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arXiv · 2212.02819

Transonic limit of traveling waves of the Euler-Korteweg system

Marc-Antoine Vassenet
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Abstract

We prove the convergence in the transonic limit of two-dimensional traveling waves of the E-K system, up to rescaling, toward a ground state of the Kadomtsev-Petviashvili Equation. Similarly, in dimension one we prove the convergence in the transonic limit of solitons toward the soliton of the Korteweg de Vries equation.

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Marc-Antoine Vassenet. 2022-12-06. Transonic limit of traveling waves of the Euler-Korteweg system. https://arxiv.org/abs/2212.02819

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