Achievements

Publications

Referred original articles

1. Yukihiro Seki, Yoshie Sugiyama, and Juan José López Velázquez, Multiple peak aggregations for the Keller-Sgel system, Nonlinearity, 26 (2013) 319-352.
2. Yoshikazu Giga, Yukihiro Seki, and Noriaki Umeda, On decay rate of quenching prole at space innity for axisymmetric Mean curvature flow, Discrete Contin. Dyn. Syst., 29 (2011), 1463-1470.
3. Yukihiro Seki, On exact dead-core rates for a semilinear heat equation with strong absorption, Comm. Contemp. Math., 13 (2011), 1-52.
4. Yoshikazu Giga, Yukihiro Seki, and Noriaki Umeda, Mean curvature flow closes open ends of noncompact surfaces of rotation, Comm. Partial Differential Equations, 34 (2009), 1508-1529.
5. Yukihiro Seki, On directional blow-up for quasilinear parabolic equations with fast diffusion, J. Math. Anal. Appl., 338 (2008), 572-587.
6. Yukihiro Seki, Ryuichi Suzuki, and Noriaki Umeda, Blow-up directions for quasilinear parabolic equations, Proc. Roy. Soc. Edinburgh Sect. A, 138 (2008), 379-405.

Referred proceedings

1. Yukihiro Seki, A remark on blow-up at space innity, Discrete Contin. Dyn. Syst. 2009, Dynamical Systems, Differential Equations and Applications. 7th AIMS Conference, suppl., 691-696
2. Yoshikazu Giga, Yukihiro Seki, and Noriaki Umeda, Blow-up at space innity for nonlinear heat equations, Recent Advances in Nonlinear Analysis, World Scientic Publishing, New Jersey, Hackensack, NJ, 2008, 77-94.

Thesis

1. Ph.D. Thesis, "On behavior of solutions near singularities for nonlinear diffusion equations",
   University of Tokyo, March 2009.

1.4 Other publications

1. Yukihiro Seki, Yoshie Sugiyama, and Juan José López Velázquez, Multiple points blow-up for the Keller-Segel system, 数理解析研究所講究録, 1892, 21-28.
2. Yukihiro Seki, Type II blow-up mechanisms in the Fujita equation, in preparation.
3. Yukihiro Seki, Type II blow-up for general semilinear heat equations, in preparation.
4. Yukihiro Seki and Pawel Biernat, Type II blow-up mechanisms in harmonic map heat flow, in preparation.

Grants

1. Grant-in-Aid for JSPS Fellows, JSPS, April 2008 - March 2010.
2. Grant-in-Aid for JSPS Fellows, JSPS, April 2013 - March 2014.
3. Grant-in-Aid for Research Activity Start-up, JSPS, October 2014 - March 2016.
4. P&P (Kyushu University Interdisciplinary Programs in
   Education and Projects in Research Development) October 2014 - March 2015.

Awards

1. Award for Ph. D. dissertation, Graduate School of Mathematical Sciences, University of Tokyo, March 23, 2009.

4 Selected talks in international conferences

2015

1. On type II blow-up mechanisms in the semilear heat equation with critical Joseph-Lundgren exponent,
   The 7th Nagoya Workshop on Differential Equations,
   Nagoya University, March 4, 2015. (Nagoya, Japan)

2014

1. On type II blow-up mechanisms in the semilear heat equation with critical Joseph-Lundgren exponent,
   The 33rd Sapporo Symposium on Partial Differential Equations,
   Hokkaido university, August 26, 2008. (Sapporo, Japan)

2013年

1. Multiple points blowup for the two-dimensioinal Keller-Segel system,
   RIMS conference,October 21, 2013. (Kyoto, Japan)

2012年

1. Multiple peak aggregations for the Keller-Sgel system,
   Oberseminar Analysis, University of Bonn, HIM, 2012年12月6日(Bonn, Germany).

2011年

1. Multiple peak aggregations for the Keller-Sgel system,
   JMSJ 4th MSJ-SI, Kyushu University,
   September 14, 2011. (Fukuoka, Japan)

2009年

1. On exact dead-core rates for a semilinear heat equation with strong absorption,
   Working Seminar, Imperial College London,
   February 27, 2009, (London, United Kingdom)
2. On exact dead-core rates for a semilinear heat equation with strong absorption,
   Equadiff 12, Masaryk University,
   July 21, 2009, (Brno, Czech Republic)
3. On exact dead-core rates for a semilinear heat equation with strong absorption,
   PDE seminars, Compultense University,
   November 12, 2009, (Madrid, Spain)

2008年

1. Blow-up at space infinity for quasilinear parabolic equations,
   The 7th AIMS International Conference, University of Texas at Arlington,
   May 19, 2008. (Texas, USA)
2. Mean curvature flow closes open ends of noncompact surface of rotation,
   The 33rd Sapporo Symposium on Partial Differential Equations,
   Hokkaido university, August 26, 2008. (Sapporo, Japan)