On Well-Posedness, Stability, and Bifurcation for the Axisymmetric Surface Diffusion Flow

DOI10.1137/120883505zbMath1282.35218arXiv1209.3998OpenAlexW3099386575MaRDI QIDQ2870592

Gieri Simonett, Jeremy LeCrone

Publication date: 21 January 2014

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.3998

zbMATH Keywords

nonlinear stabilityperiodic boundary conditionsimplicit function theoremmaximal regularityreal analytic semiflow

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Continuous and differentiable maps in nonlinear functional analysis (46T20) Bifurcations in context of PDEs (35B32) Quasilinear parabolic equations with mean curvature operator (35K93)

Related Items (5)

The surface diffusion and the Willmore flow for uniformly regular hypersurfaces ⋮ On the flow of non-axisymmetric perturbations of cylinders via surface diffusion ⋮ A family of parameter-dependent diffeomorphisms acting on function spaces over a Riemannian manifold and applications to geometric flows ⋮ On quasilinear parabolic equations and continuous maximal regularity ⋮ Stability Analysis of Delaunay Surfaces as Steady States for the Surface Diffusion Equation

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