23 citations · 85 across the 21 of their papers we have counts for
19 papers · 1 filter
Surface-to-Volume Homogenization of NonLinear Steklov Eigencouples with NonHomogeneous Orlicz Growth in Perforated Domains
Hermann Douanla, Hubert Nnang, Joel Fotso Tachago +1
We study normalized principal Steklov eigencouples on periodically perforated domains when both the bulk energy and the boundary normalization have general, possibly nonhomogeneous…
Derivation and analysis of a nonlocal Hele-Shaw-Cahn-Hilliard system for flow in thin heterogeneous layers
Giuseppe Cardone, Willi Jäger, Jean Louis Woukeng
We derive, through the deterministic homogenization theory in thin domains, a new model consisting of Hele-Shaw equation with memory coupled with the convective Cahn-Hilliard equat…
Sigma-convergence for thin heterogeneous domains and application to the upscaling of Darcy-Lapwood-Brinkmann flow
Willi Jäger, Jean Louis Woukeng
The sigma-convergence concept has been up to now used to derive macroscopic models in full space dimensions. In this work, we generalize it to thin heterogeneous domains given rise…
Homogenization of 2D Cahn-Hilliard-Navier-Stokes system
Renata Bunoiu, Giuseppe Cardone, Romaric Kengne +1
In the current work, we are performing the asymptotic analysis, beyond the periodic setting, of the Cahn-Hilliard-Navier-Stokes system. Under the general deterministic distribution…
Homogenization of Linear Boltzmann Equations in the Context of Algebras with Mean Value
Patrick Fouegap, Rodrigue Kenne B., Gabriel Nguetseng +2
The paper deals with the homogenization of a linear Boltzmann equation by the means of the sigma-convergence method. Under a general deterministic assumption on the coefficients of…
Deterministic homogenization of elliptic equations with lower order terms
Renata Bunoiu, Giuseppe Cardone, Willi Jäger +1
For a class of linear elliptic equations of general type with rapidly oscillating coefficients, we use the sigma-convergence method to prove the homogenization result and a correct…
Approximation of homogenized coefficients in deterministic homogenization and convergence rates in the asymptotic almost periodic setting
Willi Jäger, Antoine Tambue, Jean Louis Woukeng
For a homogenization problem associated to a linear elliptic operator, we prove the existence of a distributional corrector and we find an approximation scheme for the homogenized…
Well-posedness and Long-time Behaviour for a Nonlinear Parabolic Equation with Hysteresis
Achille Landri Pokam Kakeu, Jean Louis Woukeng
The work deals with a study of a nonlinear parabolic equation with hysteresis, containing a nonlinear monotone operator in the diffusion term. The well-posedness of the model equat…
Multiscale analysis of semilinear damped stochastic wave equations
Aurelien Fouetio, Gabriel Nguetseng, Jean Louis Woukeng
In this paper we proceed with the multiscale analysis of semilinear damped stochastic wave motions. The analysis is made by combining the well-known sigma convergence method with i…
Sigma-convergence of semilinear stochastic wave equations
Gabriel Deugoue, Jean Louis Woukeng
We address the homogenization of a semilinear hyperbolic stochastic partial differential equation with highly oscillating coefficients, in the context of ergodic algebras with mean…
Homogenization of reaction-diffusion equations in fractured porous media
Hermann Douanla, Jean Louis Woukeng
The paper deals with the homogenization of reaction-diffusion equations with large reaction terms in a multi-scale porous medium. We assume that the fractures and pores are equidis…
Asymptotic behaviour of viscoelastic composites with almost periodic microstructures
Jean Louis Woukeng
In this paper we study the acoustic properties of porous media saturated by an incompressible viscoelastic fluid. The model considered here consists of a linear deformable porous s…
Nonlocal Stokes-Vlasov system: Existence and deterministic homogenization results
Gabriel Nguetseng, Celestin Wafo Soh, Jean Louis Woukeng
Our work deals with the systematic study of the coupling between the nonlocal Stokes system and the Vlasov equation. The coupling is due to a drag force generated by the fluid-part…
Multiscale nonlocal flow in a fractured porous medium
Jean Louis Woukeng
We study the flow generated by an incompressible viscoelastic fluid in a fractured porous medium. The model consists of a fluid flow governed by Stokes-Volterra equations evolving…
Almost periodic homogenization of a generalized Ladyzhenskaya model for incompressible viscous flow
Hermann Douanla, Jean Louis Woukeng
The paper deals with the existence and almost periodic homogenization of some model of generalized Navier-Stokes equations. We first establish an existence result for non-stationar…
Homogenization of a Wilson-Cowan model for neural fields
Nils Svanstedt, Jean Louis Woukeng
Homogenization of Wilson-Cowan type of nonlocal neural field models is investigated. Motivated by the presence of a convolution terms in this type of models, we first prove some ge…
Periodic Homogenization of strongly nonlinear reaction-diffusion equations with large reaction terms
Nils Svanstedt, Jean Louis Woukeng
We study in this paper the periodic homogenization problem related to a strongly nonlinear reaction-diffusion equation. Owing to the large reaction term, the homogenized equation h…
Homogenization of nonlinear stochastic partial differential equations in a general ergodic environment
Paul André Razafimandimby, Jean Louis Woukeng
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…
Stochastic sigma-convergence and applications
Mamadou Sango, Jean Louis Woukeng
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…