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Stochastic stabilization of differential systems with general decay rate
(2003)
Some sufficient conditions concerning stability of solutions of stochastic differential evolution equations with general decay rate are first proved. Then, these results are interpreted as suitable stabilization ones for ...
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Observability inequalities on measurable sets for the stokes system and applications
(SIAM, 2020-07-29)
In this paper, we establish spectral inequalities on measurable sets of positiveLebesgue measure for the Stokes operator, as well as observability inequalities on space-time mea-surable sets of positive ...
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Stability of stationary solutions to 2D-Navier-Stokes models with delays
(International Press, 2014)
In this paper we establish some sufficient conditions for the exponential stability of the stationary solution to a two-dimensional Navier-Stokes model with delay in the forcing term. We are able to cover several situation ...
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On the boundary controllability of incompressible Euler fluids with Boussinesq heat effects
(Springer, 2015-12-30)
This paper deals with the boundary controllability of inviscid incompressible fluids for which thermal effects are important. They will be modeled through the so-called Boussinesq approximation. In the zero heat diffusion ...
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Mathematical modelling of cancer invasion of tissue the role and effect of nonlocal interactions
(World Scientific, 2009-02)
In this paper we consider a mathematical model of cancer cell invasion of tissue (extracellular matrix). Two crucial components of tissue invasion are (i) cancer cell proliferation, and (ii) over-expression and secretion ...
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Nonlinear nonlocal reaction-diffusion problem with local reaction
(AIMS, 2022-04-04)
In this paper we analyse the asymptotic behaviour of some nonlocal diffusion problems with local reaction term in general metric measure spaces. We find certain classes of nonlinear terms, including logistic type terms, for ...
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Dynamics of Riemann waves with sharp measure-controlled damping
(Cornell University, 2019-08-13)
This paper is concerned with locally damped semilinear wave equations defined on compact Riemannian manifolds with boundary. We present a construction of measure-controlled damping regions which are sharp in the sense ...
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The stability of attractors for non-autonomous perturbations of gradient-like systems
(Elsevier, 2007-03-15)
We study the stability of attractors under non-autonomous perturbations that are uniformly small in time. While in general the pullback attractors for the nonautonomous problems converge towards the autonomous attractor ...
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A Lotka-Volterra symbiotic model with cross-diffusion
(Elsevier, 2009-03-01)
The main goal of this paper is to study the existence and non-existence of coexistence states for a Lotka-Volterra symbiotic model with cross-diffusion. We use mainly bifurcation methods and a priori bounds to give sufficient ...
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Global Attractors for Multivalued Random Dynamical Systems
(2002)
We introduce the concept of multivalued random dynamical system (MRDS) as a measurable multivalued flow satisfying the cocycle property. We show how this is a suitable framework for the study of the asymptotic behaviour ...