Pattern formation in coupled parabolic systems (A05)

• Subject Area: Mathematics
• Term: from 2011 to 2022
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 163436311

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.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 910: Control of Self-Organising Non-Linear Systems: Theoretical Methods and Concepts of Application
• Applicant Institution: Technische Universität Berlin
• Project Head: Professor Dr. Alexander Mielke