Existence of weak solutions for particle-laden flow with surface tension
Journal Article
© 2018 American Institute of Mathematical Sciences. All rights reserved. We prove the existence of solutions for a coupled system modeling the flow of a suspension of fluid and negatively buoyant non-colloidal particles in the thin film limit. The equations take the form of a fourth-order nonlinear degenerate parabolic equation for the film height h coupled to a second-order degenerate parabolic equation for the particle density ψ. We prove the existence of physically relevant solutions, which satisfy the uniform bounds 0≤6 ψ/h≤1 and h > 0.
Full Text
Duke Authors
Cited Authors
- Taranets, RM; Wong, JT
Published Date
- October 1, 2018
Published In
Volume / Issue
- 38 / 10
Start / End Page
- 4979 - 4996
Electronic International Standard Serial Number (EISSN)
- 1553-5231
International Standard Serial Number (ISSN)
- 1078-0947
Digital Object Identifier (DOI)
- 10.3934/dcds.2018217
Citation Source
- Scopus