PreprintCC BY 4.0arXiv
Hasegawa-Mima equation as limit of a magnetized pressureless Euler-Boltzmann system
Abstract
We prove that the Hasegawa-Mima equation (HME) is the limit of a magnetized pressureless Euler-Boltzmann system in a special scaling regime. The proof relies on the derivation of a uniform estimate independent of the scaling parameter, using the particular structure of the singular system and the identification of a combination of the unknowns that compensates for fast oscillations in time. We also show that HME allow us to investigate a conditional property of inverse energy cascade and drift waves.
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BibTeX
@misc{butori2026hasegawamima,
title = {{Hasegawa-Mima equation as limit of a magnetized pressureless Euler-Boltzmann system}},
author = {Federico Butori and Franco Flandoli and Yassine Tahraoui},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.30788},
eprint = {2610.30788},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.30788},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Hasegawa-Mima equation as limit of a magnetized pressureless Euler-Boltzmann system
AU - Federico Butori
AU - Franco Flandoli
AU - Yassine Tahraoui
PY - 2026
DA - 2026/10/22
PB - arXiv
DO - 10.48550/arxiv.2610.30788
UR - https://arxiv.org/abs/2610.30788
AB - We prove that the Hasegawa-Mima equation (HME) is the limit of a magnetized pressureless Euler-Boltzmann system in a special scaling regime. The proof relies on the derivation of a uniform estimate independent of the scaling parameter, using the particular structure of the singular system and the identification of a combination of the unknowns that compensates for fast oscillations in time. We also show that HME allow us to investigate a conditional property of inverse energy cascade and drift waves.
ER -