Weak Solution of a Continuum Model For Vicinal Surface in The Attachment-Detachment-Limited Regime

DOI10.1137/16M1094543zbMath1377.35145arXiv1609.05853OpenAlexW2963959747MaRDI QIDQ5737802

Jian-Guo Liu, Yuan Gao, Jian-feng Lu

Publication date: 30 May 2017

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

Full work available at URL: https://arxiv.org/abs/1609.05853

zbMATH Keywords

long-time behaviorglobal existenceepitaxial growththin filmfourth-order degenerate parabolic equationBCF step dynamics

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Structured surfaces and interfaces, coexistent phases (74A50) Degenerate parabolic equations (35K65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with mechanics of deformable solids (35Q74) Higher-order parabolic equations (35K25)

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