The equations of the Darcy-Brinkman flow: the Lie symmetry classification, conservation laws, and traveling wave solutions

DOI10.1134/S1995080223090160OpenAlexW4389576666MaRDI QIDQ6180971

Oleg I. Morozov, I. S. Krasil'shchik

Publication date: 22 January 2024

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080223090160

zbMATH Keywords

symmetryconservation lawdifferential equationtraveling wave solutionDarcy-Brinkman flowAbel ordinary differential equation

Mathematics Subject Classification ID

Traveling wave solutions (35C07) Symmetries, invariants, etc. in context of PDEs (35B06)

Cites Work

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• Critical phenomena in filtration processes of real gases
• The equation of filtration for real gases: group classification, exact solutions, conservation laws, and differential invariants
• A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles

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