Math @ Duke
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Publications [#244201] of Thomas P. Witelski
search www.ams.org.Papers Published
- Witelski, TP, Similarity solutions of the lubrication equation,
Applied Mathematics Letters, vol. 10 no. 5
(September, 1997),
pp. 107-113, Elsevier BV [gz], [doi]
(last updated on 2024/04/17)
Abstract: We present a method for constructing closed-form similarity solutions of the fourth-order nonlinear lubrication equation. By extending a technique used to study second-order degenerate diffusion problems, corresponding interface profiles and diffusion coefficient functions can be derived in exact form. Different classes of spreading and shrinking solutions are obtained using this approach.
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