Existence and long-time behaviour of weak solutions for the Mullins equation

DOI10.1016/J.NA.2012.07.031zbMath1258.35112OpenAlexW1985491545MaRDI QIDQ714482

Marina Chugunova, Roman M. Taranets

Publication date: 11 October 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.07.031

zbMATH Keywords

surface diffusionmotion by mean curvaturefourth-order degenerate parabolic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order parabolic equations (35K35) Degenerate parabolic equations (35K65) Weak solutions to PDEs (35D30) Quasilinear parabolic equations (35K59)

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Cites Work

• Unnamed Item
• Coupled surface and grain boundary motion: a travelling wave solution
• Compact sets in the space \(L^ p(0,T;B)\)
• Coupled surface and grain boundary motion: nonclassical traveling-wave solutions
• Exact solvability of the Mullins nonlinear diffusion model of groove development
• A rapid proof for a flattening property of a classical solution of the Mullins equation

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