论文标题
关于流体结构相互作用系统的简化模型的严格推导的综述
A review on rigorous derivation of reduced models for fluid-structure interaction systems
论文作者
论文摘要
在本文中，我们审查并系统化了关于六阶薄膜方程的合理性的数学理论，作为减少模型的各种流体结构相互作用系统的模型，其中流体在弹性结构下润滑。理由是基于对能量估计值的仔细检查，原始流体结构相互作用系统的解决方案的弱收敛结果对六阶薄膜方程的溶液以及提供强大收敛结果的定量误差估计值。
In this paper we review and systematize the mathematical theory on justification of sixth-order thin-film equations as reduced models for various fluid-structure interaction systems in which fluids are lubricating underneath elastic structures. Justification is based on careful examination of energy estimates, weak convergence results of solutions of the original fluid-structure interaction systems to the solution of the sixth-order thin-film equation, and quantitative error estimates which provide even strong convergence results.
