Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Institution: Scuola Normale Superiore
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: European Commission
Award: G1863584654
OpenAlex ID: W7223415880