A new approach to the continuum modeling of epitaxial growth: slope selection, coarsening, and the role of the uphill current

DOI10.1016/S0167-2789(01)00371-2zbMath1041.82014OpenAlexW1980755116MaRDI QIDQ5952619

Tak Shing Lo, Robert V. Kohn

Publication date: 15 January 2002

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(01)00371-2

zbMATH Keywords

Hamilton-Jacobi equationnonlinear diffusion equationepitaxial growthcomplex multiscale far from equilibrium processcontinuum growth modelEhrlich-Schwoebel barrierslope selection

Mathematics Subject Classification ID

Related Items (6)

Lifespan of solutions to a fourth order parabolic PDE involving the Hessian modeling epitaxial growth ⋮ Space-time estimates of mild solutions of a class of higher-order semilinear parabolic equations in \(L^{p}\) ⋮ Well-posedness of a two-scale model for liquid phase epitaxy with elasticity ⋮ Global existence versus blow-up results for a fourth order parabolic PDE involving the Hessian ⋮ Anisotropic Burgers equation with an anisotropic perturbation ⋮ A microscopic time scale approximation to the behavior of the local slope on the faceted surface under a nonuniformity in supersaturation

Cites Work

• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Singular perturbation and the energy of folds
• Spiral crystal growth
• A geometric model for coarsening during spiral-mode growth of thin films
• A continuum model of kinetic roughening and coarsening in thin films
• Spreading and shortest paths in systems with sparse long-range connections
• The growth of crystals and the equilibrium structure of their surfaces
• Continuum theory of epitaxial crystal growth. I.
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A new approach to the continuum modeling of epitaxial growth: slope selection, coarsening, and the role of the uphill current