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Roman Cherniha

3 papers hereh-index 13 citations4 works total

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

author position
  • sole author1
  • first author2

Across the 3 of 3 papers where every author was matched, so the position is known.

fields
  • math.AP1
  • math-ph1
  • physics.flu-dyn1

identity via Semantic Scholar / OpenAlex

most citedNonlinear systems of PDEs admitting infinite-dimensional Lie algebras and their connection with Ricci flows. II: The two-dimensional space case

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.AP2026

A reaction-diffusion system with nonconstant diffusion coefficients: exact and numerical solutions

Roman Cherniha, Galyna Kriukova

A Lotka-Volterra type system with porous diffusion, which can be used as an alternative model to the classical Lotka-Volterra system, is under study. Multiparameter families of exa…

math-ph2026★ 1 cited

Nonlinear systems of PDEs admitting infinite-dimensional Lie algebras and their connection with Ricci flows. II: The two-dimensional space case

Roman Cherniha, John R. King

The work is a natural continuation of that published in Stud Appl Math. 2024; 153:e12737. All possible two-components evolutions systems of (1+2)-dimensional second-order PDEs admi…

physics.flu-dyn2025

Comments on the paper `Modelling and nonclassical symmetry analysis of a complex porous media flow in a dilating channel'

Roman Cherniha

The Comments are devoted to the recently published paper 'Modelling and nonclassical symmetry analysis of a complex porous media flow in a dilating channel' (Physica D. 481 (2025)…

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