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Sonderforschungsbereich 910A8

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A8: Nonlinear evolution equations: model hierarchies and complex fluids

Principal investigator:

Prof. Dr. Etienne Emmrich

Project summary:

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.



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