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Characterization of dissipative structure for partial differential equations and application to the nonlinear stability analysis

Characterization of dissipative structure for partial differential equations and application to the nonlinear stability analysis
偏微分方程耗散结构的表征及其在非线性稳定性分析中的应用
批准号:
18340040
负责人:
KAWASHIMA Shuichi
金额:
$8.66万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Scientific Research (B)
财政年份:
2006
资助国家:
日本
项目状态:
已结题
起止时间:
2006 至 2009

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中文摘要
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英文摘要
We studied nonlinear partial differential equations in the field of gas dynamics, fluid dynamics and elasto-dynamics. We investigated the dissipative properties of the systems and proved the asymptotic stability of various nonlinear phenomena.
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Asymptotic behavior of solutions to the compressible Navier-Stokes equations in an infinite layer : Stability of the motionless state and the plane Couette flow
无限层中可压缩纳维-斯托克斯方程解的渐近行为:静止状态和平面库埃特流的稳定性
DOI: --
发表时间: 2007
期刊:
影响因子: --
作者: [M. Nishio, K. Shimomura, 諸澤 俊介, Yasushi Hataya, 宮地 秀樹, Y. Kagei]
通讯作者: Y. Kagei
DOI: --
发表时间: 2006
期刊: Comm. Pure Appl. Anal. 5
影响因子: --
作者: [M.Kurokiba, T.Nagai, T.Ogawa]
通讯作者: T.Ogawa
Decay and asymptotic behavior of a solution of the Keller-Segel system of degenerated and non-degenerated type
简并型和非简并型 Keller-Segel 系统解的衰变和渐近行为
DOI: --
发表时间: 2006
期刊: Banach Center Publ. 74
影响因子: --
作者: [大橋正健, Shinya Sawada, T.Ogawa]
通讯作者: T.Ogawa
Drift-diffusion system in two dimensional critical Hardy space
二维临界Hardy空间中的漂移扩散系统
DOI: --
发表时间: 2008
期刊:
影响因子: --
作者: [T. Tsuchiya, R. Kumashiro, K. Tanigaki, Y. Matsunaga, M. O. Ishitsuka, T. Wakahara, Y. Maeda, Y. Takano, M. Aoyagi, T. Akasaka, M. T. H. Liu, T. Kato, K. Suenaga, J. S. Jeong, S. Iijima, F. Kimura, T. Kimura, S. Nagase, L.M.Holanda, 小川卓克]
通讯作者: 小川卓克
91
    Entropy dissipative structure and mathematical analysis for complex fluids
    • 批准号:
      18H01131
    • 项目类别:
      Grant-in-Aid for Scientific Research (B)
    • 资助金额:
      $11.07万
    • 财政年份:
      2018
    • 负责人:
      KAWASHIMA Shuichi
    • 依托单位:
    Stability analysis for nonlinear partial differential equations
    • 批准号:
      22244009
    • 项目类别:
      Grant-in-Aid for Scientific Research (A)
    • 资助金额:
      $22.55万
    • 财政年份:
      2010
    • 负责人:
      KAWASHIMA Shuichi
    • 依托单位:
    Historical Studies on the Formation of autonomous Governance Structure of the European Communities : Re-examination of Political Cooperation, Agricultural and Industrial Policy
    • 批准号:
      21730142
    • 项目类别:
      Grant-in-Aid for Young Scientists (B)
    • 资助金额:
      $2.66万
    • 财政年份:
      2009
    • 负责人:
      KAWASHIMA Shuichi
    • 依托单位:
    Asymptotic behavior of solutions and stability of nonlinear waves for equations of gas motion
    • 批准号:
      14340047
    • 项目类别:
      Grant-in-Aid for Scientific Research (B)
    • 资助金额:
      $7.3万
    • 财政年份:
      2002
    • 负责人:
      KAWASHIMA Shuichi
    • 依托单位:
    海外基金