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1
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Gradient systems of closed operators

100%
Pata V.
Open Mathematics
|
2009
|
tom 7
|
nr 3
487-492
EN
A classical result on the existence of global attractors for gradient systems is extended to the case of a semigroup S(t) lacking strong continuity, but satisfying the weaker property of being a closed map for every fixed t ≥ 0.
2
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Limit laws for products of free and independent random variables

63%
Bercovici H., Pata V.
Studia Mathematica
|
2000
|
tom 141
|
nr 1
43-52
EN
We determine the distributional behavior of products of free (in the sense of Voiculescu) identically distributed random variables. Analogies and differences with the classical theory of independent random variables are then discussed.
3
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A regularity criterion for the Navier-Stokes equations in terms of the pressure gradient

51%
Bosia S., Conti M., Pata V.
Open Mathematics
|
2014
|
tom 12
|
nr 7
1015-1025
EN
The incompressible three-dimensional Navier-Stokes equations are considered. A new regularity criterion for weak solutions is established in terms of the pressure gradient.
4
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Decay rates of Volterra equations on ℝN

51%
Conti M., Gatti S., Pata V.
Open Mathematics
|
2007
|
tom 5
|
nr 4
720-732
EN
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.
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