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researcher

T. Mel’nyk

7 papers hereh-index 319 citations9 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • first author7

Across the 7 of 7 papers where every author was matched, so the position is known.

fields
  • math.AP7

identity via Semantic Scholar / OpenAlex

activity
20222026
most citedAsymptotic expansion for convection-dominated transport in a thin graph-like junction

6 citations · 14 across the 7 of their papers we have counts for

collaborators
Showing 2026Show all

2 papers · 1 filter

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 ε-thin, highly heterogeneous fracture whose aperture and obstacle pattern vary periodic…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.