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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2018 Volume 477, Pages 136–149 (Mi znsl6742)

On type I blow up for the Navier–Stokes equations near the boundary

M. Chernobay

St. Petersburg State University, Mathematics and Mechanics Faculty, St. Petersburg, Russia

Abstract: For suitable weak solutions to the Navier–Stokes equations a new sufficient condition for the uniform boundeness of the scale invariant energy functionals near a boundary point is established.

Key words and phrases: Navier–Stokes equations, weak solutions, boundary regularity.

Received: 27.09.2018

Language: English



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