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Dimension Reduction and Asymptotic Approximation of Reactive Transport in a Bulk Domain with a Branched Thin Fracture
Taras Mel'nyk, Christian Rohde
We study nonlinear reactive transport in a two-dimensional bulk domain containing a thin branched fracture composed of three narrow branches of thickness epsilon connected through…
Multiscale Hyperbolic-Parabolic Models for Nonlinear Reactive Transport in Heterogeneously Fractured Porous Media
Taras Mel'nyk, Sorin Pop, Christian Rohde
We study nonlinear reactive transport in a layered porous medium separated by an -thin, highly heterogeneous fracture whose aperture and obstacle pattern vary periodic…
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…
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…