Global regularity of solutions of equation modeling epitaxy thin film growth in \(\mathbb{R}^d\), \(d = 1,2\)

DOI10.1007/s00028-014-0250-6zbMath1323.35064OpenAlexW2004868360MaRDI QIDQ2351626

Léo Agélas

Publication date: 26 June 2015

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

Full work available at URL: https://doi.org/10.1007/s00028-014-0250-6

zbMATH Keywords

regularityexistenceuniquenessstrong solutionscoarseningthin filmsepitaxysurface growthEhrlich-Schwoebel effect

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Thin fluid films (76A20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for higher-order parabolic equations (35K30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

Related Items (6)

Stochastic PDEs and lack of regularity: a surface growth equation with noise: existence, uniqueness, and blow-up ⋮ Bifurcation Theory for SPDEs: Finite-time Lyapunov Exponents and Amplitude Equations ⋮ A class of fourth-order nonlinear parabolic equations modeling the epitaxial growth of thin films ⋮ Finite time blow-up of complex solutions of the conserved Kuramoto–Sivashinsky equation in ℝ^d and in the torus 𝕋^d, d ⩾ 1 ⋮ Global well-posedness of solutions for the epitaxy thin film growth model ⋮ Global well-posedness and large time behavior of epitaxy thin film growth model

Cites Work

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