Abstract
All the symmetries and conservation laws of Navier-Stokes equations are calculated.
Similar content being viewed by others
References
PoochnachevV. V.: Group properties of Navier-Stokes equations in the flat case,J. Appl. Mech. Tech. Phys. 1 (1960), 83–90. (in Russian)
BytevV. O.: Group properties of Navier-Stokes equations,Numerical Methods of the Solid Medium,3 (1972), N. 3, Novosibirsk, Vych. Centr. Sibir. Otd. Acad. Nauk SSSR, pp. 13–17. (in Russian)
KrasilshchikI. S., LychaginV. V., and VinogradovA. M.:Geometry of Jet Spaces and Nonlinear Partial Differential Equations, Gordon and Breach, New York, 1986.
VinogradovA. M.: Symmetries and conservation laws of partial differential equations: Basic notions and results,Acta. Appl. Math. 15 (1989), 3–21.
VinogradovA. M.: Local symmetries and conservation laws,Acta Appl. Math. 2 (1984), 21–78.
VinogradovA. M.: TheC-spectral sequence, Lagrangian formalism and conservation laws. 1. The linear theory; 2. The nonlinear theory,J. Math. Anal. Appl. 100 (1984), 1–129.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Gusyatnikova, V.N., Yumaguzhin, V.A. Symmetries and conservation laws of Navier-Stokes equations. Acta Appl Math 15, 65–81 (1989). https://doi.org/10.1007/BF00131930
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00131930