Mathematical analysis on fluid-flow on a moving hypersurface

2014 Fiscal Year Final Research Report

• Project/Area Number: 25887048
• Research Category: Grant-in-Aid for Research Activity Start-up
• Allocation Type: Single-year Grants
• Research Field: Mathematical analysis
• Research Institution: Waseda University
• Principal Investigator: KOBA Hajime 早稲田大学, 理工学術院, 助教 (80707729)
• Project Period (FY): 2013-08-30 – 2015-03-31
• Keywords: 流体 / 曲面 / オイラー方程式 / ナヴィエ・ストークス方程式 / 曲率 / エネルギー / 超曲面 / 多様体

Outline of Final Research Achievements

We are concerned with the dominant equations for the motion of fluid on a moving hypersurface. A moving hypersurface means that the hypersurface is rotating or moving in a straight line. We focus on kinematic and dissipation energies to study fluid-flow on a moving hypersurface. Our results make us to understand that fluid-flow on a moving hypersurface depend on both the curvature and motion of the moving hypersurface.

Free Research Field

偏微分方程式論