Asymmetric travelling waves for the thin film equation

作者：King John R; Taranets Roman M^*

来源：Journal of Mathematical Analysis and Applications, 2013, 404(2): 399-419.

DOI：10.1016/j.jmaa.2013.03.047

• Thin films
• Asymmetric travelling waves
• Lower and upper bounds

We study the existence, uniqueness and asymptotic behaviour of travelling wave solutions to the thin film equation with non-zero contact angle at one interface. We obtain explicit lower and upper bounds for these solutions. Moreover, we analyse in an appendix the stability of a related class of stationary travelling wave solutions.

• 出版日期2013-8-15