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A streamline derivative POD-ROM for advection-diffusion-reaction equations
(EDP Sciences, 2018-10)
We introduce a new streamline derivative projection-based closure modeling strategy for the numerical stabilization of Proper Orthogonal Decomposition-Reduced Order Models (PODROM). As a first preliminary step, the proposed ...
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A stochastic SIRI epidemic model with relapse and media coverage
(American Institute of Mathematical Sciences, 2018)
This work is devoted to investigate the existence and uniqueness of a global positive solution for a stochastic epidemic model with relapse and media coverage. We also study the dynamical properties of the solution around ...
Artículo
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Synchronization of Systems with Multiplicative Noise
(2008)
The synchronization of Stratonovich stochastic di erential equations (SDE) with a one-sided dissipative Lipschitz drift and linear multiplicative noise is investigated by transforming the SDE to random ordinary di erential ...
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Random attractors for stochastic lattice dynamical systems with infinite multiplicative white noise
(2016)
In this paper we investigate the long term behavior of a stochastic lattice dynamical system with a diffusive nearest neighbor interaction, a dissipative nonlinear reaction term, and a different multiplicative white noise ...
Artículo
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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 ...
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An overview on numerical analyses of nematic liquid crystal flows
(Springer, 2011-09)
The purpose of this work is to provide an overview of the most recent numerical developments in the field of nematic liquid crystals. The Ericksen-Leslie equations govern the motion of a nematic liquid crystal. This system, ...
Artículo
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Dynamics of some stochastic chemostat models with multiplicative noise
(American Institute of Mathematical Sciences, 2017-08)
In this paper we study two stochastic chemostat models, with and without wall growth, driven by a white noise. Specifically, we analyze the existence and uniqueness of solutions for these models, as well as the existence ...
Artículo
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Stochastic lattice dynamical systems with fractional noise
(Society for Industrial and Applied Mathematics, 2017)
This article studies stochastic lattice dynamical systems driven by a fractional Brownian motion with Hurst parameter H ∈ (1/2, 1). First of all, we investigate the existence and uniqueness of pathwise mild solutions to ...
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Asymptotic behaviour of global solutions to a model of cell invasion
(World Scientific, 2010-09)
In this paper we analyze a mathematical model focusing on key events of the cells invasion process. Global well-possedness and asymptotic behaviour of nonnegative solutions to the corresponding coupled system of three ...