Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8256299 | Physica D: Nonlinear Phenomena | 2018 | 8 Pages |
Abstract
In this paper we analyse a singular second-order nonlinear ODE which models the capillary rise of a fluid inside a tubular column. We prove global existence, uniqueness and find several approximations along with the asymptotic behaviour of the solution. Moreover, we are able to find a critical value of the nondimensional parameter for which the solution exhibits a transition in its behaviour: from being monotone to oscillatory. This is an analytical rigorous proof of the experimentally and numerically confirmed phenomenon.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Åukasz PÅociniczak, Mateusz ÅwitaÅa,