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Maximal-in-Time Existence and Uniqueness of Strong Solution of a 3D Fluid-Structure Interaction Model
SIAM Journal on Mathematical Analysis ( IF 2 ) Pub Date : 2020-12-18 , DOI: 10.1137/18m1178451 Debayan Maity , Jean-Pierre Raymond , Arnab Roy
SIAM Journal on Mathematical Analysis ( IF 2 ) Pub Date : 2020-12-18 , DOI: 10.1137/18m1178451 Debayan Maity , Jean-Pierre Raymond , Arnab Roy
SIAM Journal on Mathematical Analysis, Volume 52, Issue 6, Page 6338-6378, January 2020.
In this work, we study a system coupling the incompressible Navier--Stokes equations in a cylindrical type domain with an elastic structure, governed by a damped shell equation, located at the lateral boundary of the domain occupied by the fluid. We prove the existence of a unique maximal strong solution.
中文翻译:
3D流固耦合模型强解的最大时间存在性和唯一性
SIAM数学分析期刊,第52卷,第6期,第6338-6378页,2020
年1月。在这项工作中,我们研究了将圆柱型域中不可压缩的Navier-Stokes方程与弹性结构耦合的系统,该系统由阻尼控制。壳方程,位于流体占据的区域的横向边界处。我们证明了存在唯一的最大强解。
更新日期:2020-12-20
In this work, we study a system coupling the incompressible Navier--Stokes equations in a cylindrical type domain with an elastic structure, governed by a damped shell equation, located at the lateral boundary of the domain occupied by the fluid. We prove the existence of a unique maximal strong solution.
中文翻译:
3D流固耦合模型强解的最大时间存在性和唯一性
SIAM数学分析期刊,第52卷,第6期,第6338-6378页,2020
年1月。在这项工作中,我们研究了将圆柱型域中不可压缩的Navier-Stokes方程与弹性结构耦合的系统,该系统由阻尼控制。壳方程,位于流体占据的区域的横向边界处。我们证明了存在唯一的最大强解。