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A regularity criterion for the Navier-Stokes equations in terms of the pressure gradient

100%

Bosia S., Conti M., Pata V.

Open Mathematics

2014

tom 12

nr 7

1015-1025

The incompressible three-dimensional Navier-Stokes equations are considered. A new regularity criterion for weak solutions is established in terms of the pressure gradient.

Decay rates of Volterra equations on ℝN

100%

Conti M., Gatti S., Pata V.

Open Mathematics

2007

tom 5

nr 4

720-732

This note is concerned with the linear Volterra equation of hyperbolic type $$\partial _{tt} u(t) - \alpha \Delta u(t) + \int_0^t {\mu (s)\Delta u(t - s)} ds = 0$$ on the whole space ℝN. New results concerning the decay of the associated energy as time goes to infinity were established.

Ograniczanie wyników

2 Open Mathematics

2 Conti M.

2 Pata V.

1 Bosia S.

1 Gatti S.

1 2014

1 2007

Wyniki wyszukiwania

A regularity criterion for the Navier-Stokes equations in terms of the pressure gradient

Decay rates of Volterra equations on ℝN