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Mild Solutions to Time Fractional Stochastic 2D-Stokes Equations with Bounded and Unbounded Delay
(Springer, 2019-11-19)
In this paper, the well-posedness of stochastic time fractional 2D-Stokes equations of order α ∈ (0, 1) containig finite or infinite delay with multiplicative noise is established, respectively, in the spaces C([−h, 0]; ...
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Optimal shape for elliptic problems with random perturbations
(American Institute of Mathematical Sciences, 2011-12)
In this paper we analyze the relaxed form of a shape optimization problem with state equation − div a(x)Du = f in D boundary conditions on ∂D. The new fact is that the term f is only known up to a random perturbation ξ(x, ...
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Study of the optimal harvesting control and the optimality system for an elliptic problem
(Society for Industrial and Applied Mathematics, 2003)
An optimal harvesting problem with concave non-quadratic cost functional and a diffusive degenerate elliptic logistic state equation type is investigated. Under certain assumptions, we prove the existence and uniqueness ...
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Three-dimensional system of globally modified Navier-Stokes equations with delay
(2010)
We prove the existence and uniqueness of strong solutions of a three-dimensional system of globally modified Navier–Stokes equations with delay in the locally Lipschitz case. The asymptotic behavior of solutions, and the ...
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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 ...
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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 ...
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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 ...
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Pathwise solutions and attractors for retarded SPDEs with time smooth diffusion coefficients
(American Institute of Mathematical Sciences, 2014-10)
In this paper we study the long-time dynamics of mild solutions to retarded stochastic evolution systems driven by a Hilbert-valued Brownian motion. As a preparation for this purpose we have to show the existence and ...
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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. ...
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Una nueva publicación: el SEMA Journal
(Real Sociedad Matematica Española, 2011)
Con gran alegría e ilusión, tenemos el honor de anunciar el primer volumen de una nueva revista científica, editada por la Sociedad Española de Matemática Aplicada (SEMA). Se denomina SEMA Journal. En este breve artículo, ...