Nonlinear evolution equations: model hierarchies and complex fluids (A08)

• Subject Area: Mathematics
• Term: from 2012 to 2022
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 163436311

Nonlinear evolution equations are the mathematical models for time-dependent processes in science and engineering. We focus on models enriched by, e.g., nonlocality in time or space as well as on non-standard assumptions as, e.g., non-monotone growth. We study existence of generalized solutions via convergence of suitable approximation schemes. Applications arise in soft matter and dynamics of complex fluids. We aim to study models for smectic phases as well as nonlocal models of liquid crystals and to apply the new concept of relative energy.

• 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. Etienne Emmrich