Open AccessEnergetic variational approaches for incompressible fluid systems on an evolving surface
Author(s) -
Hajime Koba,
Chun Li,
Yoshikazu Giga
Publication year - 2016
Publication title -
quarterly of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.603
H-Index - 41
eISSN - 1552-4485
pISSN - 0033-569X
DOI - 10.1090/qam/1452
Subject(s) - compressibility , surface (topology) , incompressible flow , motion (physics) , classical mechanics , fluid dynamics , fluid motion , focus (optics) , flow (mathematics) , curvature , mechanics , fluid parcel , physics , pressure correction method , coupling (piping) , mathematics , geometry , mechanical engineering , engineering , optics
This paper considers the equations governing incompressible fluid-flow on an evolving surface. We employ an energetic variational approach to derive the dynamical system for the motion of incompressible fluid on such an evolving surface. The focus is to understand the coupling of an incompressible fluid-flow and the evolution of a moving surface, involving both the curvature and the motion of the surface.