Regularity criterion in terms of pressure for the Navier-Stokes equations. (English) Zbl 1007.35064

Chae, Dongho; Lee, Jihoon

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 46, No. 5, 727-735 (2001).

For the initial value problem for incompressible Navier-Stokes equations, the authors derive regularity criterion in terms of pressure norm in suitable functional spaces with appropriate restriction on the space parameters. The criterion is applied to the proof of regularity of weak Leray-Hopf solutions.

Reviewer: Oleg Titow (Berlin)

MSC:

35Q30	Navier-Stokes equations
76D03	Existence, uniqueness, and regularity theory for incompressible viscous fluids
76D05	Navier-Stokes equations for incompressible viscous fluids

Keywords:

initial value problem; incompressible Navier-Stokes equations; regularity criterion; pressure norm; weak Leray-Hopf solution

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