Personnel Information

写真b

TANAKA YUYA

Organization
School of Science
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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Research Areas 【 display / non-display 】

  • Research field:Natural Science / Mathematical analysis

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Papers 【 display / non-display 】

  • 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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  • Language: English
    Title: Finite-Time Blow-up in a Two-Species Chemotaxis-Competition Model with Degenerate Diffusion
    Journal name: Acta Applicandae Mathematicae  vol.186  (13)
    Date of publication: 2023.08
    Author(s): Yuya Tanaka

    DOI: 10.1007/s10440-023-00592-4
    Type of publication: Research paper (scientific journal)

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  • Language: English
    Title: GLOBAL ASYMPTOTIC STABILITY OF ENDEMIC EQUILIBRIA FOR A DIFFUSIVE SIR EPIDEMIC MODEL WITH SATURATED INCIDENCE AND LOGISTIC GROWTH
    Journal name: Discrete and Continuous Dynamical Systems - Series B  vol.28  (3)  (p.2184 - 2210)
    Date of publication: 2023.03
    Author(s): Yutaro Chiyo, Yuya Tanaka, Ayako Uchida, Tomomi Yokota

    DOI: 10.3934/dcdsb.2022163
    Type of publication: Research paper (scientific journal)

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  • Language: English
    Title: FINITE-TIME BLOW-UP IN A QUASILINEAR DEGENERATE PARABOLIC-ELLIPTIC CHEMOTAXIS SYSTEM WITH LOGISTIC SOURCE AND NONLINEAR PRODUCTION
    Journal name: Discrete and Continuous Dynamical Systems - Series B  vol.28  (1)  (p.262 - 286)
    Date of publication: 2023.01
    Author(s): Yuya Tanaka, Tomomi Yokota

    DOI: 10.3934/dcdsb.2022075
    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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Presentations 【 display / non-display 】

  • Language:Japanese
    Conference name:日本数学会2024年度年会 実函数論分科会
    International/Domestic presentation:Domestic presentation
    Holding date：2024.03
    Presentation date：2024.03.20
    Title:Regularizing property of a Keller-Segel system with density-dependent sensitivity
    Presentation type:Oral presentation (general)

  • Language:Japanese
    Conference name:第49回発展方程式研究会
    International/Domestic presentation:Domestic presentation
    Holding date：2023.12
    Presentation date：2023.12.25
    Title:Smoothing effect in a Keller-Segel system with density-dependent sensitivity
    Presentation type:Oral presentation (general)

  • Language:Japanese
    Conference name: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2023
    International/Domestic presentation:Domestic presentation
    Holding date：2023.10
    Presentation date：2023.10.14
    Title:ある昆虫の集中現象を記述した準線形走化性方程式系の高次元における解の挙動および質量臨界現象の解明
    Presentation type:Poster presentation

  • Language:Japanese
    Conference name:日本数学会2023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：2023.09
    Presentation date：2023.09.21
    Title:Occurrence of a critical mass phenomenon in a higher dimensional quasilinear Keller-Segel system with indirect signal production
    Presentation type:Oral presentation (general)

  • Language:Japanese
    Conference name:第44回発展方程式若手セミナー
    International/Domestic presentation:Domestic presentation
    Holding date：2023.09
    Presentation date：2023.09.05
    Title:Critical mass for blow-up in a higher dimensional quasilinear Keller-Segel system with indirect signal production
    Presentation type:Oral presentation (general)

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