On Generalized Compressible Fluid Systems on an Evolving Surface with a Boundary

2018/10/18 by Hajime Koba, Koba, Hajime
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph) #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1810.07909

openalex publication_date 2018/10/18 · openalex created_date 2018/10/26 · openalex updated_date 2026/07/28

Abstract

We consider compressible fluid flow on an evolving surface with a piecewise Lipschitz-continuous boundary from an energetic point of view. We employ both an energetic variational approach and the first law of thermodynamics to make a mathematical model for compressible fluid flow on the evolving surface. Moreover, we investigate the boundary conditions in co-normal direction for our fluid system to study the conservation and energy laws of the system.

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