45 citations · 162 across the 29 of their papers we have counts for
4 papers · 1 filter
On the dynamics of the mean-field polaron in the weak-coupling limit
Marcel Griesemer, Jochen Schmid, Guido Schneider
We consider the dynamics of the mean-field polaron in the weak-coupling limit of vanishing electron-phonon interaction, . This is a singular limit formally leadi…
The KdV, the Burgers, and the Whitham limit for a spatially periodic Boussinesq model
Roman Bauer, Wolf-Patrick Düll, Guido Schneider
We are interested in the Korteweg-de Vries (KdV), the Burgers, and the Whitham limit for a spatially periodic Boussinesq model with non-small contrast. We prove estimates between t…
The validity of Whitham's approximation for a Klein-Gordon-Boussinesq model
Wolf-Patrick Düll, Kourosh Sanei Kashani, Guido Schneider
In this paper we prove the validity of a long wave Whitham approximation for a system consisting of a Boussinesq equation coupled with a Klein-Gordon equation. The proof is based o…
Bifurcations of standing localized waves on periodic graphs
Dmitry E. Pelinovsky, Guido Schneider
The nonlinear Schrodinger (NLS) equation is considered on a periodic metric graph subject to the Kirchhoff boundary conditions. Bifurcations of standing localized waves for frequen…