Hasegawa-Mima equation as limit of a magnetized pressureless Euler-Boltzmann system

Federico Butori; Franco Flandoli; Yassine Tahraoui

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arXiv · 2610.30788

Hasegawa-Mima equation as limit of a magnetized pressureless Euler-Boltzmann system

Federico Butori·Franco Flandoli·Yassine Tahraoui

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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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Federico Butori, Franco Flandoli, Yassine Tahraoui. 2026-10-22. Hasegawa-Mima equation as limit of a magnetized pressureless Euler-Boltzmann system. https://arxiv.org/abs/2610.30788

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