Topical Problems of Fluid Mechanics


Institute of Thermomechanics AS CR, v.v.i.	CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics	MIO Université du Sud Toulon Var - AMU - CNRS - IRD	Czech Pilot centre ERCOFTAC

On the Motion of Viscous Incompressible Fluid Flow: The Navier - Stokes Equations
W. Varnhorn
Abstract:
The present paper deals with the construction of weak solutions to the Navier-Stokes equations in both the stationary and the non-stationary case. The methods is based on a sophisticated coupling between the Lagrangian and the Eulerian description of fluid flow being able to conserve the energy.
Keywords:
Navier-Stokes equations, Lagrangian representation, weak solutions

Fulltext: PDF DOI: https://doi.org/10.14311/TPFM.2018.042

In Proceedings Topical Problems of Fluid Mechanics 2018, Prague, 2018 Edited by David Šimurda and Tomáš Bodnár, pp. 315-324 ISBN 978-80-87012-65-9 (Print) ISSN 2336-5781 (Print)