103 citations · 180 across the 18 of their papers we have counts for
7 papers · 1 filter
Algebraic rates of stability for front-type modulated waves in Ginzburg Landau equations
Wolf-Jürgen Beyn, Christian Döding
We consider the stability of front-type modulated waves in the complex Ginzburg-Landau equation (CGL). The waves occur in the bistable regime (e.g. of the quintic CGL) and connect…
Stability of Traveling Oscillating Fronts in Complex Ginzburg Landau Equations
Wolf-Jürgen Beyn, Christian Döding
Traveling oscillating fronts (TOFs) are specific waves of the form with a profile which decays at but approaches…
Semilinear Parabolic Differential Inclusions with One-sided Lipschitz Nonlinearities
Wolf-Jürgen Beyn, Etienne Emmrich, Janosch Rieger
We present an existence result for a partial differential inclusion with linear parabolic principal part and relaxed one-sided Lipschitz multivalued nonlinearity in the framework o…
Fredholm Properties and -Spectra of Localized Rotating Waves in Parabolic Systems
Wolf-Jürgen Beyn, Denny Otten
In this paper we study spectra and Fredholm properties of Ornstein-Uhlenbeck operators $$\mathcal{L}v(x)=A\triangle v(x)+\langle Sx,\nabla v(x)\rangle+Df(v_{\star}(x))v(x),\,x\in\m…
Freezing Traveling and Rotating Waves in Second Order Evolution Equations
Wolf-Jürgen Beyn, Denny Otten, Jens Rottmann-Matthes
In this paper we investigate the implementation of the so-called freezing method for second order wave equations in one and several space dimensions. The method converts the given…
Computation and Stability of Traveling Waves in Second Order Evolution Equations
Wolf-Jürgen Beyn, Denny Otten, Jens Rottmann-Matthes
The topic of this paper are nonlinear traveling waves occuring in a system of damped waves equations in one space variable. We extend the freezing method from first to second order…
Spatial Decay of Rotating Waves in Reaction Diffusion Systems
Wolf-Jürgen Beyn, Denny Otten
In this paper we study nonlinear problems for Ornstein-Uhlenbeck operators \begin{align*} A\triangle v(x) + \left\langle Sx,\nabla v(x)\right\rangle + f(v(x)) = 0,\,x\in\mathbb{R}^…