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BSDE driven by Dirichlet process and semi-linear parabolic PDE. Application t...
Backward stochastic differential equations (BSDE) also gives the weak solution of a semi-linear system of parabolic PDEs with a second-order divergence-form partial... -
Source Correlation in Randomly Excited Complex Media
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Stochastic representation for anisotropic permeability tensor random fields
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Homogenization of Elliptic Difference Operators
We develop some aspects of general homogenization theory for second order elliptic difference operators and consider several models of homogenization problems for... -
3D morphological and micromechanical modeling of cementitious materials
The goal of this thesis is to develop morphological models of cementitious materials and use these models to study their local and effective response. To this aim, 3D... -
Localization of a polymer interacting with an interface.
We study different models of polymers (discrete and continuous) in the neighborhood of an interface between two solvents<br />(oil-water). These models give rise... -
Tensor-valued random fields for meso-scale stochastic model of anisotropic el...
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Probabilistic model of human cortical bones with uncertain mechanical propert...
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Ultrasonic wave propagation in random media under a matrix-operator approach
This manuscript is devoted to the study of the ultrasonic wave propagation operator in random media. The experimental set up consists in a multi-element array placed... -
Mathematical Morphology and Modeling of Random Media
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Anisotropic transport and diffusion of elastic waves in random media
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Homogenization results for a linear dynamics in random Glauber type environment
We consider an energy conserving linear dynamics that we perturb by a Glauber dynamics with random site dependent intensity. We prove hydrodynamic limits for this... -
Modeling of the multiscale dispersion of nanoparticles in a hematite coating
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Stochastic homogenization of interfaces moving with changing sign velocity
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