β Scribed by Reimund Rautmann; Vsevolod Solonnikov
No coin nor oath required. For personal study only.
The velocity $ \vec v $ of an incompressible flow in a bounded threeβdimensional domain is represented by its vorticity $ \vec j $ with the help of an apparently new representation formula. Using this formula we prove a quasiβLipschitz estimate for $ \vec v $ in dependence of the supremum norm of $ \vec j $. Our quasiβLipschitz bound extends to the case where $ \vec v $ is represented by any continuous $ \vec j $ β rot $ \vec v $
π SIMILAR VOLUMES
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