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Weak solutions to the Navier-Stokes equations with bounded scale-invariant quantities

Abstract:

The main assumption of the so-called ε-regularity theory of suitable weak solutions to the Navier-Stokes equations is uniform smallness of certain scale-invariant quantities, which rules out singularities. One of the best results of ε-regularity is the famous Caffarelli-Kohn-Nirenberg theorem. Our goal is to understand what happens if the assumption on smallness of scale-invariant quantities is replaced with their uniform boundedness. The latter makes it possible to use blow-up technique and ...

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Authors


Seregin, GA More by this author
Pages:
2105-2127
Publication date:
2010
URN:
uuid:e5f199d6-4981-44e2-9318-1db638e96e54
Source identifiers:
252470
Local pid:
pubs:252470
ISBN-10:
9814324302
ISBN-13:
9789814324304

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