Math @ Duke

Publications [#340247] of Jeffrey T Wong
Papers Published
 Taranets, RM; Wong, JT, Existence of weak solutions for particleladen flow with surface tension,
Discrete and Continuous Dynamical Systems Series A, vol. 38 no. 10
(October, 2018),
pp. 49794996, American Institute of Mathematical Sciences (AIMS) [doi]
(last updated on 2019/10/20)
Abstract: © 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 noncolloidal particles in the thin film limit. The equations take the form of a fourthorder nonlinear degenerate parabolic equation for the film height h coupled to a secondorder 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.


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