On a wave equation with a boundary condition associated with capillary waves
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Date
1998-09
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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