45 citations · 162 across the 29 of their papers we have counts for
31 papers
Traveling modulating pulse solutions with small tails for a nonlinear wave equation in periodic media
Tomas Dohnal, Dmitry E. Pelinovsky, Guido Schneider
Traveling modulating pulse solutions consist of a small amplitude pulse-like envelope moving with a constant speed and modulating a harmonic carrier wave. Such solutions can be app…
Diffusive stability and self-similar decay for the harmonic map heat flow
Tobias Lamm, Guido Schneider
In this paper we study the harmonic map heat flow on the euclidean space and we show an unconditional uniqueness result for maps with small initial data in the homog…
Pattern formation in 2d stochastic anisotropic Swift-Hohenberg equation
Reika Fukuizumi, Yueyuan Gao, Guido Schneider +1
In this paper, we study a phenomenological model for pattern formation in electroconvection, and the effect of noise on the pattern. As such model we consider an anisotropic Swift-…
Breather solutions for a semilinear Klein-Gordon equation on a periodic metric graph
Daniela Maier, Wolfgang Reichel, Guido Schneider
We consider the nonlinear Klein-Gordon equation on a periodic metric graph (necklace graph) for with K…
KP-II approximation for a scalar FPU system on a 2D square lattice
Dmitry E. Pelinovsky, Guido Schneider
We consider a scalar Fermi-Pasta-Ulam (FPU) system on a square 2D lattice. The Kadomtsev-Petviashvili (KP-II) equation can be derived by means of multiple scale expansions to descr…
Nonlinear stability of periodic roll solutions in the real Ginzburg-Landau equation against -perturbations
Bastian Hilder, Björn de Rijk, Guido Schneider
The real Ginzburg-Landau equation arises as a universal amplitude equation for the description of pattern-forming systems exhibiting a Turing bifurcation. It possesses spatially pe…