{
  "id": "2312.17520",
  "version": "v1",
  "published": "2023-12-29T08:58:49.000Z",
  "updated": "2023-12-29T08:58:49.000Z",
  "title": "Navier-Stokes/Cahn-Hilliard equations with generalized Navier boundary condition and relaxation boundary condition",
  "authors": [
    "Shijin Ding",
    "Yinghua Li",
    "Yuanxiang Yan"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-29T08:58:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalized navier boundary condition",
      "relaxation boundary condition",
      "navier-stokes/cahn-hilliard equations",
      "initial boundary value problem",
      "moving contact line problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}