Energetic variational approaches for incompressible fluid systems on an evolving surface

Hajime Koba, Chun Liu, Yoshikazu Giga

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Pages (from-to)359-389
Number of pages31
JournalQuarterly of Applied Mathematics
Volume75
Issue number2
DOIs
StatePublished - Jan 1 2017

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Variational Approach
Incompressible Fluid
Fluids
Incompressible Flow
Fluid Flow
Flow of fluids
Motion
Governing equation
Dynamical systems
Dynamical system
Curvature

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

Cite this

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Energetic variational approaches for incompressible fluid systems on an evolving surface. / Koba, Hajime; Liu, Chun; Giga, Yoshikazu.

In: Quarterly of Applied Mathematics, Vol. 75, No. 2, 01.01.2017, p. 359-389.

Research output: Contribution to journalArticle

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