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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 2023Show all

2 papers · 1 filter

math.AP2023★ 2 cited

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 α in the boundary condition $\varepsilon \partial_{\boldsymbolν_\varepsilon} u_\varepsilon - u_\varep…

math.AP2023★ 5 cited

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 O(ε−1) in thin three-dimensional graph-like networks consisting o…

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