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