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Artículo
On the approximate and null controllability of the Navier-Stokes equations
(Society for Industrial and Applied Mathematics, 1999-06)
This paper presents some known results on the approximate and null controllability of the Navier–Stokes equations. All of them can be viewed as partial answers to a conjecture of J.-L. Lions.
Artículo
On Exponential Stability Criteria of Stochastic Partial Differential Equations
(1999)
Some criteria for the mean square and almost sure exponential stability of nonlinear stochastic partial differential equations are shown in this paper. In particular, the main results obtained in Caraballo and Real (1994) ...
Artículo
Coupling the Stokes and Navier-Stokes equations with two scalar nonlinear parabolic equations
(EDP Sciences, 1999)
This work deals with a system of nonlinear parabolic equations arising in turbulence modelling. The unknowns are the N components of the velocity field u coupled with two scalar quantities θ and ϕ. The system presents ...
Artículo
Determining asymptotic behavior from the dynamics on attracting sets
(Springer, 1999-04)
Two tracking properties for trajectories on attracting sets are studied. We prove that trajectories on the full phase space can be followed arbitrarily closely by skipping from one solution on the global attractor to ...
Artículo
Tracking Properties of Trajectories On Random Attracting Sets
(1999)
The theory of random attracting sets highlights interesting properties of the asymptotic behaviour of some stochastic differential equations. In this paper some results on the relation between the dynamics on random ...
Artículo
Exponential Stability of Mild Solutions of Stochastic Partial Differential Equations with Delays
(1999)
A semilinear stochastic partial differential equation with variable delays is considered. Sufficient conditions for the exponential stability in the p–th mean of mild solutions are obtained. Also, pathwise exponential ...