arXiv:2312.17520 [math.AP]AbstractReferencesReviewsResources
Navier-Stokes/Cahn-Hilliard equations with generalized Navier boundary condition and relaxation boundary condition
Shijin Ding, Yinghua Li, Yuanxiang Yan
Published 2023-12-29Version 1
In this paper, we consider the incompressible Navier-Stokes/Cahn-Hilliard system with generalized Navier boundary condition and relaxation boundary condition, which can be used to model the moving contact line problem in fluid mechanics. We establish the existence and uniqueness of local-in-time strong solution to this initial boundary value problem in 2D.
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