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Collaborative Research Center 910:
Control of self-organizing nonlinear systems: Theoretical methods and concepts of application

Subproject A5: Pattern formation in coupled parabolic systems


Project Head: Prof. Dr. Alexander Mielke
Investigator: Stefanie Schindler
Funding period III: January 1, 2019 - Dezember 31, 2022
Previous funding periods: 2011 - 2018, Investigator: Dr. Sina Reichelt


Description


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.



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Last modified: October 20, 2020 CET Stefanie Schindler