Personnel Information

写真b

TANAKA YUYA

Organization
School of Science Assistant Professor
Research Fields, Keywords
微分方程式, 解の爆発, 走化性方程式
Teaching and Research Fields
粘菌や昆虫、動物などの生物の動きを記述した偏微分方程式の解の挙動について研究しています。特に、ある化学物質に引き寄せられる性質（走化性）をもつ生物の集中現象を記述した走化性方程式系と呼ばれる問題の解の爆発に興味があります。
Syllabus information URL
https://syllabus.kwansei.ac.jp/uniasv2/UnSSOLoginControlFree?REQ_ACTION_DO=/AGA030PLS01Action.do?REQ_FUNCTION_JUMP_START_FLG=1&SLB_LINK_DISP_FLG=689&TCH_NO=246016&REQ_PRFR_FUNC_ID=AGA030
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Degree 【 display / non-display 】

  • Degree name:博士（理学）
    Classified degree field:Natural Science / Mathematical analysis
    Conferring institution:Tokyo University of Science
    Acquisition way:Coursework
    Date of acquisition:2023.03

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Research Areas 【 display / non-display 】

  • Research field:Natural Science / Mathematical analysis

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Papers 【 display / non-display 】

  • Language: English
    Title: Finite-time blow-up in a two-dimensional repulsive chemotaxis-consumption system with superlinear density-dependent sensitivity
    Journal name: Journal of Mathematical Analysis and Applications  vol.548  (1)  (p.129375 - )
    Date of publication: 2025.08
    Author(s): Shohei Kohatsu, Hikaru Sato, Yuya Tanaka

    DOI: 10.1016/j.jmaa.2025.129375
    Type of publication: Research paper (scientific journal)

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  • Language: English
    Title: ASYMPTOTIC STABILITY OF DISEASE-FREE EQUILIBRIA IN A DIFFUSIVE LOGISTIC SIR EPIDEMIC MODEL WITH SATURATED INCIDENCE AND TREATMENT RATES
    Journal name: Discrete and Continuous Dynamical Systems - Series B  vol.30  (2)  (p.642 - 667)
    Date of publication: 2025.02
    Author(s): Ryota Nakiyama, Yuya Tanaka, Tomomi Yokota

    DOI: 10.3934/dcdsb.2024105
    Type of publication: Research paper (scientific journal)

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  • Language: English
    Title: Regularizing effect in a Keller-Segel system with density-dependent sensitivity for L^p-initial data of cell density
    Journal name: Journal of Mathematical Analysis and Applications  vol.1  (540)  (p.128577 - )
    Date of publication: 2024.12
    Author(s): Yuya Sugawara, Yuya Tanaka, Tomomi Yokota

    DOI: 10.1016/j.jmaa.2024.128577
    Type of publication: Research paper (scientific journal)

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  • Language: English
    Title: Global asymptotic stability of endemic equilibria and stability of traveling waves for a diffusive SIR epidemic model with logistic growth
    Journal name: Journal of Elliptic and Parabolic Equations
    Date of publication: 2024.03
    Author(s): Masahiko Shimojo, Yuya Tanaka

    DOI: 10.1007/s41808-024-00262-y
    Type of publication: Research paper (scientific journal)

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  • Language: English
    Title: Critical mass phenomena in higher dimensional quasilinear Keller-Segel systems with indirect signal production
    Journal name: Mathematical Methods in the Applied Sciences  vol.46  (13)  (p.14362 - 14378)
    Date of publication: 2023.09
    Author(s): Mario Fuest, Johannes Lankeit, Yuya Tanaka

    DOI: 10.1002/mma.9324
    Type of publication: Research paper (scientific journal)

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Awards 【 display / non-display 】

  • Prize: The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Student Paper Competition 2023, Honorable Mention
    Date awarded:2023.06
    Country:United States
    Award type:Award from international society, conference, symposium, etc.
    Awarding organization：American Institute of Mathematical Sciences

  • Prize: 数学・数理科学専攻若手研究者のための異分野・異業種研究交流会2021 ベストポスター発表
    Date awarded:2021.11
    Country:Japan
    Award type:Award from Japanese society, conference, symposium, etc.
    Awarding organization：日本数学会社会連携協議会

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Research Projects 【 display / non-display 】

  • Research category:研究活動スタート支援
    Project year：2024.07 - 2026.03
    Title:増大項と減衰項の両方を含む走化性方程式系及びその周辺の臨界現象の解明

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Presentations 【 display / non-display 】

  • Language:Japanese
    Conference name:第50回発展方程式研究会
    International/Domestic presentation:Domestic presentation
    Holding date：2024.12
    Presentation date：2024.12.25
    Title:Global bounded solutions in a chemotaxis system involving gradient-dependent source with Robin boundary condition
    Presentation type:Oral presentation (general)

  • Language:English
    Conference name:The 14th AIMS Conference on Dynamical Systems, Differential Equations And Applications
    International/Domestic presentation:International presentation
    Holding date：2024.12
    Presentation date：2024.12.19
    Title:Finite-time blow-up in a three-dimensional chemotaxis-May--Nowak model
    Presentation type:Oral presentation (invited, special)

  • Language:English
    Conference name:The 14th AIMS Conference on Dynamical Systems, Differential Equations And Applications
    International/Domestic presentation:International presentation
    Holding date：2024.12
    Presentation date：2024.12.17
    Title:Boundedness of solutions to a chemotaxis system with a Robin boundary condition
    Presentation type:Oral presentation (invited, special)

  • Language:English
    Conference name:RIMS Symposia (open) Evolution Equations and Related Topics – Quantitative Analysis and Abstract Structures –
    International/Domestic presentation:Domestic presentation
    Holding date：2024.10
    Presentation date：2024.10.29
    Title:A critical blow-up exponent in a three-dimensional chemotaxis-May–Nowak model
    Presentation type:Oral presentation (invited, special)

  • Language:Japanese
    Conference name:日本数学会2024年度秋季総合分科会 函数方程式論分科会
    International/Domestic presentation:Domestic presentation
    Holding date：2024.09
    Presentation date：2024.09.05
    Title:Asymptotic behavior of solutions for diffusive epidemic models with logistic source
    Presentation type:Oral presentation (general)

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