On a linear problem arising in dynamic boundaries

Marcelo Disconzi

doi:10.3934/eect.2014.3.627

Article Contents

2014, Volume 3, Issue 4: 627-644. Doi: 10.3934/eect.2014.3.627

This issue Previous Article Relaxation of regularity for the Westervelt equation by nonlinear damping with applications in acoustic-acoustic and elastic-acoustic coupling Next Article Exponential mixing for the white-forced damped nonlinear wave equation

On a linear problem arising in dynamic boundaries

Marcelo Disconzi^1,

1.
Department of Mathematics, Vanderbilt University, 326 Stevenson Center, Nashville, TN, 37240

Received: February 28, 2014

Revised: April 30, 2014

Published: November 2014

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Abstract

We study a linear problem that arises in the study of dynamic boundaries, in particular in free boundary problems in connection with fluid dynamics. The equations are also very natural and of interest on their own.

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Mathematics Subject Classification: Primary: 35R35; Secondary: 35Q35.

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