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Researcher Information

last modified:2017/05/23

Professor OHTSUKA, Hiroshi

Mail Laboratory Website

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

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

  •  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
  •  On some properties of mean fields of equilibrium vortices described by the Hamiltonian Hiroshi Ohtsuka Fluid Dynamics Research 46 3 031422 2014/05/28
  •  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
  •  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

show all

  •  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

Arts and Fieldwork

Patent

Theme to the desired joint research

Grant-in-Aid for Scientific Research

Classes (Bachelors)

○Advanced Calculus 1B(2017)
○Advanced Calculus 1A(2017)
○Analysis 4C(2017)
○Analysis 2B(2017)
○Analysis 2A(2017)
○Differential and Integral Calculus 1(2016)
○Analysis 2B(2016)
○Analysis 2A(2016)

Classes (Graduate Schools)

○Seminar A(2017)
○Special Topics in Mathematical Physics(2017)
○Special Topics in Mathematical Physics(2017)
○Special Topics in Mathematical Physics(2017)
○Special Topics in Mathematical Physics(2017)
○Exercise A(2017)
○Research Work A(2017)
○Research Work A(2016)
○Seminar A(2016)
○Exercise A(2016)

International Project

International Students

Lecture themes

Others (Social Activities)

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