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math.AP2024
Muskat-Leverett two-phase flow in thin cylindric porous media: Asymptotic approach
Taras Mel'nyk, Christian Rohde
A reduced-dimensional asymptotic modelling approach is presented for the analysis of two-phase flow in a thin cylinder with aperture of order where $\va…
math.AP2024★ 1 cited
Reduced-dimensional modelling for nonlinear convection-dominated flow in cylindric domains
Taras Mel'nyk, Christian Rohde
The aim of the paper is to construct and justify asymptotic approximations for solutions to quasilinear convection-diffusion problems with a predominance of nonlinear convective fl…