Personnel Information

写真b

ISHIGAKI Yusuke

Organization
School of Science Assistant Professor
Research Fields, Keywords
Partial Differential Equation, Compressible Viscoelastic Fluid, Asymptotic Behavior, Nonlinear Partial Differential Equations
Teaching and Research Fields
I am studying the partial differential equation (compressible viscoelastic system) derived from the compressible viscous fluid with elastic force such as mayonnaise and tooth past. Specifically, I am interested in the large time behavior of its solutions keeping the impact of effect of elastic force such as "the reaction acting to restore the original shape" in mind.
Mail Address
y.ishigaki@kwansei.ac.jp
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=266081&REQ_PRFR_FUNC_ID=AGA030
External link
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Graduate School 【 display / non-display 】

  • Graduate school:Tokyo Institute of Technology (Now: Institute of Science Tokyo)
    Department:School of Science
    Course:Department of Mathematics

    Course completed:Doctor's Course
    Date of completion:2021.03
    Completion status:Completed
    Country:Japan

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  • Graduate school:Kyushu University
    Department:Graduate School of Mathematics
    Course:Department of Mathematics

    Course completed:Doctor's Course
    Date of completion:2019.03
    Completion status:Unfinished Course
    Country:Japan

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  • Graduate school:Kyushu University
    Department:Graduate School of Mathematics
    Course:Department of Mathematics

    Course completed:Master's Course
    Date of completion:2018.03
    Completion status:Completed
    Country:Japan

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Degree 【 display / non-display 】

  • Degree name:Science
    Classified degree field:Natural Science / Mathematical analysis
    Conferring institution:Tokyo Institute of Technology
    Acquisition way:Coursework
    Date of acquisition:2021.03

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Career 【 display / non-display 】

  • Affiliation:Kwansei Gakuin University
    Department:School of Science
    Title:Assistant Professor
    Date:2026.04 -

  • Affiliation:Osaka University
    Department:Graduate School of Engineering Science Department of Systems Innovation Division of Mathematical Science
    Title:Researcher
    Date:2023.10 - 2026.03

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  • Affiliation:The University of Osaka
    Department:Graduate School of Engineering Science
    Title:Special researcher of the Japan Society for the Promotion of Science
    Date:2023.04 - 2026.03

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  • Affiliation:Department of Mathematics of Tokyo Institute of Technology
    Title:Japan Society for the Promotion of Science Research Fellow DC2
    Date:2019.04 - 2021.03

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Association Memberships 【 display / non-display 】

  • Academic society name:The Mathematical Society of Japan
    Academic country located:Japan

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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: Local energy decay of solutions to the linearized compressible viscoelastic system around motionless state in an exterior domain
    Journal name: Journal of Differential Equations  vol.454  (p.113933)
    Date of publication: 2026.02
    Author(s): Yusuke Ishigaki, Takayuki Kobayashi

    DOI: 10.1016/j.jde.2025.113933
    Type of publication: Research paper (scientific journal)
    Co-author classification: Multiple Authorship

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  • Language: English
    Title: Stability of stationary solutions to outflow problem for compressible viscoelastic system in one dimensional half space
    Journal name: AIMS Mathematics  vol.9  (11)  (p.33215 - 33253)
    Date of publication: 2024.11
    Author(s): Yusuke Ishigaki, Yoshihiro Ueda

    DOI: 10.3934/math.20241585
    Type of publication: Research paper (scientific journal)
    Co-author classification: Multiple Authorship

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  • Language: Japanese
    Title: On L1 estimates of solutions of compressible viscoelastic system
    Journal name: Discrete & Continuous Dynamical Systems  vol.42  (4)  (p.1835 - 1853)
    Date of publication: 2022.04
    Author(s): Yusuke Ishigaki

    DOI: 10.3934/dcds.2021174
    Type of publication: Research paper (scientific journal)
    Co-author classification: Single Author

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  • Language: English
    Title: Stability of time-periodic parallel flow of compressible viscoelastic system in an infinite layer
    Journal name: Advances in Mathematical Sciences and Applications  vol.30  (1)  (p.65 - 103)
    Date of publication: 2021.11
    Author(s): Ayaka Haruki, Yusuke Ishigaki

    Type of publication: Research paper (scientific journal)

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  • Language: English
    Title: Diffusion wave phenomena and Lp decay estimates of solutions of compressible viscoelastic system
    Journal name: Journal of Differential Equations  vol.269  (12)  (p.11195 - 11230)
    Date of publication: 2020.12
    Author(s): Yusuke Ishigaki

    DOI: 10.1016/j.jde.2020.07.020
    Type of publication: Research paper (scientific journal)
    Co-author classification: Single Author

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MISC 【 display / non-display 】

  • Language：English
    Title:On L^1 estimates of solutions of compressible viscoelastic system
    Journal name:RIMS Kôkyûroku Mathematical Analysis in Fluid and Gas Dynamics  vol.2215  (p.60 - 69)
    Date of publication:2022.04
    Author(s):Yusuke Ishigaki

    Type of publication：Internal/External technical report, pre-print, etc.

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  • Language：Japanese
    Title:Diffusion wave phenomena and L^p decay estimates of solutions of compressible viscoelastic system
    Journal name:第42回発展方程式若手セミナー報告集  (p.77 - 84)
    Date of publication:2022
    Author(s):石垣祐輔

    Type of publication：Meeting report

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  • Language：English
    Title:Diffusion wave phenomena and L^p decay estimates of solutions of compressible viscoelastic system
    Journal name:RIMS Kôkyûroku Mathematical Analysis of Viscous Incompressible Fluid  vol.2205  (p.34 - 47)
    Date of publication:2021.12
    Author(s):Yusuke Ishigaki

    Type of publication：Meeting report

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  • Language：English
    Title:Global existence of solutions of the compressible viscoelastic fluid around a parallel flow
    Journal name:RIMS Kôkyûroku Mathematical Analysis in Fluid and Gas Dynamics  vol.2155  (p.154 - 166)
    Date of publication:2020.04
    Author(s):Yusuke Ishigaki

    Type of publication：Internal/External technical report, pre-print, etc.

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  • Language：Japanese
    Title:Global existence of solutions of the compressible viscoelastic fluid around a parallel flow
    Journal name:第40回発展方程式若手セミナー報告集  (p.19 - 24)
    Date of publication:2018.12
    Author(s):石垣祐輔

    Type of publication：Meeting report

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Presentations 【 display / non-display 】

  • Language:Japanese
    Conference name:松山解析セミナー 2026
    Holding date：2026.03
    Presentation date：2026.03.07
    Title:Local energy decay estimates of solution to linearized compressible viscoelastic system in three-dimensional exterior domain
    Presentation type:Oral presentation (invited, special)

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  • Language:Japanese
    Conference name:Takamatsu Workshop on Differential Equations and Related Topics
    Holding date：2026.02
    Presentation date：2026.02.07
    Title:Local energy decay estimates of solution to linearized compressible viscoelastic system in three-dimensional exterior domain
    Presentation type:Oral presentation (invited, special)

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  • Language:English
    Conference name:RIMS Workshop "Mathematical Analysis of Viscous Incompressible Fluid"
    International/Domestic presentation:International presentation
    Holding date：2025.12
    Presentation date：2025.12.04
    Title:Local energy decay estimates of solution to linearized compressible viscoelastic system in three-dimensional exterior domain
    Presentation type:Oral presentation (invited, special)

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  • Language:English
    Conference name:The Ninth Japan-China Workshop on Mathematical Topics from Fluid Mechanics
    International/Domestic presentation:International presentation
    Holding date：2025.10
    Presentation date：2025.10.19
    Title:Local energy decay estimates of solution to linearized compressible viscoelastic system in three-dimensional exterior domain
    Presentation type:Oral presentation (invited, special)

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  • Language:English
    Conference name:15th ISAAC Congress July 21-25, 2025 International Society for Analysis, its Applications and Computation
    International/Domestic presentation:International presentation
    Holding date：2025.07
    Presentation date：2025.07.22
    Title:Local energy decay estimates of solution to linearized compressible viscoelastic system in three-dimensional exterior domain
    Presentation type:Oral presentation (invited, special)

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Teaching Experience (Off-campus) 【 display / non-display 】

  • Subject：プログラミング基礎Ⅰ
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  • Subject：プログラミング基礎Ⅱ
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  • Subject：数学C
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  • Subject：応用数学1-2
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  • Subject：数学A
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Academic Contribution 【 display / non-display 】

  • Title:数理流体力学若手研究会
    Activity type：Academic society, research group, etc.
    Date：2023.12

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