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Periodic Travelling Waves in Dimer Granular Chains
Periodic Travelling Waves Dimer Granular Chains Pattern Formation and Solitons
2012/4/26
We study bifurcations of periodic travelling waves in granular dimer chains from the anti-continuum limit, when the mass ratio between the light and heavy beads is zero. We show that every limiting pe...
One-sided FKPP travelling waves in the context of homogenous fragmentation processes
FKPP equation travelling wave homogenous fragmentation process killed fragmentation product martingale spectrally negative Levy process
2012/4/23
In this paper we introduce the one-sided FKPP equation in the context of homogenous fragmentation processes. More specifically, the main result of the present paper is concerned with the existence and...
Global-in-time existence of perturbations around travelling-waves
nonlinear and nonlocal conservation law fractional anti-diffusive operator Duhamel formulation travelling-wave global-in-time existence
2011/8/22
Abstract: We investigate a fractional diffusion/anti-diffusion equation proposed by Andrew C. Fowler to describe the dynamics of sand dunes sheared by a fluid flow. In this paper, we prove the global-...