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Stability results for the nonlocal Mullins-Sekerka flow

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Stability results for the nonlocal Mullins-Sekerka flow
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39
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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The nonlocal Mullins-Sekerka flow can be seen as the $H^{-\frac12}$-gradient flow of the so called sharp-interface Ohta-Kawaski energy. In this talk we will show that three-dimensional periodic configurations that are strictly stable with respect to this energy are exponentially stable also for the nonlocal Mullins-Sekerka flow.
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