The surface diffusion flow on rough phase spaces

DOI10.3934/DCDS.2010.26.431zbMath1188.35093OpenAlexW2316612012MaRDI QIDQ2268678

Piotr Bogusław Mucha, Joachim Escher

Publication date: 8 March 2010

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2010.26.431

zbMATH Keywords

stabilityfree boundary problemBesov spacesglobal existencemaximal regularitycentre manifoldgeometric evolution equationsurface diffusion flow

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Stefan problems, phase changes, etc. (80A22) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Free boundary problems for PDEs (35R35) Weak solutions to PDEs (35D30) Quasilinear elliptic equations with mean curvature operator (35J93)

Related Items (8)

The surface diffusion and the Willmore flow for uniformly regular hypersurfaces ⋮ Convergence for global curve diffusion flows ⋮ On the curve diffusion flow of closed plane curves ⋮ On the flow of non-axisymmetric perturbations of cylinders via surface diffusion ⋮ On the isoperimetric inequality and surface diffusion flow for multiply winding curves ⋮ The rot-div system in exterior domains ⋮ 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

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