On Generalized Compressible Fluid Systems on an Evolving Surface with a Boundary
arXiv:1810.07909
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.
arXiv commentarXiv 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'