On a wave equation with a boundary condition associated with capillary waves

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Date

1998-09

Journal Title

Journal ISSN

Volume Title

Publisher

Siam Publications

Abstract

This paper discusses an initial-boundary value problem for a wave equation with a nonstandard boundary condition associated with linear capillary waves on the surface of a compressible liquid. We prove the well-posedness of this problem. Our main technical device is the Fourier transform.

Description

Keywords

wave equation, initial-boundary value problem, capillary waves, mathematics, applied

Citation

Kim, J. U., "On a wave equation with a boundary condition associated with capillary waves," SIAM J. Math. Anal., 30(1), 53-71, (1998). DOI: 10.1137/s003614109732821x