On self-similar solutions to the surface diffusion flow equations with contact angle boundary conditions

DOI10.4171/IFB/329zbMath1332.35061OpenAlexW2014508255MaRDI QIDQ2255310

Tomoro Asai, Yoshikazu Giga

Publication date: 9 February 2015

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/ifb/329

zbMATH Keywords

stabilitymild solutionanalytic semigrouphomogeneous initial data

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Dynamics of phase boundaries in solids (74N20) Self-similar solutions to PDEs (35C06) Quasilinear parabolic equations (35K59) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (3)

Grain boundary migration with thermal grooving effects: a numerical approach ⋮ Stability of self-similar solutions to geometric flows ⋮ Existence of non-convex traveling waves for surface diffusion of curves with constant contact angles

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