We state some recent results concerning liquid-vapor phase transitions for a fluid flow through a porous medium. 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.
Laminar-turbulent reactive flows in porous media
CORLI, Andrea
Primo
;
2016
Abstract
We state some recent results concerning liquid-vapor phase transitions for a fluid flow through a porous medium. 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.File in questo prodotto:
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