On generalized compressible fluid systems on an evolving surface with a boundary

Koba, Hajime

doi:10.1090/qam/1648

Author: Hajime Koba
Journal: Quart. Appl. Math. 81 (2023), 721-749
MSC (2020): Primary 37E35, 49S05, 49Q20
DOI: https://doi.org/10.1090/qam/1648
Published electronically: February 15, 2023
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Abstract: We consider compressible fluid flow on an evolving surface with a smooth boundary from an energetic point of view. We employ both an energetic variational approach and the first law of thermodynamics to make mathematical models for compressible fluid flow on the evolving surface. Moreover, we investigate the boundary conditions in co-normal direction for our fluid systems to study the conservation and energy laws of the systems.

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