2020/06/09 by Hangjie Ji, Ji, Hangjie, Roman M. Taranets +3 · 1 citation
Chemical Engineering · Engineering · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Thin Films #Fluid Dynamics and Turbulent Flows #Rheology and Fluid Dynamics Studies
paper · pdf · doi:10.48550/arxiv.2006.04994
openalex publication_date 2020/06/09 · openalex created_date 2020/06/19 · openalex updated_date 2026/07/28
Existence of non-negative weak solutions is shown for a full curvature thin-film model of a liquid thin film flowing down a vertical fibre. The proof is based on the application of a priori estimates derived for energy-entropy functionals. Long-time behaviour of these weak solutions is analysed and, under some additional constraints for the model parameters and initial values, convergence towards a travelling wave solution is obtained. Numerical studies of energy minimizers and travelling waves are presented to illustrate analytical results.