We review existence and non-uniqueness results for the Euler equation of fluid flow. These results are placed in the context of physical models and their solutions. Non-uniqueness is in direct conflict with the purpose of practical simulations, so that a mitigating strategy, outlined here, is important. We illustrate these issues in an examination of mesh converged turbulent statistics, with comparison to laboratory experiments.
One contribution of 15 to a theme issue ‘Free boundary problems and related topics’.
- Accepted January 8, 2015.
- © 2015 The Author(s) Published by the Royal Society. All rights reserved.