Add to ORKGWe prove the strong compactness of the sequence ${c^{varepsilon}(mathbf{x},t)}$ in $L_2(Omega_T)$, $Omega_T={(mathbf{x},t):mathbf{x}inOmega subset mathbb{R}^3, tin(0,T)}$, bounded in $W^{1,0}_2(Omega_T)$ with the sequence of time derivative ${partial/partial tig(chi(mathbf{x}/varepsilon) c^{varepsilon}ig)}$ bounded in the space $L_2ig((0,T); W^{-1}_2(Omega)ig)$. As an application we consider the homogenization of a diffusion-convection equation with a sequence of divergence-free velocities ${mathbf{v}^{varepsilon}(mathbf{x},t)}$ weakly convergent in $L_2(Omega_T)$
The paper is devoted to a new approach of the homogenization of linear transport equations induced b...
. We study the behavior of oscillatory solutions to convection-diffusion problems, subject to initia...
We prove an upper bound for the convergence rate of the homogenization limit e ¿ 0 for a linear tran...
In the present publication we discuss the method, closed to the Aubin compactness lemmayesBS
In this paper we establish compactness results of multiscale and very weak multiscale type for seque...
The following typical problem occurs in passing to the limit in some phase field models: for two seq...
summary:This paper is devoted to the study of the linear parabolic problem $\varepsilon \partial _{t...
The following typical problem occurs in passing to the limit in some phase field models: for two sequ...
We study the homogenization of the equation R(epsilon(-1) x) partial derivative u(epsilon)/partial...
Abstract. We study the homogenization of the equation R(ε−1x)∂uε ∂t − ∆uε = f, where R is a periodic...
The aim of the paper is to introduce an alternative notion of two-scale convergence which gives a mo...
We study the homogenization of the equation $$ R(\eps^{-1}x){\partial u_{\eps} \over\partial t}-\Del...
Let $\Omega\subset \mathbb{R}^{n}$ be a regular domain and $\Phi(s)\in C_{\rm loc}(\mathbb{R})$ be ...
International audienceWe discuss several techniques for proving compactness of sequences of approxim...
We study the behavior of oscillatory solutions to convection-diffusion problems, subject to initial ...
The paper is devoted to a new approach of the homogenization of linear transport equations induced b...
. We study the behavior of oscillatory solutions to convection-diffusion problems, subject to initia...
We prove an upper bound for the convergence rate of the homogenization limit e ¿ 0 for a linear tran...
In the present publication we discuss the method, closed to the Aubin compactness lemmayesBS
In this paper we establish compactness results of multiscale and very weak multiscale type for seque...
The following typical problem occurs in passing to the limit in some phase field models: for two seq...
summary:This paper is devoted to the study of the linear parabolic problem $\varepsilon \partial _{t...
The following typical problem occurs in passing to the limit in some phase field models: for two sequ...
We study the homogenization of the equation R(epsilon(-1) x) partial derivative u(epsilon)/partial...
Abstract. We study the homogenization of the equation R(ε−1x)∂uε ∂t − ∆uε = f, where R is a periodic...
The aim of the paper is to introduce an alternative notion of two-scale convergence which gives a mo...
We study the homogenization of the equation $$ R(\eps^{-1}x){\partial u_{\eps} \over\partial t}-\Del...
Let $\Omega\subset \mathbb{R}^{n}$ be a regular domain and $\Phi(s)\in C_{\rm loc}(\mathbb{R})$ be ...
International audienceWe discuss several techniques for proving compactness of sequences of approxim...
We study the behavior of oscillatory solutions to convection-diffusion problems, subject to initial ...
The paper is devoted to a new approach of the homogenization of linear transport equations induced b...
. We study the behavior of oscillatory solutions to convection-diffusion problems, subject to initia...
We prove an upper bound for the convergence rate of the homogenization limit e ¿ 0 for a linear tran...