Rchr
J-GLOBAL ID:201101092354782438   Update date: Jan. 30, 2024

Iwabuchi Tsukasa

イワブチ ツカサ | Iwabuchi Tsukasa
Affiliation and department:
Job title: Associate Professor
Homepage URL  (2): http://db.tohoku.ac.jp/whois/detail/99950fabc780a874a5f5631d389f4f65.htmlhttp://db.tohoku.ac.jp/whois/e_detail/99950fabc780a874a5f5631d389f4f65.html
Research field  (1): Basic analysis
Research keywords  (1): 偏微分方程式
Research theme for competitive and other funds  (7):
  • 2019 - 2024 Creation of advanced method in mathematical analysis on nonlinear mathematical models of critical type
  • 2020 - 2023 Invention and explorer for undiscovered structure and principle in the mathematical analysis for the relation between fluid dynamics and combustion.
  • 2017 - 2021 Well-posedness for the nonlinear partial differential equations in critical spaces
  • 2019 - 2020 Unravel higher order critical structures to solutions of nonlinear dispersive and dissipative partial differential equations
  • 2013 - 2018 Elucidations on unexplored regions of problems related to the criticality of nonlinear dissipative and dispersive structures in mathematical models
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Papers (30):
  • Tsukasa Iwabuchi, Dáithí Ó hAodha. Optimality of the Decay Estimate of Solutions to the Linearised Curl-Free Compressible Navier-Stokes Equations. Journal of Mathematical Fluid Mechanics. 2023. 26. 1
  • Tsukasa Iwabuchi. The Leibniz rule for the Dirichlet and the Neumann Laplacian. Tohoku Mathematical Journal. 2023. 75. 1. 67-88
  • Motofumi Aoki, Tsukasa Iwabuchi. Energy conservation law for weak solutions of the full compressible Navier-Stokes equations. Journal of Differential Equations. 2022. 341. 481-503
  • Tsukasa Iwabuchi. An application of spectral localization to the critical SQG on a ball. Journal of Evolution Equations. 2022. 22. 4
  • Dáithí Ó hAodha, Tsukasa Iwabuchi. Large-time behaviour of solutions to the surface quasi-geostrophic equation. Partial Differential Equations and Applications. 2022. 3. 5
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MISC (20):
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Lectures and oral presentations  (85):
  • Analyticity and large time behavior of solutions for the Burgers equations with the critical dissipation
    (Peking-Yamagata-Tohoku Universities joint workshop for Harmonic Analysis and PDE 2018)
  • Analyticity and large time behavior of solutions for the Burgers equations with the critical dissipation
    (FUKUSHIMA-TOHOKU-UOW PDE WORKSHOP 2018)
  • 圧縮性 Navier--Stokes 方程式に対する不適切性について
    (日本数学会 2018)
  • Dirichlet Laplacian で生成されるBesov空間
    (日本数学会 2018)
  • 領域上のBesov空間における双線形評価式
    (日本数学会 2018)
more...
Education (4):
  • - 2011 Tohoku University
  • - 2008 Tohoku University
  • - 2006 Tohoku University Faculty of Science Department of Mathematics
  • - 2002 岩手県立一関第一高等学校
Professional career (2):
  • 博士(理学) (東北大学)
  • 修士(理学) (東北大学)
Work history (6):
  • 2016/10 - 現在 東北大学大学院理学研究科 准教授
  • 2015/04 - 2016/09 大阪市立大学大学院理学研究科 准教授
  • 2012/04 - 2015/03 中央大学理工学部 助教
  • 2011/04 - 2012/03 Tohoku University Graduate School of Science
  • 2008/04 - 2011/03 Ichinoseki National College of Technology
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Awards (1):
  • 2017/09 - 一般社団法人「日本数学会」 日本数学会賞建部賢弘賞特別賞
Association Membership(s) (1):
The Mathematical Society of Japan
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