6533b83afe1ef96bd12a7a81
RESEARCH PRODUCT
The asymptotics of the area-preserving mean curvature and the Mullins–Sekerka flow in two dimensions
Vesa JulinMassimiliano MoriniMarcello PonsiglioneEmanuele Spadarosubject
Mathematics - Differential GeometryPhysics::Fluid DynamicsmallintaminenDifferential Geometry (math.DG)matematiikkaGeneral MathematicsFOS: Mathematicsdescription
AbstractWe provide the first general result for the asymptotics of the area preserving mean curvature flow in two dimensions showing that flat flow solutions, starting from any bounded set of finite perimeter, converge with exponential rate to a finite union of equally sized disjoint disks. A similar result is established also for the periodic two-phase Mullins–Sekerka flow.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2022-11-15 |