论文标题
关于可压缩粘性流体和非线性热弹性板之间的相互作用问题
On the interaction problem between a compressible viscous fluid and a nonlinear thermoelastic plate
论文作者
论文摘要
在本文中，我们研究了非线性热弹性板和具有绝热常数$γ> 12/7 $的可压缩粘性液之间的相互作用问题。通过构建时间连续的操作员分裂方案来获得该问题的弱解决方案的存在，该方案将流体和结构解开。流体亚问题在任意拉格朗日 - 欧拉（ALE）公式中的固定参考域上给出，并且连续性方程也受到该域上的阻尼。这允许大多数分析在固定参考域上进行，而在物理域上获得近似压力的收敛性。
In this paper we study the interaction problem between a nonlinear thermoelastic plate and a compressible viscous fluid with the adiabatic constant $γ>12/7$. The existence of a weak solution for this problem is obtained by constructing a time-continuous operator splitting scheme that decouples the fluid and the structure. The fluid sub-problem is given on a fixed reference domain in the arbitrary Lagrangian-Eulerian (ALE) formulation, and the continuity equation is damped on this domain as well. This allows the majority of the analysis to be performed on the fixed reference domain, while the convergence of the approximate pressure is obtained on the physical domain.
