAL OF DIFFERENTIAL EQUATIONS 249 6 1436-1465 2010/09
- Local property of the mountain-pass critical point and the mean field equation Hiroshi Ohtsuka, Takashi Suzuki Differential Integral Equations 21 5-6 421-432 2008/06
- Blowup in infinite time in the simplified system of chemotaxis Hiroshi Ohtsuka，Takasi Senba，Takashi Suzuki Adv. Math. Sci. Appl. 17 2 445-472 2007/10
- Blow-up analysis for SU(3) Toda system Hiroshi Ohtsuka, Takashi Suzuki JOURNAL OF DIFFERENTIAL EQUATIONS 232 15 419-440 2007/01
- Mean field equation for the quilibrium turbulence and a related functional inequality Hiroshi Ohtsuka, Takashi Suzuki Advances in Differential Equations 11 3 281-304 2006/03
- Some existence results for solutions to SU(3) Toda system Dongho Chae, Hiroshi Ohtsuka, Takashi Suzuki Calc. Var. Partial Differ. Equ. 24 4 403-429 2005/12
- A blowup analysis to the mean field equation for arbitrarily signed vortices Hiroshi Ohtsuka, Takashi Suzuki BANACH CENTER PUBLICATIONS 74 185-197 2005/11
- Blow-up analysis for Liouville type equation in self-dual gauge field theories Hiroshi Ohtsuka, Takashi Suzuki COMMUNICATIONS IN CONTEMPORARY MATHEMATICS 7 2 177-205 2005/04
- An approach to regularize the vortex model Hiroshi Ohtsuka Proceedings of the 5th East Asia PDE Conference 245-264 2005/03
- Palais-Smale sequence relative to the Trudinger-Moser inequality Hiroshi Ohtsuka, Takashi Suzuki Calc. Var. Partial Differ. Equ. 17 235-255 2003/07
- A concentration phenomenon around a shrinking hole for solutions of mean field equations Hiroshi Ohtsuka OSAKA JOURNAL OF MATHEMATICS 39 395-407 2002/06
- On the evolution of a high-energy vorticity in an ideal fluid Hiroshi Ohtsuka Kyushu. J. Math. 53 37-58 1999/03
Conference Presentations
- Refinement of asymptotic behavior of the eigenvalues for the linearized Liouville-Gel'fand problem(2024/03/14)
- On the System of Equilibrium Vortices Perturbed by External Forces(2023/12/09)
- Mean field theory of vortices, revisited(conference：Functional Inequalities and Asymptotic Analysis of Nonlinear Elliptic Equations -On the Occasion of 60th birthday of Professor Futoshi Takahashi -)(2023/07/22)
- Hydrodynamic boundary value problems of mean field equations(2022/12/06)
- On a microscopic view of the stationary states of the elliptic-parabolic chemotaxis model(conference：First Franco-Japanese Workshop on Chemotaxis Models -- Macroscopic and Microscopic Viewpoints --)(2022/10/22)
- On the linear response of equilibrium vortices(conference：CASA Colloquim, Eindhoven University of Technology,)(2022/03/16)
- On the linear response of equilibrium vortices(2019/08/06)
- On the impulse response for solutions of two-dimensional Liouville type equations(2019/05/29)
- Local asymptotic nondegeneracy for multi-bubble solutions to the biharmonic Liouville-Gel'fand problem in dimension four(conference：Roma Caput PDE)(2017/01/24)
- On the behavior of eigenfunctions for the linearized Gel'fand problem(conference：7th Euro-Japanese Workshop on Blow-up)(2016/09/09)
- On the fine behaviors of the eigenvalues of the linearized Gel'fand problem and its applications(conference：2015 NCTS Workshop on Applied Mathematics)(2015/03/05)
- On the number of peaks of the eigenfunctions of the linearized Gel'fand problem(2014/11/05)
- On some mathematical role of the Hamiltonian of vortices(conference：European turbulence conference 14)(2013/09/01)
- Morse indices of multiple blow-up solutions to the two-dimensional Gel'fand problem(conference：Interfaces of Boltzmann-Poisson Equations - Analysis, Geometry, Physics)(2013/08/20)
- ２次元ゲルファント問題における爆発解析と点渦系のハミルトニアン(2013/06/19)
Others
- Hydrodynamic boundary value problem of mean field equations on annular domains Hiroshi Ohtsuka Elsevier Ltd 2251 74-82 2023/05
- On the fine behaviors of the eigenvalues of the linearized Gel'fand problem and its applications Hiroshi Ohtsuka 1974 53-67 2015/11
Arts and Fieldwork
Patent
Theme to the desired joint research
○Variational Problems
Grant-in-Aid for Scientific Research
○Grant-in-Aid for Scientific Research (C)「凝集系の視点による非線形楕円型偏微分方程式の解の解析」(2024-2027)
○Grant-in-Aid for Scientific Research (C)「平均場方程式の解の線形応答に関する数理解析」(2020-2023)
○Fund for the Promotion of Joint International Research (Fostering Joint International Research (B))「エネルギー勾配流の新潮流：数学理論が開く多様な現象と応用の世界」(2020-2024)
○「非線形楕円型方程式の線形化問題に関する新展開」(2015-2019)
○「近平衡数理モデルの解析的研究」(2014-2018)
○「平衡点渦系の平均場と点渦系の関連の探求」(2010-2014)
Competitive research funding,Contribution
Collaborative research,Consignment study
Classes (Bachelors)
○Analysis 4(2023)
○Basic Exercise in Mathematics and Physics B(2023)
○Basic Exercise in Mathematics and Physics A(2023)
○Introduction to Region-studies(2023)
○Basic Exercise in Mathematics and Physics A(2022)
○Basic Exercise in Mathematics and Physics B(2022)
○Analysis 4(2022)
○Introduction to Region-studies(2022)
○Differential and Integral Calculus 1B(2022)
○Differential and Integral Calculus 1A(2022)
○Differential and Integral Calculus 1B(2020)
○Differential and Integral Calculus 1A(2020)
○Advanced Calculus 3A(2020)
○Analysis 4(2020)
○Exercise in Mathematics and Physics B(2020)
○Exercise in Mathematics and Physics A(2020)
○Analysis 4(2019)
○Advanced Calculus 3A(2019)
○Differential and Integral Calculus 1(2019)
○Analysis 4C(2018)
○Differential and Integral Calculus 1(2018)
○Freshman Seminar I(2018)
○Introduction to Region-studies(2018)
○Community learning "Super" Experience Program(2017)
○Analysis 2A(2017)
○Analysis 2B(2017)
○Analysis 4C(2017)
○Advanced Calculus 1A(2017)
○Advanced Calculus 1B(2017)
○Differential and Integral Calculus 1(2016)
○Analysis 2B(2016)
○Analysis 2A(2016)
Classes (Graduate Schools)
○Special Topics in Mathematical Physics(2023)
○Topics on Mathematical and Data Science B(2020)
○Topics on Mathematical and Data Science A(2020)
○Analysis IIa(2020)
○Analysis IIb(2020)