Homogenization and localization  in locally periodic transport

Grégoire Allaire; Guillaume Bal; Vincent Siess

Displaying similar documents to “Homogenization and localization in locally periodic transport”

Mathematical and numerical analysis of a stratigraphic model

Véronique Gervais, Roland Masson (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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In this paper, we consider a multi-lithology diffusion model used in stratigraphic modelling to simulate large scale transport processes of sediments described as a mixture of lithologies. This model is a simplified one for which the surficial fluxes are proportional to the slope of the topography and to a lithology fraction with unitary diffusion coefficients. The main unknowns of the system are the sediment thickness , the surface concentrations $c_{i}^{s}$ in lithology of the sediments...

Méthodes géométriques et analytiques pour étudier l'application exponentielle, la sphère et le front d'onde en géométrie sous-riemannienne dans le cas Martinet

Bernard Bonnard, Monique Chyba (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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Consider a sub-riemannian geometry (U,D,g) where U is a neighborhood of 0 in R ³, D is a Martinet type distribution identified to ker ω, ω being the 1-form: $ω = d z - \frac{y^{2}}{2} d x$ , q=(x,y,z) and g is a metric on D which can be taken in the normal form:...

Minimax nonparametric hypothesis testing for ellipsoids and Besov bodies

Yuri I. Ingster, Irina A. Suslina (2010)

ESAIM: Probability and Statistics

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We observe an infinitely dimensional Gaussian random vector where is a sequence of standard Gaussian variables and is an unknown mean. We consider the hypothesis testing problem alternatives $H_{ε, τ} : v \in V_{ε}$ for the sets $V_{ε} = V_{ε} (τ, ρ_{ε}) \subset l_{2}$ . The sets are -ellipsoids of semi-axes with -ellipsoid of semi-axes removed or similar Besov bodies with Besov bodies removed. Here $τ = (κ, R)$ or $τ = (κ, h, t, R); κ = (p, q, r, s)$ are the parameters which define the sets for given radii , 0 < ; is the asymptotical...

Exponential convergence of quadrature for integral operators with Gevrey kernels

Alexey Chernov, Tobias von Petersdorff, Christoph Schwab (2011)

ESAIM: Mathematical Modelling and Numerical Analysis

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Galerkin discretizations of integral equations in $ℝ^{d}$ require the evaluation of integrals $I = \int_{S^{(1)}} \int_{S^{(2)}} g (x, y) d y d x$ where , are -simplices and has a singularity at = . We assume that is Gevrey smooth for $\neq$ and satisfies bounds for the derivatives which allow algebraic singularities at = . This holds for kernel functions commonly occurring in integral equations. We construct a family of quadrature rules $𝒬_{N}$ using function evaluations of which...