6 citations · 14 across the 7 of their papers we have counts for
7 papers
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…
Puiseux asymptotic expansions for convection-dominated transport problems in thin graph-like networks: strong boundary interactions
Taras Mel'nyk, Christian Rohde
This article completes the study of the influence of the intensity parameter in the boundary condition $\varepsilon \partial_{\boldsymbolν_\varepsilon} u_\varepsilon - u_\varep…
Asymptotic approximations for semilinear parabolic convection-dominated transport problems in thin graph-like networks
Taras Mel'nyk, Christian Rohde
We consider time-dependent convection-diffusion problems with high Péclet number of order in thin three-dimensional graph-like networks consisting o…
Asymptotic expansion for convection-dominated transport in a thin graph-like junction
Taras Mel'nyk, Christian Rohde
We consider for a small parameter a parabolic convection-diffusion problem with Péclet number of order in a three-dimensional graph…