Weak solutions for a sixth-order thin film equation

DOI10.1216/RMJ-2011-41-5-1547zbMath1227.35150MaRDI QIDQ640274

Yumei Tian, Chein-Shan Liu

Publication date: 18 October 2011

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessmethod of continuityregularizing technique

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for higher-order parabolic equations (35K35) Thin fluid films (76A20) Thin films (74K35) Degenerate parabolic equations (35K65)

Related Items (3)

Optimal control for a sixth order nonlinear parabolic equation ⋮ Classical solvability of the multidimensional free boundary problem for the thin film equation with quadratic mobility in the case of partial wetting ⋮ Some properties of solutions for the sixth-order Cahn-Hilliard-type equation

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• Unstable sixth-order thin film equation: I. Blow-up similarity solutions
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