2 papers
math.AP2025
On the zero capillarity limit for the Euler-Korteweg system
Corentin Audiard, Marc-Antoine Vassenet
We study the Euler-Korteweg equations with a weak capillarity tensor. It formally converges to the Euler equations in the zero capillarity limit. Our aim is two-fold : first we pro…
math.AP2022
Transonic limit of traveling waves of the Euler-Korteweg system
Marc-Antoine Vassenet
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.…