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Partial Regularity in Navier-Stokes Solutions by Michael Raba is a document available to read on EtoBox.
What is Partial Regularity in Navier-Stokes Solutions about?
The document discusses regularity results for the Navier-Stokes equations. It presents a theorem that proves local partial regularity of suitable weak solutions, where the solutions are locally bounded except on a singular set of dimension less than or equal to 1. The author argues that estimates of the pressure are not essential to this result. They prove a similar local regularity result for weak solutions in 5 dimensions using techniques from elliptic systems, without relying on pressure estimates. This
- Author
- Michael Raba
- Language
- EN