Lifespan theorem for simple constrained surface diffusion flows

DOI10.1016/J.JMAA.2010.09.043zbMath1207.35077arXiv1201.6574OpenAlexW2012099190MaRDI QIDQ615934

Glen Wheeler

Publication date: 7 January 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.6574

zbMATH Keywords

geometric analysisfourth orderclosed immersed hypersurfacesinitial manifold

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59)

Related Items (10)

The surface diffusion and the Willmore flow for uniformly regular hypersurfaces ⋮ Lifespan theorem and gap lemma for the globally constrained Willmore flow ⋮ Willmore flow of complete surfaces ⋮ On the flow of non-axisymmetric perturbations of cylinders via surface diffusion ⋮ The volume-preserving Willmore flow ⋮ Non-linear stability of double bubbles under surface diffusion ⋮ A family of parameter-dependent diffeomorphisms acting on function spaces over a Riemannian manifold and applications to geometric flows ⋮ On a curvature flow model for embryonic epidermal wound healing ⋮ On quasilinear parabolic equations and continuous maximal regularity ⋮ The shrinking figure eight and other solitons for the curve diffusion flow

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