TY - JOUR
T1 - Weak-Strong Uniqueness and High-Friction Limit for Euler-Riesz Systems
AU - Alves , Nuno J.
AU - Carrillo , José A.
AU - Choi , Young-Pil
JO - Communications in Mathematical Analysis and Applications
VL - 2
SP - 266
EP - 286
PY - 2024
DA - 2024/07
SN - 3
DO - http://doi.org/10.4208/cmaa.2024-0011
UR - https://global-sci.org/intro/article_detail/cmaa/23229.html
KW - Euler-Riesz equations, weak-strong uniqueness, high-friction limit, relative
energy method.
AB - <p style="text-align: justify;">In this work, we employ the relative energy method to obtain a weak-strong uniqueness principle for a Euler-Riesz system, as well as to establish its
convergence in the high-friction limit towards a gradient flow equation. The
main technical challenge in our analysis is addressed using a specific case of
a Hardy-Littlewood-Sobolev inequality for Riesz potentials.</p>