A5: Pattern formation in coupled parabolic systems
Prof. Dr. Alexander Mielke 
This project studies pattern formation in reaction-diffusion systems and in models of fluid dynamics,
such as Kolmogorov’s two-equation model for turbulence. In addition to traveling waves, such as fronts
and pulses, we also study self-similar structures that describe the asymptotic decay of localized profiles
on unbounded domains. On the methodological side we use homogenization techniques for periodically
structured materials and evolutionary Gamma-convergence for perturbed gradient flows, which will be
combined with self-similar scaling techniques.