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On Generalized Compressible Fluid Systems on an Evolving Surface with a Boundary (1810.07909v3)
Published 18 Oct 2018 in math-ph and 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.