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<p>In this paper, we consider incompressible Navier-Stokes/Cahn-Hilliard system with the generalized Navier boundary condition and the dynamic boundary condition in a channel, which can describe the interaction between a binary material and the walls of the physical domain. We prove the global-in-time existence and uniqueness of strong solutions to this initial boundary value problem in a 2D channel domain.</p>

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Global strong solutions to Navier-Stokes/Cahn-Hilliard equations with generalized Navier boundary condition and dynamic boundary condition

  • 期刊论文

  • 发表日期：

    2025年10月29日

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  • Shijin Ding,
  • Yinghua Li,
  • Yuanxiang Yan

摘要

In this paper, we consider incompressible Navier-Stokes/Cahn-Hilliard system with the generalized Navier boundary condition and the dynamic boundary condition in a channel, which can describe the interaction between a binary material and the walls of the physical domain. We prove the global-in-time existence and uniqueness of strong solutions to this initial boundary value problem in a 2D channel domain.