Elias Esselborn

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This note is about the prediction of the domain and wall configuration formed by the magnetization m in a soft ferromagnetic film under an external field. We propose a modification of the reduced model introduced by DeSimone et al. (2001), that is a variational model for a 2-d in-plane magnetization m on the cross section ω. The modification consists of two(More)
This thesis mainly deals with two models from fluid mechanics which can be formulated as Wasserstein gradient flows: the Burgers’ and the thin-film equation. We are proving results about the long-time behavior of solutions to those equations using the gradient flow structure. These kind of results are usually obtained as a consequence of the semi-convexity(More)
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