Quantitative Closure Analysis toward Ideal Fluids
Abstract
We establish the incompressible low--Mach/high--Reynolds limit for the Boltzmann equation for a broad class of initial data, without recourse to any asymptotic expansion. Exploiting the local Maxwellian manifold and the macro--micro decomposition in a new quasi-linear analysis, we derive quantitative estimates for the purely microscopic fluctuation, as well as bounds for the kinetic vorticity and the entropic fluctuation in terms of the initial data. As a consequence, in two space dimensions, the rescaled velocity and temperature converge to a global solution of the incompressible Euler equations coupled to a transported temperature, within the frameworks of DiPerna--Lions--Majda and Delort.
Cite
@article{arxiv.2603.14671,
title = {Quantitative Closure Analysis toward Ideal Fluids},
author = {Gi-Chan Bae and Chanwoo Kim},
journal= {arXiv preprint arXiv:2603.14671},
year = {2026}
}
Comments
144 pages; minor changes in presentation. This arXiv preprint is the detailed companion to the compact journal-submission version of the same title and is posted on arXiv.org for readers' convenience. This version is not intended for separate journal publication