A simple proof of existence of weak and statistical solutions of Navier–Stokes equations
Authors:
- 8 January 1992
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences
- Vol. 436 (1896) , 1-11
Abstract
The Galerkin approximation to the Navier–Stokes equations in dimension N, where N is an infinite non-standard natural number, is shown to have standard part that is a weak solution. This construction is uniform with respect to non-standard representation of the initial data, and provides easy existence proofs for statistical solutions.Keywords
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