Symmetry analysis and conservation laws for several classes of hydrodynamic equations

Mingshuo Liu, Lijun Zhang, Yong Fang, Yong Zhang and Huanhe Dong

Chaos, Solitons & Fractals, 2023, vol. 177, issue C

Abstract: Symmetries of hydrodynamic equations with complex nonlinear terms and strong coupling are studied. Lie symmetry analysis of nonlinear Euler, Navier–Stokes and magnetohydrodynamic equations is presented using Lie group of transformations. The similarity reductions and exact solutions generated from the symmetry transformations are provided. Conservation laws of the equations are well constructed. The analytical method of the hydrodynamic equations is developed, which enriches the quantitative calculation results and realizes the scientific description of the hydrodynamic systems.

Keywords: Symmetry analysis; Conservation laws; Euler equation; Navier–Stokes equation; Magnetohydrodynamic equations (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S096007792301127X
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:177:y:2023:i:c:s096007792301127x

DOI: 10.1016/j.chaos.2023.114225

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().