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arXiv · 2503.04236

Global weak solutions for a variation of the Whitham equation

Diego Chamorro·María Eugenia Martínez
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Abstract

We study in this article a variation of the Whitham equation which was introduced as an alternative to the KdV equation. We first prove the global existence of weak solutions, then we establish a regularity criterion from which we deduce the uniqueness of weak solutions. Local in time criterions for regularity and uniqueness are also given.

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Diego Chamorro, María Eugenia Martínez. 2025-03-06. Global weak solutions for a variation of the Whitham equation. https://arxiv.org/abs/2503.04236

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