The application of a class of infinite-dimensional lie groups to the dynamics of an incompressible fluid

DOI10.1016/S0021-8928(03)90042-6zbMath1150.35507OpenAlexW1972336998MaRDI QIDQ5318140

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Publication date: 21 September 2005

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-8928(03)90042-6

zbMATH Keywords

Euler and Navier--Stokes equationsideal and incompressible liquid

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Incompressible inviscid fluids (76B99)

Cites Work

• Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
• Topological methods in hydrodynamics
• On a differential structure for the group of diffeomorphisms
• Groups of diffeomorphisms and the motion of an incompressible fluid
• The Bondi—Metzner—Sachs group in the nuclear topology
• Abstract structure for Lie pseudogroups
• Contact topology and hydrodynamics III: knotted orbits
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