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Nonlinear stability results for the modified Mullins-Sekerka and the surface diffusion flow

It is shown that any three-dimensional periodic configuration that is strictly stable for the area functional is exponentially stable for the surface diffusion flow and for the Mullins-Sekerka or Hele-Shaw flow. The same result holds for three-dimensional periodic configurations that are strictly stable with respect to the sharp-interface Ohta-Kawaski energy. In this case, they are exponentially stable for the so-called modified Mullins-Sekerka flow.

preprint2016arXivOpen access
Emilio AcerbiNicola FuscoVesa JulinMassimiliano Morini
math.AP
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Open access4 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Emilio AcerbiNicola FuscoVesa JulinMassimiliano Morini

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