Transonic limit of traveling waves of the Euler-Korteweg system
Analysis of PDEs
2022-12-07 v1
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.
Keywords
Cite
@article{arxiv.2212.02819,
title = {Transonic limit of traveling waves of the Euler-Korteweg system},
author = {Marc-Antoine Vassenet},
journal= {arXiv preprint arXiv:2212.02819},
year = {2022}
}