8 citations · 14 across the 6 of their papers we have counts for
4 papers · 2 filters
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}^…