A note on optimal regularity and regularizing effects of point mass coupling for a heat-wave system

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:425

Article

Muha, Boris

关键词: Heat-wave system;    Fluid-structure interaction;    Hyperbolic-parabolic coupling;    Coupling through point mass;    Optimal regularity;   

DOI  :  10.1016/j.jmaa.2015.01.018

来源: Elsevier

【 摘 要 】

We consider a coupled 1D heat-wave system which serves as a simplified fluid structure interaction problem. The system is coupled in two different ways: the first, when the interface does not have mass and the second, when the interface does have mass. We prove an optimal regularity result in Sobolev spaces for both cases. The main idea behind the proof is to reduce the coupled problem to a single nonlocal equation on the interface by using Neummann to Diriclet operator. Furthermore, we show that point mass coupling regularizes the problem and quantify this regularization in the sense of Sobolev spaces. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free