Dipoles and similarity solutions of the thin film equation in the half-line
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Publication:4946693
DOI10.1088/0951-7715/13/2/305zbMath0942.35094OpenAlexW1978198939MaRDI QIDQ4946693
Josephus Hulshof, John R. King, Francisco Bernis
Publication date: 26 July 2000
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.34.4780
Nonlinear parabolic equations (35K55) Thin fluid films (76A20) Lubrication theory (76D08) Dimensional analysis and similarity applied to problems in fluid mechanics (76M55) Degenerate parabolic equations (35K65) Other free boundary flows; Hele-Shaw flows (76D27)
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Nonlinear dynamics of dewetting thin films ⋮ Numerical investigation of the generalized lubrication equation ⋮ Invariant subspaces and exact solutions: \((1+1)\) and \((2+1)\)-dimensional generalized time-fractional thin-film equations ⋮ Self-Similar Lifting and Persistent Touch-Down Points in the Thin-Film Equation ⋮ Asymmetric travelling waves for the thin film equation ⋮ Group properties and invariant solutions of a sixth-order thin film equation in viscous fluid ⋮ Steady and quasi-steady thin viscous flows near the edge of a solid surface ⋮ Nonperturbative semi-analytical source-type solutions of thin-film equation ⋮ Pressure-dipole solutions of the thin-film equation ⋮ Very Singular Solutions for Thin Film Equations with Absorption ⋮ Regularity of source-type solutions to the thin-film equation with zero contact angle and mobility exponent between 3/2 and 3 ⋮ Nonlinear fractional diffusion equation: Exact results ⋮ Two generalizations of the thin film equation
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