Sugiyama Yoshie

スギヤマヨシエ | Sugiyama Yoshie

Affiliation and department：
Job title： Professor

Research field (1)： Mathematical analysis

Research keywords (3)：退化放物型方程式系 , 移流拡散方程式 , Keller-Segel系

Research theme for competitive and other funds (18)：

2020 - 2026 「4D-CTA・4D-MRA医療画像に基づく壁微小運動の数理解析とAI技術の融合 ~先制医療のための数理データ科学統合シミュレーション~
2022 - 2023 4D-CTA医療データの基づく脳動脈瘤の心臓拍動微小壁運動解析
2019 - 2022 On the structure analysis of measure value solutions and singular sets for non-linear drift diffusion systems
2018 - 2021 脳動脈瘤治癒過程における血栓化ダイナミクスを説明する数理モデルの構築と臨床応用
2019 - 2021 4D-CTA 医療データに基づく脳動脈瘤の心臓拍動微小壁運動解析

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Papers (42)：

H. Kozono, Masanari Miura, Yoshie Sugiyama. Time global existence and finite time blow-up criterion for solutions to the Keller-Segel system coupled with the Navier-Stokes fluid. Journal of Differential Equations. 2019. 267. 9. 5410-5492
Jose A. Carrillo, Yoshie Sugiyama. Compactly Supported Stationary States of the Degenerate Keller-Segel System in the Diffusion-Dominated Regime. INDIANA UNIVERSITY MATHEMATICS JOURNAL. 2018. 67. 6. 2279-2312
Tatsuki Kawakami, Yoshie Sugiyama. Uniqueness theorem on weak solutions to the Keller-Segel system of degenerate and singular types. Journal of Differential Equations. 2016. 260. 5. 4683-4716
Hideo Kozono, Masanari Miura, Yoshie Sugiyama. Existence and uniqueness theorem on mild solutions to the Keller-Segel system coupled with the Navier-Stokes fluid. Journal of Functional Analysis. 2016. 270. 5. 1663-1683
Yoshie Sugiyama. Partial regularity and blow-up asymptotics of weak solutions to degenerate parabolic systems of porous medium type. Manuscripta Mathematica. 2015. 147. 3-4. 311-363

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MISC (12)：

杉山由恵. 微分方程式を導出する : 偏微分方程式 (特集微分方程式の考え方 : 無限小から現象の全体像を見る). 数理科学. 2018. 56. 11. 14-20
José A. Carrillo, Yoshie Sugiyama. Compactly supported stationary states of the degenerate Keller-Segel system in the diffusion-dominated regime. 2016
Seki Yukihiro, Sugiyama Yoshie, Velazquez Juan J. L. Multiple points blow-up for the Keller-Segel system (New Role of the Theory of Abstract Evolution Equations : From a Point of View Overlooking the Individual Partial Differential Equations). RIMS Kokyuroku. 2014. 1892. 1892. 21-28
Yukihiro Seki, Yoshie Sugiyama, Juan J. L. Velázquez. Multiple peak aggregations for the Keller-Segel system. 2012
SUGIYAMA Yoshie, YAHAGI Yumi. Asymptotic stability of stationary solutions to degenerate Keller-Segel systems in sub-critical cases (Progress in Variational Problems : Variational Methods in the Study of Evolution Equations). RIMS Kokyuroku. 2012. 1779. 1779. 20-26

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Patents (10)：

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Lectures and oral presentations (158)：

On H ̈older continuity of solutions to non-linear diffusion equation with derivative external forces
(2020)
脳動脈瘤治癒過程における血栓化ダイナミクスを説明する数理モデルの構築
(第92回バイオメクフォーラム21研究会 2019)
脳動脈瘤治癒過程における血栓化ダイナミクスを説明する数理モデルの構築
(数学パワーが世界を変える2019 さきがけ「数学協働」2期生成果報告会 2019)
On the ε-regularity theorem for the Keller-Segel systems and its application to the analysis of singular sets
(2019)
Measure valued solutions of 2D Keller-Segel systems
(2018)

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Committee career (9)：

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Association Membership(s) (1)：

日本数学会

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