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arXiv · 1708.02115

Small data global solutions for the Camassa-Choi equations

Benjamin Harrop-Griffiths·Jeremy L. Marzuola
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Abstract

We consider solutions to the Cauchy problem for an internal-wave model derived by Camassa-Choi in a paper in Journal of Fluid Mechanics (1996). This model is a natural generalization of the Benjamin-Ono and Intermediate Long Wave equations in the case of weak transverse effects. We prove the existence and long-time dynamics of global solutions from small, smooth, spatially localized initial data on $\mathbb{R}^2$.

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Benjamin Harrop-Griffiths, Jeremy L. Marzuola. 2017-08-07. Small data global solutions for the Camassa-Choi equations. https://doi.org/10.1088/1361-6544/aaa7b6

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