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August, 2018 Reconsidering Hocking's Edge Condition: Solution of the Problem of Forced Capillary-Gravity Waves in a Finite Depth Setting
Nai-Sher Yeh
Taiwanese J. Math. 22(4): 881-899 (August, 2018). DOI: 10.11650/tjm/171205

Abstract

The paper constructs the solution of a forced capillary-gravity waves problem outside a cylindrical wavemaker of finite depth under Hocking's edge condition. After introducing the setting of the problem, it obtains the solution and proves its uniqueness. Possible applications of the result for future researches, including the application of the model to earthquakes, are also discussed at the end.

Citation

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Nai-Sher Yeh. "Reconsidering Hocking's Edge Condition: Solution of the Problem of Forced Capillary-Gravity Waves in a Finite Depth Setting." Taiwanese J. Math. 22 (4) 881 - 899, August, 2018. https://doi.org/10.11650/tjm/171205

Information

Received: 18 May 2017; Revised: 9 November 2017; Accepted: 19 December 2017; Published: August, 2018
First available in Project Euclid: 4 January 2018

zbMATH: 06965401
MathSciNet: MR3830825
Digital Object Identifier: 10.11650/tjm/171205

Subjects:
Primary: 35Q92 , 76B45 , 76D45

Keywords: capillary-gravity waves , cylindrical wavemaker , earthquakes , Hocking's edge condition

Rights: Copyright © 2018 The Mathematical Society of the Republic of China

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Vol.22 • No. 4 • August, 2018
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