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Two-Dimensional Div-Curl Results: Application to the Lack of Nonlocal Effects in Homogenization
(Taylor & Francis, 2007-06-06)
In this paper, we study the asymptotic behaviour of sequences of conduction problems and sequences of the associated diffusion energies. We prove that, contrary to the three-dimensional case, the boundedness of the ...
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Homogeneización, convergencia en dos escalas y espacios de Besicovitch generalizados
(Sociedad Española de Matemática Aplicada, 2002-05)
En este trabajo resumiré los resultados obtenidos con J. Casado Díaz sobre los espacios de Besicovitch generalizados y sus aplicaciones a la Homogeneización de problemas lineales y no lineales con coeficientes casi periódicos.
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A note on a degenerate elliptic equation with applications for lakes and seas
(Texas State University, 2004)
In this paper, we give an intermediate regularity result on a degenerate elliptic equation with a weight blowing up on the boundary. This kind of equations is encountoured when modelling some phenomena linked to seas or ...
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New sufficient conditions for global asymptotic stability of a kind of nonlinear neutral differential equations
(DOAJ, 2021-09)
This paper addresses the stability study for nonlinear neutral differ ential equations. Thanks to a new technique based on the fixed point theory, we find some new sufficient conditions ensuring the global asymp totic ...
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Some eigenvalue problems with non-local boundary conditions and applications
(American Institute of Mathematical Sciences, 2014-11)
In this paper we study an elliptic eigenvalue problem with non-local boundary condition. We prove the existence of the principal eigenvalue and its main properties. As consequence, we show the existence and uniqueness of ...
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Periodic measures for the stochastic delay modified Swift-Hohenberg lattice systems
(ScienceDirect, 2023-03-19)
In this paper, the existence and the limiting behavior of periodic measures for the periodic stochastic modified Swift-Hohenberg lattice systems with variable delays are analyzed. We first prove the existence and uniqueness ...
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Dynamics of fermentation models for the production of dry and sweet wine
(AIMS, 2020-01-01)
In thisworkweconsidertwoclassicalmathematicalmodelsofwine fermentation.Thefirstmodeldescribesthewine-makingprocessthatisused to producedrywine.Thesecondmodelisobtainedbyintroducingatermin the equationofthedynamicsofth ...
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Existence of a sequence satisfying Cioranescu-Murat conditions in homogenization of Dirichlet problems in perforated domains
(Sapienza Università di Roma, 1996)
In a paper of 1982, D. Cioranescu and F. Murat considered the problem satisfied by the limit u of the sequence un solution of 0 −∆un = f in Ωn, un = 0 on ∂Ωn, where Ωn is a sequence of open sets which are contained in a ...
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Dynamics and large deviations for fracional stochastic partial differential equations with Lévy noise
(Society for Industrial and Applied Mathematics, 2024-01-29)
This paper is mainly concerned with a kind of fractional stochastic evolution equa-tions driven by L\'evy noise in a bounded domain. We first state the well-posedness of the problem viaiterative approximations and energy ...
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A qualitative description of microstructure formation and coarsening phenomena for an evolution equation
(Springer, 2017-04)
We provide a qualitative description of microstructure formation and coarsening phenomena for the solutions of a singularly perturbed fourth order evolution equation arising in the study of phase transitions. In particular ...