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

DOI10.4310/jdg/1567216953OpenAlexW2970313242WikidataQ115165210 ScholiaQ115165210MaRDI QIDQ2323909

Vesa Julin, Massimiliano Morini, Nicola Fusco, Emilio Acerbi

Publication date: 13 September 2019

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.04583

zbMATH Keywords

asymptotic stabilitylarge-time behaviorgradient flowsglobal-in-time existenceHele-Shaw flowMullins-Sekerka flowOhta-Kawaski energystable periodic structures

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Quasilinear parabolic equations with mean curvature operator (35K93) Flows related to mean curvature (53E10)

Related Items (7)

Global existence and stability for the modified Mullins-Sekerka and surface diffusion flow ⋮ The asymptotics of the area-preserving mean curvature and the Mullins-Sekerka flow in two dimensions ⋮ The surface diffusion flow with elasticity in three dimensions ⋮ On a quaternary nonlocal isoperimetric problem ⋮ Functional inequalities and strong Lyapunov functionals for free surface flows in fluid dynamics ⋮ Volume preserving mean curvature flows near strictly stable sets in flat torus ⋮ Periodic minimizers of a ternary non-local isoperimetric problem

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