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Homogenization of a nonlinear transport equation
Boltzmann Equation Semiconductor Homogenization
2015/10/15
In this paper, we investigate the homogenization of a nonlinearkinetic equation modeling electron transport in semiconductors. We compute effective scattering coefficients for medium with periodic inh...
Homogenization of one-phase Stefan-type problems in periodic and random media
one-phase Stefan-type periodic random
2015/10/15
We investigate the homogenization of Stefan-type problems with oscillating diffusion coefficients. Both cases of periodic and random (stationary ergodic) medium are considered. The proof relies on the...
Homogenization of the Vlasov Equation and of the Vlasov - Poisson System with a Strong External Magnetic Field
the Vlasov Equation the Vlasov - Poisson System
2010/11/23
Motivated by the difficulty arising in the numerical simulation of the movement of charged particles in presence of a large external magnetic field, which adds an additional time scale and thus impos...
On the commutability of homogenization and linearization in finite elasticity
linearization finite elasticity
2010/11/22
We study non-convex elastic energy functionals associated to (spatially) periodic, frame indifferent energy densities with a single non-degenerate energy well at SO(d). Under the assumption that the e...
Localized bases for finite dimensional homogenization approximations with non-separated scales and high-contrast
finite dimensional homogenization non-separated scales and high-contrast
2010/11/9
We construct finite-dimensional approximations of solution spaces of divergence form operators with $L^\infty$-coefficients. Our method does not rely on concepts of ergodicity or scale-separation, but...
Homogenization of the G-equation with incompressible random drift in two dimensions
the G-equation incompressible dimensions
2010/11/8
We study the homogenization limit of solutions to the G-equation with random drift. This Hamilton-Jacobi equation is a model for flame propagation in a turbulent fluid in the regime of thin flames. F...