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4 papers · 2 filters
Asymptotic analysis of stratified elastic media in the space of functions with bounded deformation
Michel Bellieud, Shane Cooper
We consider a heterogeneous elastic structure which is stratified in some direction. We derive the limit problem under the assumption that the Lamé coefficients and their inverses…
Multi-layer asymptotic solution for wetting fronts in porous media with exponential moisture diffusivity
Christopher J. Budd, John M. Stockie
We study the asymptotic behaviour of sharp front solutions arising from the nonlinear diffusion equation θ_t = (D(θ)θ_x)_x, where the diffusivity is an exponential function D(θ) =…
Bending of thin periodic plates
Mikhail Cherdantsev, Kirill Cherednichenko
We show that nonlinearly elastic plates of thickness with an -periodic structure such that exhibit non-standard behaviour in the asym…
Interaction energy of domain walls in a nonlocal Ginzburg-Landau type model from micromagnetics
Radu Ignat, Roger Moser
We study a variational model from micromagnetics involving a nonlocal Ginzburg-Landau type energy for S^1-valued vector fields. These vector fields form domain walls, called Neel w…