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Artículo
Certified Reduced Basis VMS-Smagorinsky model for natural convection ow in a cavity with variable height
(ScienceDirect, 2020-02-03)
In this work we present a Reduced Basis VMS-Smagorinsky Boussinesq model, applied to natural convection problems in a variable height cavity, in which the buoyancy forces are involved. We take into account in this problem ...
Artículo
A posteriori variational multiscale methods for the 1D convection-diffusion equations
(Académie des Sciences, 2023-06-09)
The present work is a continuation of a paper presented by the two first authors in the proceedings of the “Computational Science for the 21st century” conference held in Tours in 1997 honouring the 60th birthday of Roland ...
Artículo
A mixed nonlinear time-fractional Rayleigh-Stokes equation
(AIMS, 2022-07-01)
. This paper investigates a nonlinear time-fractional Rayleigh-Stokes equation with mixed nonlinearities containing a power-type function, a logarithmic function and an inverse time-forcing term. Applying Lagrange’s ...
Artículo
Lyapunov functionals and practical stability for stochastic differential delay equations with general decay rate
(Bolyai Institute, University of Szeged, 2022-12-01)
This paper stands for the almost sure practical stability of nonlinear stochastic differential delay equations (SDDEs) with a general decay rate. We establish some sufficient conditions based upon the construction of ...
Artículo
Dynamics of multi-valued retarded p-Laplace equations driven by nonlinear colored noise
(American Institute of Physics, 2023-03-21)
This paper mainly considers the long-term behavior of p-Laplace equations with infinite delays driven by nonlinear colored noise. We firstly prove the existence of weak solutions to the equation, but the uniqueness of ...
Artículo
Analysis of a stochastic distributed delay epidemic model with relapse and Gamma distribution kernel
(Elsevier, 2020-04)
In this work, we investigate a stochastic epidemic model with relapse and distributed delay. First, we prove that our model possesses and unique global positive solution. Next, by means of the Lyapunov method, we determine ...
Artículo
Asymptotic behavior of a semilinear problem in heat conduction with long time memory and non-local diffusion
(Elsevier, 2022-08)
In this paper, the asymptotic behavior of a semilinear heat equation with long time memory and non-local diffusion is analyzed in the usual set-up for dynamical systems generated by differential equations with delay ...
Artículo
Applied Machine Learning Algorithms for Courtyards Thermal Patterns Accurate Prediction
(MDPI, 2021-05-18)
Currently, there is a lack of accurate simulation tools for the thermal performance modeling of courtyards due to their intricate thermodynamics. Machine Learning (ML) models have previously been used to predict and evaluate ...
Artículo
Invariant sample measures and random Liouville type theorem for the two-dimensional stochastic Navier-Stokes equations
(Elsevier, 2022-02-17)
In this article, we first prove some sufficient conditions guaranteeing the existence of invariant sample measures for random dynamical systems via the approach of global random attractors. Then we consider the two-dimensional ...
Artículo
The asymptotic behaviour of solutions for stochastic evolution equations with pantograph delay
(World scientific, 2023-03-14)
The polynomial stability problem of stochastic delay differential equations has been studied in recent years. In contrast, there are relatively few works on stochastic partial differential equations with pantograph delay. ...