On Strongly Interacting Internal Solitary Waves

Abstract

The Cauchy problem and global well-posedness for a mathematical model of the strong interaction of two-dimensional, long, internal gravity waves propogating on neighboring pycnoclines in a stratified fluid have been studied by Bona, Ponce, Saut, Tom, and others. We show that global well-posedness occurs even when the initial data is rough.

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1. Department of the Math Sciences, De Paul University, 2219 North Kenmore Avenue, Chicago, Illinois 60614-3304, USA

   J. Marshall Ash, Jonathan Cohen & Gang Wang

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1. J. Marshall Ash
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2. Jonathan Cohen
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3. Gang Wang
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Ash, J., Cohen, J. & Wang, G. On Strongly Interacting Internal Solitary Waves. J Fourier Anal Appl 2, 507–517 (1995). https://doi.org/10.1007/s00041-001-4041-4

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• Received: 19 October 1994

• Issue Date: October 1995

• DOI: https://doi.org/10.1007/s00041-001-4041-4

Keywords

• Initial Data
• Cauchy Problem
• Schwarz Inequality
• Vries Equation
• Internal Gravity Wave