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arXiv · 2011.08821

Geometrical demonstration for persistence properties for a bi-Hamiltonian shallow water system

Igor Leite Freire
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Abstract

We present a geometrical demonstration for persistence properties for a bi-Hamiltonian system modelling waves in a shallow water regime. Both periodic and non-periodic cases are considered and a key ingredient in our approach is one of the Hamiltonians of the system. As a consequence of our developments we improve recent works dealing with unique continuation properties for shallow water equations, as well as we provide a novel way to prove that the unique compactly supported solution of the system is necessarily the zero function.

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Igor Leite Freire. 2020-11-17. Geometrical demonstration for persistence properties for a bi-Hamiltonian shallow water system. https://doi.org/10.1063/5.0085201

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