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Fast separation of Euler and Navier--Stokes flows in two dimensions
Abstract
We study the long-time validity of the inviscid limit problem by measuring when the two-dimensional ideal fluid ceases to accurately approximate a slightly viscous fluid with the same initial datum. We construct a stationary solution of the Euler equation from which the Navier--Stokes solution separates at a time scale proportional to the logarithm of the inverse viscosity, achieving the fastest separation from Euler steady states.
Related
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BibTeX
@misc{he2026fast,
title = {{Fast separation of Euler and Navier--Stokes flows in two dimensions}},
author = {Siming He and Yupei Huang and Jincheng Yang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.20540},
eprint = {2610.20540},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.20540},
}
RIS
TY - UNPB
TI - Fast separation of Euler and Navier--Stokes flows in two dimensions
AU - Siming He
AU - Yupei Huang
AU - Jincheng Yang
PY - 2026
DA - 2026/10/14
PB - arXiv
DO - 10.48550/arxiv.2610.20540
UR - https://arxiv.org/abs/2610.20540
AB - We study the long-time validity of the inviscid limit problem by measuring when the two-dimensional ideal fluid ceases to accurately approximate a slightly viscous fluid with the same initial datum. We construct a stationary solution of the Euler equation from which the Navier--Stokes solution separates at a time scale proportional to the logarithm of the inverse viscosity, achieving the fastest separation from Euler steady states.
ER -