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Discontinuous stochastic modelling and discrete numerical approximation for Tuberculosis model with relapse
(Elsevier, 2023-10-22)
The objective of this paper is to study a stochastic epidemiological model with infinite Lévy measure and relapse. Using stochastic tools, we prove the existence and uniqueness of global positive solution. Moreover, we ...
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Almost periodic and almost automorphic solutions of linear differential/difference equations without Favard's separation condition. II
(2009)
In this paper we continue the research started in a previous paper, where we proved that the linear differential equation (1) x0 = A(t)x + f(t) with Levitan almost periodic coefficients has a unique Levitan almost periodic ...
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Effects of small boundary perturbation on the MHD duct flow
(Serbian Society of Mechanics / Mathematical Institute of the Serbian Academy of Sciences and Arts, 2017)
In this paper, we investigate the effects of small boundary perturbation on the laminar motion of a conducting fluid in a rectangular duct under applied transverse magnetic field. A small boundary perturbation of magnitude ...
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Corrigendum to the paper: Existence and stability results for semilinear systems of impulsivestochastic differential equations with fractionalBrownian motion. Stoch. Anal. Appl. 34 (2016), no. 5, 792–834
(Taylor & Francis, 2017-08)
In this paper we correct an error made in our paper [Blouhi, T.; Caraballo, T.; Ouahab, A. Existence and stability results for semilinear systems of impulsive stochastic differential equations with fractional Brownian ...
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Non-autonomous nonlocal partial differential equations with delay and memory
(Elsevier [Commercial Publisher], Academic Press [Associate Organisation], 2020-09-15)
The paper addresses a kind of non-autonomous nonlocal parabolic equations when the external force contains hereditary characteristics involving bounded and unbounded delays. First, well-posedness of the problem is analyzed ...
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Stabilisation of differential inclusions and PDEs without uniqueness by noise
(2008)
We prove that the asymptotic behaviour of partial differential inclusions and partial differential equations without uniqueness of solutions can be stabilised by adding some suitable Itˆo noise as an external perturbation. ...
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Quasiconvexification in 3-D for a variational reformulation of an optimal design problem in conductivity
(Elsevier, 2006-05-01)
We analyze a typical 3-D conductivity problem which consists in seeking the optimal layout of two materials in a given design domain Ω ⊂ IR3 by minimizing the L2-norm of the electric field under a constraint on the amount ...
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Effects of rough boundary and nonzero boundary conditions on the lubrication process with micropolar fluid
(Elsevier, 2018)
The lubrication theory is mostly concerned with the behavior of a lubricant flowing through a narrow gap. Motivated by the experimental findings from the tribology literature, we take the lubricant to be micropolar fluid ...
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Asymptotic behaviour of nonlocal p-Laplacian reaction-diffusion problems
(Elsevier, 2018-03)
In this paper, we focus on studying the existence of attractors in the phase spaces L2(Ω) and Lp(Ω) (among others) for time-dependent p-Laplacian equations with nonlocal diffusion and nonlinearities of reaction-diffusion ...
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Local null controllability of a 1D Stefan problem
(Springer, 2018)
The purpose of this article is to give a new proof of a null controllability result for a 1D free-boundary problem of the Stefan kind for a heat PDE. We introduce a method based on local inversion that, in contrast with ...