Publications [#244201] of Thomas P. Witelski

Papers Published

1. Witelski, TP, Similarity solutions of the lubrication equation, Applied Mathematics Letters, vol. 10 no. 5 (September, 1997), pp. 107-113, Elsevier BV
   (last updated on 2024/04/25)

   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.