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Sufficient conditions for the regularity of the solutions of the Navier–Stokes equations

✍ Scribed by Luigi C. Berselli

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
101 KB
Volume
22
Category
Article
ISSN
0170-4214

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✦ Synopsis

In this paper we "nd su$cient conditions, involving only the pressure, that ensure the regularity of weak solutions to the Navier}Stokes equations. Conditions involving only the pressure were previously obtained in [7,4]. Following a remark in this last reference we improve, in particular, Kaniel's result [7]. Our condition can be seen at the light of the heuristic idea that the pressure behaves similarly to the modulus squared of the velocity.

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