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arXiv · 1810.07909

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

Hajime Koba
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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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Hajime Koba. 2018-10-18. On Generalized Compressible Fluid Systems on an Evolving Surface with a Boundary. https://arxiv.org/abs/1810.07909

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