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arXiv · 2010.14112

The elastic flow with obstacles: small obstacle results

Marius Müller
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Abstract

We consider a parabolic obstacle problem for Euler's elastic energy of graphs with fixed ends. We show global existence, well-posedness and subconvergence provided that the obstacle and the initial datum are suitably 'small'. For symmetric cone obstacles we can improve the subconvergence to convergence. Qualitative aspects such as energy dissipation, coincidence with the obstacle and time regularity are also examined.

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Marius Müller. 2020-10-27. The elastic flow with obstacles: small obstacle results. https://arxiv.org/abs/2010.14112

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