Energetic variational approaches for incompressible fluid systems on an evolving surface

Hajime Koba; Chun Liu; Yoshikazu Giga

doi:10.1090/qam/1452

Energetic variational approaches for incompressible fluid systems on an evolving surface

Hajime Koba, Chun Liu, Yoshikazu Giga

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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 language	English (US)
Pages (from-to)	359-389
Number of pages	31
Journal	Quarterly of Applied Mathematics
Volume	75
Issue number	2
DOIs	https://doi.org/10.1090/qam/1452
State	Published - 2017

All Science Journal Classification (ASJC) codes

Applied Mathematics

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title = "Energetic variational approaches for incompressible fluid systems on an evolving surface",

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.",

author = "Hajime Koba and Chun Liu and Yoshikazu Giga",

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AU - Liu, Chun

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N2 - 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.

AB - 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.

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Energetic variational approaches for incompressible fluid systems on an evolving surface

Abstract

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