University of Dschang, Cameroon
Mathematics and Computer Science
We are concerned with the homogenization problem for a Wilson and Cowan model for neural fields equations in a bounded domain. Due to the presence of convolution terms, we prove some general convergence results related to convolution... more
We study the existence and almost periodic homogenization of some model of generalized Navier–Stokes equations. We establish an existence result for nonstationary Ladyzhenskaya equations with a given nonconstant density and an external... more
Abstract Reiterated deterministic homogenization problem for nonlinear pseudo monotone parabolic type operators is considered beyond the usual periodic setting. We present a new approach based on the generalized Besicovitch type spaces,... more
The purpose of the present work is to introduce a framework which enables us to study nonlinear homogenization problems. The starting point is the theory of algebras with mean value. Very often in physics, from very simple experimental... more
Abstract This paper is devoted to the homogenization beyond the periodic setting, of nonlinear monotone operators in a domain in ℝ N with isolated holes of size ɛ 2 (ɛ> 0 a small parameter). The order of the size of the holes is twice... more
Abstract. We study, beyond the classical periodic setting, the homogenization of linear and nonlinear parabolic differential equations associated with monotone operators. The usual periodicity hypothesis is here substituted by an abstract... more
Abstract: Motivated by the fact that in nature almost all phenomena behave randomly in some scales and deterministically in some other scales, we build up a framework suitable to tackle both deterministic and stochastic homogenization... more
Homogenization of a stochastic nonlinear reaction–diffusion equation with a large nonlinear term is considered. Under a general Besicovitch almost periodicity assumption on the coefficients of the equation we prove that the sequence of... more
Abstract: In several works, the theory of strongly continuous groups is used to build a framework for solving stochastic homogenization problems. Following this idea, we construct a detailed and comprehensive theory of homogenization.
We study in this article the periodic homogenization problem related to a strongly nonlinear reaction–diffusion equation. Owing to the large reaction term, the homogenized equation has a rather quite different form which puts together... more
Abstract: In this paper, we show that the concept of sigma-convergence associated to stochastic processes can tackle the homogenization of stochastic partial differential equations. In this regard, the homogenization problem for a... more
In this paper we discuss the concept of stochastic two-scale convergence, which is appropriate to solve coupled-periodic and stochastic homogenization problems. This concept is a combination of both well-known two-scale convergence and... more
Abstract This paper addresses the problem of tracking a dim moving point target in a sequence of IR images. The proposed tracking system, based on the track-before-detect (TBD) approach, is designed to track and detect dim maneuvering... more
Abstract. In some recent papers, the homogenization beyond the periodic setting was addressed in a general deterministic environment. All the problems studied were dealing with the homogenization in fixed domains as well as in porous... more