96 citations · 244 across the 21 of their papers we have counts for
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Diffusive stability against nonlocalized perturbations of planar wave trains in reaction-diffusion systems
Björn de Rijk, Björn Sandstede
Planar wave trains are traveling wave solutions whose wave profiles are periodic in one spatial direction and constant in the transverse direction. In this paper, we investigate th…
Nonlinear stability of source defects in oscillatory media
Margaret Beck, Toan T. Nguyen, Björn Sandstede +1
In this paper, we prove the nonlinear stability under localized perturbations of spectrally stable time-periodic source defects of reaction-diffusion systems. Consisting of a core…
Mixing in Reaction-Diffusion Systems: Large Phase Offsets
Sameer Iyer, Bjorn Sandstede
We consider Reaction-Diffusion systems on , and prove diffusive mixing of asymptotic states , where is a periodic wave. Our analysis is the…
Nonlinear stability of source defects in the complex Ginzburg-Landau equation
Margaret Beck, Toan T. Nguyen, Bjorn Sandstede +1
In an appropriate moving coordinate frame, source defects are time-periodic solutions to reaction-diffusion equations that are spatially asymptotic to spatially periodic wave train…
Diffusive mixing of periodic wave trains in reaction-diffusion systems
Björn Sandstede, Arnd Scheel, Guido Schneider +1
We consider reaction-diffusion systems on the infinite line that exhibit a family of spectrally stable spatially periodic wave trains $u_0(kx-\om t;k)$ that are parameterized by th…