A generalized thin-film equation in multidimensional space
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Publication:943675
DOI10.1016/j.na.2007.06.028zbMath1157.35395OpenAlexW2041880402MaRDI QIDQ943675
Mohammed Boutat, Saïd Hilout, Jean Michel Rakotoson, J. Emile Rakotoson
Publication date: 10 September 2008
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.2007.06.028
Nonlinear parabolic equations (35K55) Initial-boundary value problems for higher-order parabolic equations (35K35) Thin fluid films (76A20) Degenerate parabolic equations (35K65)
Related Items (11)
Mass-conservative and positivity preserving second-order semi-implicit methods for high-order parabolic equations ⋮ A viscous thin-film equation with a singular diffusion ⋮ Liouville property for solutions of the linearized degenerate thin film equation of fourth order in a halfspace ⋮ Continuous maximal regularity on singular manifolds and its applications ⋮ A thin film equation with a singular diffusion ⋮ Finite speed of propagation and algebraic time decay of solutions to a generalized thin film equation ⋮ Localization, smoothness, and convergence to equilibrium for a thin film equation ⋮ Towards optimal regularity for the fourth-order thin film equation in \(\mathbb R^N\): Graveleau-type focusing self-similarity ⋮ The generalized thin film equation with periodic-domain conditions ⋮ Classical solvability of the multidimensional free boundary problem for the thin film equation with quadratic mobility in the case of partial wetting ⋮ STUDY OF SOLUTIONS TO A FOURTH ORDER PARABOLIC EQUATION∗
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