3 papers
math.AP2026
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…
math.AP2026
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…
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…