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• W2963423700 abstract "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." @default.
• W2963423700 created "2019-07-30" @default.
• W2963423700 creator A5000514751 @default.
• W2963423700 date "2015-05-01" @default.
• W2963423700 modified "2023-09-25" @default.
• W2963423700 title "A note on optimal regularity and regularizing effects of point mass coupling for a heat–wave system" @default.
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• W2963423700 doi "https://doi.org/10.1016/j.jmaa.2015.01.018" @default.
• W2963423700 hasPublicationYear "2015" @default.
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