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On solutions to the eikonal equation with finite entropy production

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DNM - The mathematical design of new materials

Solutions with finite entropy productions arise in the sharp interface
limit of a gradient phase field model that was proposed by Aviles and
Giga as a simplified model for smectic liquid crystals, and is also
related to thin film elasticity, micromagnetics and pattern formation
models. I will present recent results on their regularity, based on
joint work with Francesco Ghiraldin.

This talk is part of the Isaac Newton Institute Seminar Series series.

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