Asymptotic models for free boundary flow in porous media

23 Feb 2019 Granero-Belinchón Rafael Scrobogna Stefano

We provide rigorous asymptotic models for the free boundary Darcy and Forchheimer problem under the assumption of weak nonlinear interaction, in a regime in which the steepness parameter of the interface is considered to be very small. The models we derive capture the nonlinear interaction of the original free boundary Darcy and Forchheimer problem up to quadratic terms... (read more)

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  • ANALYSIS OF PDES
  • FLUID DYNAMICS