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J-GLOBAL ID：201901001301429144 Update date: Mar. 04, 2025

Hiroshi Wakui

ワクイヒロシ | Hiroshi Wakui

Affiliation and department：
Job title： Senior Assistant Professor

Research field (2)： Basic analysis , Mathematical analysis

Research keywords (2)：非線形偏微分方程式 , Partial Differential Equations

Research theme for competitive and other funds (6)：

2025 - 2029 非局所項を含む放物型方程式の解の大域的挙動と解の定性的または定量的情報の解明
2024 - 2025 Analysis in relation between existence of local-in-time solutions to a drift-diffusion equation and local singularity of the initial data
2023 - 2025 Analysis in global asymptotics of solutions to drift-diffusion equations
2021 - 2023 Process of the before-and-after blowing up in the analysis for chemotaxis models : from macroscopic and microscopic view points
2020 - 2023 Analysis in large time asymptotics of solutions to parabolic equations

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Papers (9)：

Takayoshi Ogawa, Takeshi Suguro, Hiroshi Wakui. Finite time blow up and concentration phenomena for a solution to drift-diffusion equations in higher dimensions. Calculus of Variations and Partial Differential Equations. 2023. 62. 2
Piotr Biler, Grzegorz Karch, Hiroshi Wakui. Large self-similar solutions of the parabolic-elliptic Keller-Segel model. Indiana University Mathematics Journal. 2023. 72. 3. 1027-1054
Szymon Cygan, Grzegorz Karch, Krzysztof Krawczyk, Hiroshi Wakui. Stability of constant steady states of a chemotaxis model. Journal of Evolution Equations. 2021. 21. 4. 4873-4896
Tomasz Cieślak, Hiroshi Wakui. Existence of solutions to a one-dimensional Hamilton-Jacobi equation with a degenerate Hamiltonian. Applicationes Mathematicae. 2020. 47. 2. 155-163
Takayoshi Ogawa, Hiroshi Wakui. Finite time blow up and non-uniform bound for solutions to a degenerate drift-diffusion equation with the mass critical exponent under non-weight condition. manuscripta mathematica. 2019. 159. 3-4. 475-509

Lectures and oral presentations (53)：

Stability of constant steady states of solutions to a drift-diffusion equation with attraction-repulsion mixed type drift term
(The 174th Kumamoto University Applied Analysis Seminar 2024)
Existence and boundedness of a forward self-similar solution to a minimal Keller-Segel model in higher dimensions
(2024)
Stability of constant steady states of solutions to a attraction-repulsion drift-diffusion equation
(The 118th Kanazawa Analysis Seminar 2024)
Existence and global asymptotics of a bounded forward self-similar solutions to a drift-diffusion equation
(The 122th GMS seminar 2024)
Asypmtotics for forward self-similar solutions to a drift-diffusion equation
(2024)

Education (3)：

2014 - 2017 Graduate School of Science, Tohoku University Mathematical Institute, Doctor's course
2012 - 2014 Graduate School of Science, Tohoku University Mathematical Institute, Master's course
2008 - 2012 Saitama University Faculty of Science Department of Mathematics

Professional career (2)：

Work history (9)：

2023/04 - 現在 University of Fukui Faculty of Engineering, Division of Engineering, Division of Engineering Applied Physics Senior Assistant Professor
2022/10 - 2023/03 Tokyo University of Marine Science and Technology Faculty of Marine Resources and Environment Part-time teacher
2022/04 - 2023/03 Tokyo University of Science Faculty of Science, Division 1 Physics
2020/04 - 2023/03 Shibaura Institute of Technology College of Systems Engineering and Science
2020/04 - 2023/03 Tokyo University of Science Faculty of Science, Division 1 JSPS Research fellowship (PD)

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Awards (1)：

Association Membership(s) (1)：

THE MATHEMATICAL SOCIETY OF JAPAN

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