Sugiyama Yusuke 杉山裕介

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Sugiyama Yuusuke 杉山裕介

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Researcher Number	30712161
Other IDs
Affiliation (Current)	2022: 滋賀県立大学, 地域・ひと・モノ未来情報研究センター, 准教授
Affiliation (based on the past Project Information) *help	2017 – 2020: 滋賀県立大学, 工学部, 准教授 2016: 東京理科大学, 理学部第一部数学科, 助教
Review Section/Research Field	Principal Investigator Mathematical analysis / Basic Section 12020:Mathematical analysis-related
Keywords	Principal Investigator 準線形波動方程式 / 方程式の退化 / 解の爆発 / 双曲型保存則系 / 適切性 / リーマン不変量 / 衝撃波 / 希薄波 / elastic system / 弾性体 … More / 時間大域解 / 非線形偏微分方程式 / p-system / 圧縮性Euler方程式 / 解析学 / 偏微分方程式 / 解の挙動 / 解の特異性 / 特異点形成 / 解の正則性 Less

退化型準線形波動方程式の正則性理論の構築とその応用Principal Investigator
- Principal Investigator
  
  杉山裕介
- Project Period (FY)
  2019 – 2021
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  The University of Shiga Prefecture
Classification of the behavior of solutions to degenerate quasi-linear wave equationsPrincipal Investigator
- Principal Investigator
  
  Sugiyama Yuusuke
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Mathematical analysis
- Research Institution
  The University of Shiga Prefecture
  Tokyo University of Science

All 2021 2020 2019 2018 2017 2016

All Journal Article Presentation

[Journal Article] Remark on global existence of solutions to the 1D compressible Euler equation with time-dependent damping2021
- Author(s)
  Yuusuke Sugiyama
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume: 85 Pages: 379-389
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14573
[Journal Article] Optimal estimates for far field asymptotics of solutions to the quasi-geostrophic equation2021
- Author(s)
  Masakazu Yamamoto, Yuusuke Sugiyama
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 149 Pages: 1099-1110
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14573
[Journal Article] Asymptotic stability of stationary solutions to the drift-diffusion model with the fractional dissipation2020
- Author(s)
  Masakazu Yamamoto, Yuusuke Sugiyama
- Journal Title
  
  Journal of Evolution Equations
  
  Volume: -
- DOI
  10.1007/s00028-020-00628-4
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14573
[Journal Article] Spatial-decay of solutions to the quasi-geostrophic equation with the critical and the supercritical dissipation2019
- Author(s)
  Masakazu Yamamoto, Yuusuke Sugiyama
- Journal Title
  
  Nonlinearity
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17631
[Journal Article] Singularity formation for the 1D compressible Euler equations with variable damping coefficient2018
- Author(s)
  杉山裕介
- Journal Title
  
  Nonlinear Analysis Series A: Theory, Methods & Applications
  
  Volume: 170 Pages: 70-87
- DOI
  10.1016/j.na.2017.12.013
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17631
[Journal Article] Existence and nonexistence theorems for global weak solutions to quasilinear wave equations for the elasticity2018
- Author(s)
  Yunguang Lu、杉山裕介
- Journal Title
  
  Applied Mathematics Letters
  
  Volume: 印刷中
- DOI
  10.1016/j.aml.2018.05.001
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17631
[Journal Article] Large time behavior of solutions to 1D quasilinear wave equations2017
- Author(s)
  杉山裕介
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17631
[Journal Article] Degeneracy in finite time of 1D quasilinear wave equations II2017
- Author(s)
  杉山裕介
- Journal Title
  
  Evolution Equations and Control Theory
  
  Volume: 6 Pages: 615-628
- DOI
  10.3934/eect.2017031
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17631
[Journal Article] Degeneracy in finite time of 1D quasilinear wave equations2016
- Author(s)
  杉山裕介
- Journal Title
  
  SIAM J. Math. Anal
  
  Volume: 48 Pages: 847-870
- DOI
  10.1137/15m1016369
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17631
[Journal Article] Asymptotic expansion of solutions to the drift-diffusion equation with fractional dissipation2016
- Author(s)
  Yamamoto, M., Sugiyama, Y.
- Journal Title
  
  Nonlinear Analysis Series A: Theory, Methods & Applications
  
  Volume: 141 Pages: 57-87
- DOI
  10.1016/j.na.2016.03.021
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K17566, KAKENHI-PROJECT-16K17631
[Presentation] Finite time blow-up for parameterized 1D quasilinear wave equations2020
- Author(s)
  杉山裕介
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19K14573
[Presentation] Stationary and nonstationary problems for the drift-diffusion equation with fractional dissipation2019
- Author(s)
  杉山裕介
- Organizer
  国際研究集会「Chemotaxis and Nonlinear Parabolic Equations 」
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14573
[Presentation] Asymptotic stability of stationary solutions to the drift-diffusion model with the fractional dissipation2019
- Author(s)
  杉山裕介
- Organizer
  楕円型・放物型微分方程式研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-19K14573
[Presentation] Asymptotic stability of stationary solutions to the drift-diffusion model with the fractional dissipation2019
- Author(s)
  杉山裕介
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19K14573
[Presentation] Global existence and degeneracy in finite time for 1D quasilinear wave equations2018
- Author(s)
  杉山裕介
- Organizer
  The 11th Mathematical Society of Japan (MSJ) Seasonal Institute (SI) The Role of Metrics in the Theory of Partial Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17631
[Presentation] Global existence and degeneracy in finite time for 1D quasilinear wave equations2018
- Author(s)
  杉山裕介
- Organizer
  微分方程式セミナー（大阪大学）
- Invited
- Data Source
  KAKENHI-PROJECT-16K17631
[Presentation] Global existence and degeneracy in finite time for 1D quasilinear wave equations2018
- Author(s)
  杉山裕介
- Organizer
  東北大学応用数理解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K17631
[Presentation] Existence and stability of stationary solutions to the drift-diffusion equation with the fractional dissipation2018
- Author(s)
  杉山裕介
- Organizer
  RIMS共同研究「反応拡散方程式と非線形分散型方程式の解の挙動」
- Invited
- Data Source
  KAKENHI-PROJECT-16K17631
[Presentation] Degeneracy in finite time for 1D quasilinear wave equations2018
- Author(s)
  杉山裕介
- Organizer
  第９回大阪駅前セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K17631
[Presentation] Remark on global existence and large time behavior for the 1D Euler equation with time-dependent damping2018
- Author(s)
  杉山裕介
- Organizer
  南大阪応用数学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K17631
[Presentation] Loss of strict hyperbolicity in finite time for 1D quasilinear wave equations2018
- Author(s)
  杉山裕介
- Organizer
  ＮＬＰＤＥセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K17631
[Presentation] Large time behavior of solutions to 1D quasilinear wave equations for the elasticity2018
- Author(s)
  杉山裕介
- Organizer
  熊本大学応用解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K17631
[Presentation] 分数冪ラプラシアンを持つ移流拡散方程式の可解性や解の長時間挙動を支えるいくつかの評価について2018
- Author(s)
  杉山裕介、山本征法
- Organizer
  解析学研究セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K17631
[Presentation] 変数係数摩擦項を持つ 1 次元 Euler 方程式の解の爆発2017
- Author(s)
  杉山裕介
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-16K17631
[Presentation] Blow-up and estimates of the lifespan of solutions to the 1D compressible Euler equation with variable damping coefficient2017
- Author(s)
  杉山裕介
- Organizer
  Nonlinear Partial Differential Equations for Future Applications Session of “Hyperbolic and Dispersive PDE
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17631
[Presentation] Singularity formation for the 1D compressible Euler equation with variable damping coefficient2017
- Author(s)
  杉山裕介
- Organizer
  15th Linear and Nonlinear Waves
- Invited
- Data Source
  KAKENHI-PROJECT-16K17631
[Presentation] Existence and nonexistence theorems for global weak solutions to quasilinear wave equations2017
- Author(s)
  杉山裕介
- Organizer
  Okayama Workshop on Partial Differential Equations
- Invited
- Data Source
  KAKENHI-PROJECT-16K17631
[Presentation] 変数係数の摩擦項を持つ１次元Euler方程式の解の爆発2017
- Author(s)
  杉山裕介
- Organizer
  函館偏微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K17631
[Presentation] Blow-up and lifespan for the 1D Euler equation with time-dependent damping2017
- Author(s)
  杉山裕介
- Organizer
  Critical Exponents and Nonlinear Evolution Equation 2017
- Place of Presentation
  東京理科大学
- Invited
- Data Source
  KAKENHI-PROJECT-16K17631
[Presentation] On the global existence of weak solutions to 1D degenerate quasilinear2017
- Author(s)
  杉山裕介
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-16K17631
[Presentation] Degeneracy in finite time of 1D quasilinear wave equations2016
- Author(s)
  杉山裕介
- Organizer
  XVI International Conference on Hyperbolic Problems Theory, Numerics, Applications
- Place of Presentation
  アーヘン工科大学　ドイツ
- Data Source
  KAKENHI-PROJECT-16K17631
[Presentation] Degeneracy in nite time of 1D quasilinear wave equations2016
- Author(s)
  杉山裕介
- Organizer
  Mathematical Analysis for Stability in Nonlinear Dynamics ‐in honor of Professor Vladimir Georgiev on his 60th birthday-
- Place of Presentation
  北海道大学
- Year and Date
  2016-08-24
- Data Source
  KAKENHI-PROJECT-16K17631
[Presentation] Degeneracy in nite time of 1D quasilinear wave equations2016
- Author(s)
  杉山裕介
- Organizer
  Workshop on Partial Differential Equations
- Place of Presentation
  杭州師範大学　中国
- Invited
- Data Source
  KAKENHI-PROJECT-16K17631
[Presentation] あるパラメータ準線形波動方程式の有限時間における退化2016
- Author(s)
  杉山裕介
- Organizer
  日本数学会　秋季総合分科会
- Place of Presentation
  関西大学
- Data Source
  KAKENHI-PROJECT-16K17631

1. Lu Yun-guang

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
2. 山本征法

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Sugiyama Yusuke 杉山 裕介

Sugiyama Yuusuke 杉山 裕介

Research Projects

Research Products

Co-Researchers

退化型準線形波動方程式の正則性理論の構築とその応用Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Classification of the behavior of solutions to degenerate quasi-linear wave equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Remark on global existence of solutions to the 1D compressible Euler equation with time-dependent damping2021

Author(s)

Journal Title

Data Source

[Journal Article] Optimal estimates for far field asymptotics of solutions to the quasi-geostrophic equation2021

Author(s)

Journal Title

Data Source

[Journal Article] Asymptotic stability of stationary solutions to the drift-diffusion model with the fractional dissipation2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Spatial-decay of solutions to the quasi-geostrophic equation with the critical and the supercritical dissipation2019

Author(s)

Journal Title

Data Source

[Journal Article] Singularity formation for the 1D compressible Euler equations with variable damping coefficient2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Existence and nonexistence theorems for global weak solutions to quasilinear wave equations for the elasticity2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Large time behavior of solutions to 1D quasilinear wave equations2017

Author(s)

Journal Title

Data Source

[Journal Article] Degeneracy in finite time of 1D quasilinear wave equations II2017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Degeneracy in finite time of 1D quasilinear wave equations2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Asymptotic expansion of solutions to the drift-diffusion equation with fractional dissipation2016

Author(s)

Journal Title

DOI

Data Source

[Presentation] Finite time blow-up for parameterized 1D quasilinear wave equations2020

Author(s)

Organizer

Data Source

[Presentation] Stationary and nonstationary problems for the drift-diffusion equation with fractional dissipation2019

Author(s)

Organizer

Data Source

[Presentation] Asymptotic stability of stationary solutions to the drift-diffusion model with the fractional dissipation2019

Author(s)

Organizer

Data Source

[Presentation] Asymptotic stability of stationary solutions to the drift-diffusion model with the fractional dissipation2019

Author(s)

Organizer

Data Source

[Presentation] Global existence and degeneracy in finite time for 1D quasilinear wave equations2018

Sugiyama Yusuke 杉山裕介

Sugiyama Yuusuke 杉山裕介