Extending relative entropy for Korteweg-Type models with non-monotone pressure:large friction limit and weak-strong uniqueness
Analysis of PDEs
2025-09-10 v1
Abstract
In this paper we study weak-strong uniqueness and singular relaxation limits for the Euler--Korteweg and Navier--Stokes--Korteweg systems with non monotone pressure. Both weak-strong uniqueness and the relaxation limit are investigated using relative entropy technique. We make use of the enlarged formulation of the model in terms of the drift velocity introduced in [6], generalizing in this way results proved in [17] for the Euler-Korteweg model, by allowing more general capillarity functions, and the result contained in [8] for the monotone pressure case.
Keywords
Cite
@article{arxiv.2501.02915,
title = {Extending relative entropy for Korteweg-Type models with non-monotone pressure:large friction limit and weak-strong uniqueness},
author = {Giada Cianfarani Carnevale and Jan Giesselmann},
journal= {arXiv preprint arXiv:2501.02915},
year = {2025}
}