On Generalized Compressible Fluid Systems on an Evolving Surface with a Boundary
Mathematical Physics
2022-12-20 v3 math.MP
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.
Cite
@article{arxiv.1810.07909,
title = {On Generalized Compressible Fluid Systems on an Evolving Surface with a Boundary},
author = {Hajime Koba},
journal= {arXiv preprint arXiv:1810.07909},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:1705.07184 To match the regularity of the boundary to the regularity of the functions, the author modified `a piecewise Lipschitz-continuous boundary' to `a smooth boundary'