An improved gradient bound for 2D MBE

DOI10.1016/j.jde.2020.08.045zbMath1452.35050OpenAlexW3087091253MaRDI QIDQ2003955

Fan Wang, Dong Li, Kai Yang

Publication date: 13 October 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2020.08.045

zbMATH Keywords

epitaxygradient boundmolecular beam epitaxy equation with biharmonic dissipation

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Thin fluid films (76A20) A priori estimates in context of PDEs (35B45) Semilinear parabolic equations (35K58)

Related Items (2)

Energy stable and convergent BDF3-5 schemes for the molecular beam epitaxial model with slope selection ⋮ The BDF3/EP3 scheme for MBE with no slope selection is stable

Cites Work

• On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations
• Gradient bounds for a thin film epitaxy equation
• On the stabilization size of semi-implicit Fourier-spectral methods for 3D Cahn-Hilliard equations
• Characterizing the Stabilization Size for Semi-Implicit Fourier-Spectral Method to Phase Field Equations
• Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models

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