Abstract
We state some recent results concerning liquid-vapor phase transitions for a fluid flow through a porousmedium. The focus is on the friction exerted by the porous medium, which is modeled in such a way to include both laminar and turbulent flows. In this way we obtain a hyperbolic system of three balance laws with a forcing term that is discontinuous in the state variables. Existence, uniqueness and qualitative behavior of traveling waves is proved by a novel regularization technique.
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Corli, A., Fan, H. Laminar-turbulent reactive flows in porous media. Bull Braz Math Soc, New Series 47, 267–276 (2016). https://doi.org/10.1007/s00574-016-0137-y
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DOI: https://doi.org/10.1007/s00574-016-0137-y