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

Roman Cherniha

Abstract

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) 134834), in which a model describing an unsteady two-dimensional viscous incompressible fluid flow through a porous medium is studied. The main theoretical results of that study consists of finding Lie and nonclassical symmetries of a fourth-order PDE, which was derived by simplification of the given model. Here it is shown that the main theoretical results derived therein are incomplete and misleading.

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

Abstract

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) 134834), in which a model describing an unsteady two-dimensional viscous incompressible fluid flow through a porous medium is studied. The main theoretical results of that study consists of finding Lie and nonclassical symmetries of a fourth-order PDE, which was derived by simplification of the given model. Here it is shown that the main theoretical results derived therein are incomplete and misleading.

Paper Structure

This paper contains 11 equations.

Theorems & Definitions (1)

  • Definition 1