Navier-Stokes系统与梁耦合系统的Gevrey正则性:非平坦情况

Pub Date : 2019-10-16 DOI:10.1619/fesi.65.63

Mehdi Badra, Takéo Takahashi

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引用次数: 8

摘要

我们考虑一个二维粘性不可压缩流体与位于其边界的梁相互作用。我们证明了这种流体-结构相互作用系统的强解的存在，扩展了之前我们假设梁的初始变形很小的结果。证明的要点在于对线性化系统的研究，特别是证明相应的半群是Gevrey类的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Gevrey Regularity for a System Coupling the Navier-Stokes System with a Beam: the Non-Flat Case

We consider a bi-dimensional viscous incompressible fluid in interaction with a beam located at its boundary. We show the existence of strong solutions for this fluid-structure interaction system, extending a previous result where we supposed that the initial deformation of the beam was small. The main point of the proof consists in the study of the linearized system and in particular in proving that the corresponding semigroup is of Gevrey class.

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