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arxiv: 1510.01521 · v1 · pith:X73IG3V3new · submitted 2015-10-06 · 🧮 math.AP

Asymptotic stability of local Helfrich minimizers

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keywords localminimizersalreadyasymptoticasymptoticallycanham-helfrichdynamicsenergy
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We show that local minimizers of the Canham-Helfrich energy are asymptotically stable with respect to a model for relaxational fluid vesicle dynamics that we already studied in previous papers ([12, 11]). The proof is based on a Lojasiewicz-Simon inequality.

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