25 citations · 122 across the 23 of their papers we have counts for
4 papers · 2 filters
Ground States of a Nonlinear Curl-Curl Problem in Cylindrically Symmetric Media
Thomas Bartsch, Tomáš Dohnal, Michael Plum +1
We consider the nonlinear curl-curl problem in related to the nonlinear Maxwell equations for monochromatic fie…
pde2path - version 2.0: faster FEM, multi-parameter continuation, nonlinear boundary conditions, and periodic domains - a short manual
Tomas Dohnal, Jens D. M. Rademacher, Hannes Uecker +1
pdepath 2.0 is an upgrade of the continuation/bifurcation package pde2path for elliptic systems of PDEs over bounded 2D domains, based on the Matlab pdetoolbox. The new features in…
Bifurcation of Nonlinear Bloch Waves from the Spectrum in the Gross-Pitaevskii Equation
Tomáš Dohnal, Hannes Uecker
We rigorously analyze the bifurcation of stationary so called nonlinear Bloch waves (NLBs) from the spectrum in the Gross-Pitaevskii (GP) equation with a periodic potential, in arb…
Dispersive homogenized models and coefficient formulas for waves in general periodic media
Tomas Dohnal, Agnes Lamacz, Ben Schweizer
We analyze a homogenization limit for the linear wave equation of second order. The spatial operator is assumed to be of divergence form with an oscillatory coefficient matrix $a^\…