Quotients of Navier-Stokes equation on space curves

DOI10.1007/S13324-021-00608-YzbMath1477.35120arXiv2105.14999OpenAlexW3207004926MaRDI QIDQ2243936

Sergey Tychkov, A. A. Duyunova, Valentin V. Lychagin

Publication date: 11 November 2021

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.14999

zbMATH Keywords

exact solutionsNavier-Stokes equationquotient equation

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Applications of Lie groups to the sciences; explicit representations (22E70) Asymptotic expansions of solutions to PDEs (35C20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Methods of ordinary differential equations applied to PDEs (35A24)

Cites Work

• Global Lie-Tresse theorem
• Symmetry classification of viscid flows on space curves
• Symmetries and differential invariants for inviscid flows on a curve
• Phase transitions in filtration of Redlich-Kwong gases
• Some Basic Theorems on Algebraic Groups

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