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.
Nonlinear stability results for the modified Mullins-Sekerka and the surface diffusion flow / Acerbi, Emilio; Fusco, Nicola; Julin, VESA VEIKKO; Morini, Massimiliano. - In: JOURNAL OF DIFFERENTIAL GEOMETRY. - ISSN 0022-040X. - 113:1(2019), pp. 1-53. [10.4310/jdg/1567216953]
Nonlinear stability results for the modified Mullins-Sekerka and the surface diffusion flow
Emilio Acerbi;Nicola Fusco
;JULIN, VESA VEIKKO;Massimiliano Morini
2019
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
