Almost Sure Existence of Global Weak Solutions for Supercritical Navier--Stokes Equations
In this paper we show that after suitable data randomization there exists a large set of supercritical periodic initial data, in $H^{-\alpha}(\boldsymbol{T}^d)$ for some $\alpha(d) > 0$, for both two- and three-dimensional Navier--Stokes equations for which global energy bounds hold. As a consequ...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
Society for Industrial and Applied Mathematics
2014
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| Online Access: | http://hdl.handle.net/1721.1/86028 |