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math.AP2018
Fractional Diffusion limit of a kinetic equation with Diffusive boundary conditions in the upper-half space
Ludovic Cesbron, Antoine Mellet, Marjolaine Puel
We investigate the fractional diffusion approximation of a kinetic equation in the upper-half plane with diffusive reflection conditions at the boundary. In an appropriate singular…
math.AP2018
Homogenization of time-harmonic Maxwell's equations in nonhomogeneous plasmonic structures
Matthias Maier, Dionisios Margetis, Antoine Mellet
We carry out the homogenization of time-harmonic Maxwell's equations in a periodic, layered structure made of two-dimensional (2D) metallic sheets immersed in a heterogeneous and i…