Transonic limit of traveling waves of the Euler-Korteweg system
Résumé
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.
Origine : Fichiers produits par l'(les) auteur(s)