Mathematical analysis of decay structure of a viscous incompressible fluid arising from motions of obstacles

障碍物运动引起的粘性不可压缩流体衰变结构的数学分析

• 批准号: 24540169
• 负责人: HISHIDA Toshiaki
• 金额: $ 3.33万
• 依托单位: Nagoya University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2012
• 资助国家: 日本
• 起止时间: 2012-04-01 至 2015-03-31
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-24540169/
• 关键词: 非圧縮粘性流; 減衰構造; Navier-Stokes方程式; Stokes流; Oseen流; 外部領域; 漸近展開; 基本解; Stokes半群; Oseen半群; Navier-Stokes流; 安定性; 外部問題; 自己相似解; resolvent

项目成果

Decay estimates of the Oseen flow in two-dimensinal exterior domains

二维外部域中 Oseen 流的衰减估计

• 发表时间: 2012
• 作者: Toshiaki Hishida;Ivana Alexandrova and Hideo Tamura;Toshiaki Hishida;Takashi Yamasaki and Takaaki Nomura;野村 祐司;Hideto Nakashima and Takaaki Nomura;Toshiaki Hishida;伊藤 宏;野村隆昭;Toshiaki Hishida;山田 修宣;Hideto Nakashima and Takaaki Nomura;Toshiaki Hishida;伊藤 宏;Takaaki Nomura;Toshiaki Hishida;伊藤 宏;Toshiaki Hishida;野村隆昭;伊藤 宏;野村隆昭;Toshiaki Hishida;伊藤 宏;野村隆昭;伊藤 宏;Toshiaki Hishida;伊藤 宏;Toshiaki Hishida;Takaaki Nomura;Toshiaki Hishida;野村隆昭;Toshiaki Hishida;Hiroshi Ito （伊藤 宏）;Takaaki Nomura;Toshiaki Hishida;野村隆昭;中島秀斗，野村隆昭;Toshiaki Hishida;中島秀斗，野村隆昭;Toshiaki Hishida;Toshiaki Hishida;Takaaki Nomura;Toshiaki Hishida
• 通讯作者: Toshiaki Hishida

Asymptotic behavior of viscous incompressible flows in plane exterior domains

平面外域中粘性不可压缩流的渐近行为

• 发表时间: 2012
• 作者: Toshiaki Hishida;Ivana Alexandrova and Hideo Tamura;Toshiaki Hishida;Takashi Yamasaki and Takaaki Nomura;野村 祐司;Hideto Nakashima and Takaaki Nomura;Toshiaki Hishida;伊藤 宏;野村隆昭;Toshiaki Hishida;山田 修宣;Hideto Nakashima and Takaaki Nomura;Toshiaki Hishida;伊藤 宏;Takaaki Nomura;Toshiaki Hishida;伊藤 宏;Toshiaki Hishida;野村隆昭;伊藤 宏;野村隆昭;Toshiaki Hishida;伊藤 宏;野村隆昭;伊藤 宏;Toshiaki Hishida;伊藤 宏;Toshiaki Hishida;Takaaki Nomura;Toshiaki Hishida;野村隆昭;Toshiaki Hishida;Hiroshi Ito （伊藤 宏）;Takaaki Nomura;Toshiaki Hishida;野村隆昭;中島秀斗，野村隆昭;Toshiaki Hishida;中島秀斗，野村隆昭;Toshiaki Hishida;Toshiaki Hishida
• 通讯作者: Toshiaki Hishida

Decay estimates of the Oseen flow in two-dimensional exterior domains

二维外部域中 Oseen 流的衰减估计

• 发表时间: 2015
• 期刊: Gakuto International Series Math. Sci. Appl.
• 作者: Toshiaki Hishida;Ana Silvestre and Takeo Takahashi;Toshiaki Hishida and Maria Schonbek;Toshiaki Hishida;Toshiaki Hishida;Toshiaki Hishida and Maria Schonbek;Toshiaki Hishida;Toshiaki Hishida
• 通讯作者: Toshiaki Hishida

On the asymptotic stability for small initial disturbance of Navier-Stokes flow in a two-dimensional aperture domain

二维孔径域纳维-斯托克斯流小初始扰动的渐近稳定性

• 发表时间: 2015
• 期刊: Gakuto International Series Math. Sci. Appl.
• 作者: Toshiaki Hishida;Ana Silvestre and Takeo Takahashi;Toshiaki Hishida and Maria Schonbek;Toshiaki Hishida;Toshiaki Hishida;Toshiaki Hishida and Maria Schonbek;Toshiaki Hishida;Toshiaki Hishida;Toshiaki Hishida and Takayuki kubo
• 通讯作者: Toshiaki Hishida and Takayuki kubo

L^q-L^r estimate of the Oseen flow in plane exterior domains

平面外部域中 Oseen 流的 L^q-L^r 估计

• 发表时间: 2015
• 期刊: Journal of Mathematical Society of Japan
• 作者: Toshiaki Hishida