@Article{CMAA-3-3,
author = {Wang, Dehua and Yu, Cheng},
title = {Inviscid Limit of the Navier-Stokes-Korteweg Equations under the Weak Kolmogorov Hypothesis in $\mathbb{R}^3$},
journal = {Communications in Mathematical Analysis and Applications},
year = {2024},
volume = {3},
number = {3},
pages = {369--383},
abstract = {<p style="text-align: justify;">This paper establishes the weak convergence of global solutions for
the Navier-Stokes-Korteweg equations under the weak Kolmogorov hypothesis in the three-dimensional periodic domain. Specifically, the weak Kolmogorov hypothesis offers uniform bounds for weak solutions, ensuring their weak
stability under vanishing viscosity. With compactness arguments, we show
that the solutions of the Navier-Stokes-Korteweg equations converge to a global weak solution of the Euler-Korteweg equations.</p>},
issn = {2790-1939},
doi = {https://doi.org/10.4208/cmaa.2024-0015},
url = {https://global-sci.com/article/90973/inviscid-limit-of-the-navier-stokes-korteweg-equations-under-the-weak-kolmogorov-hypothesis-in-mathbbr3}
}