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Homogenization of non-uniformly bounded periodic diffusion energies in dimension two
(IOP Publishing, 2009)
This paper deals with the homogenization of two-dimensional oscillating convex functionals, the densities of which are equicoercive but not uniformly bounded from above. Using a uniform-convergence result for the minimizers, ...
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A Non-Autonomous Strongly Damped Wave Equation: Existence and Continuity of the Pullback Attractor
(2011)
In this paper we consider the strongly damped wave equation with time dependent terms utt − u − γ(t) ut + β"(t)ut = f(u), in a bounded domain ⊂ Rn, under some restrictions on β"(t), γ(t) and growth restrictions on the ...
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Attractors for The Stochastic 3D Navier-Stokes Equations
(World Scientific Publishing, 2003)
In a 1997 paper, Ball defined a generalised semiflow as a means to consider the solutions of equations without (or not known to possess) the property of uniqueness. In particular he used this to show that the 3D Navier–Stokes ...
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Recursive POD expansion for the advection-diffusion-reaction equation
(Global Science Press, 2018-11)
This paper deals with the approximation of advection-diffusion-reaction equation solution by reduced order methods. We use the Recursive POD approximation for multivariate functions introduced in [M. AZAÏEZ, F. BEN BELGACEM, ...
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Un método de elementos finitos incondicionalmente estable en norma uniforme para resolver las ecuaciones de Euler 2D
(Universitat Politècnica de Catalunya, 1993)
Este trabajo presenta dos algoritmos de tipo transporte e interpolación con Elementos Finitos para la resolución numérica de las ecuaciones de Euler para flujos incompresibles bidimensionales en todo el espacio IR2. En la ...
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Homogenization of a large eddy simulation model for turbulent fluid motion near a rough wall
(Springer, 2018-12)
In this paper, we are interested in the numerical simulation of a turbulent viscous flow in the vicinity of a periodic rough wall. To this aim, we consider a large eddy simulation (LES) model, and perform its asymptotic ...
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Practical stability of stochastic delay evolution equations
(Springer, 2015-04-23)
In this paper we investigate the almost sure practical stability for a class of stochastic functional evolution equations. We establish some sufficient conditions based on the construction of appropriate Lyapunov functional. ...
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Linear non-local diffusion problems in metric measure spaces
(Cambrigde Core, 2016-07-19)
The aim of this paper is to provide a comprehensive study of some linear non-local diffusion problems in metric measure spaces. These include, for example, open subsets in ℝN, graphs, manifolds, multi-structures and some ...
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Non-autonomous morse-decomposition and Lyapunov functions for gradient-like processes
(2013)
We define (time dependent) Morse-decompositions for non-autonomous evolution processes (non-autonomous dynamical systems) and prove that a non-autonomous gradient-like evolution process possesses a Morsedecomposition on ...
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Analysis of a stochastic SIR model with fractional Brownian motion
(Taylor & Francis, 2018)
In this article, a stochastic version of a SIR nonautonomous model previously introduced in Kloeden and Kozyakin (2011) is considered. The noise considered is a fractional Brownian motion which satisfies the property of ...