Standard planar double bubbles are dynamically stable under surface diffusion flow

DOI10.4310/CAG.2021.v29.n5.a1zbMath1480.35006arXiv1505.02979OpenAlexW3216539380MaRDI QIDQ2063726

Helmut Abels, Nasrin Arab, Harald Garcke

Publication date: 3 January 2022

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.02979

zbMATH Keywords

generalized principle of linearized stabilityparabolic Hölder spaces

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Variational methods applied to PDEs (35A15) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Second-order parabolic equations (35K10) PDEs on manifolds (35R01)

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A structure‐preserving finite element approximation of surface diffusion for curve networks and surface clusters ⋮ On convergence of solutions to equilibria for fully nonlinear parabolic systems with nonlinear boundary conditions

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