Asymptotic behaviour of the thin film equation in bounded domains
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Publication:2730754
DOI10.1017/S0956792501004417zbMath0971.76013MaRDI QIDQ2730754
Publication date: 1 November 2001
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
similarity solutionszero contact angleflow of viscous fluid over edgesfourth-order degenerate diffusion equationlong time extinction behaviour
Thin fluid films (76A20) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Degenerate parabolic equations (35K65)
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Asymptotic analysis of a doubly nonlinear diffusion equation ⋮ Blow-up and extinction for a thin-film equation with initial-boundary value conditions ⋮ Global existence, finite time blow-up, and vacuum isolating phenomenon for a class of thin-film equation ⋮ Global existence and finite time blow-up of the solution for a thin-film equation with high initial energy ⋮ Numerical investigation of the generalized lubrication equation ⋮ Existence and nonexistence of solutions of thin-film equations with variable exponent spaces ⋮ Nonlinear higher-order boundary value problems describing thin viscous flows near edges ⋮ Steady and quasi-steady thin viscous flows near the edge of a solid surface ⋮ Pressure-dipole solutions of the thin-film equation
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