| 黄旭凤,蒲志林.具有动态边界条件的Cahn-Hilliard-Navier-Stokes系统解的渐近行为*[J].数学年刊A辑,2023,44(1):1~16 |
| 具有动态边界条件的Cahn-Hilliard-Navier-Stokes系统解的渐近行为* |
| Asymptotic Behavior of Solutions for the CahnHilliard-Navier-Stokes System with Dynamic Boundary Conditions |
| Received:June 25, 2022 Revised:November 23, 2022 |
| DOI：10.16205/j.cnki.cama.2023.0001 |
| 中文关键词: Cahn-Hilliard-Navier-Stokes系统, 动态边界条件, 弱解, 全局吸引子 |
| 英文关键词:Cahn-Hilliard-Navier-Stokes system, Dynamic boundary conditions, Weak solution, Global attractor |
| 基金项目:四川省科技厅科学研究项目(No.22CXTD0029) |
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| 中文摘要: |
| Cahn-Hilliard-Navier-Stokes系统是描述两种互不相溶且不可压缩流体演化的著名界面系统.本文主要研究一般非线性条件下具有动态边界的Cahn-Hilliard-Navier-Stokes系统解的适定性及长时间行为,证明了弱解的整体存在性和唯一性, 建立了在H X VI中全局吸引子的存在性. |
| 英文摘要: |
| Cahn-Hilliard-Navier-Stokes system is a well-known interface system that describes the evolution of two immiscible incompressible fluids. The authors’ aim in this paper is to study the well-posedness and longtime behavior of solutions for the Cahn-HilliardNavier-Stokes system with dynamic boundary conditions, the global existence, uniqueness of weak solutions for this system are proved and the existence of a global attractor in H X VI is also established. |
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