Hasegawa-Mima equation in bounded domain with singular density
Analysis of PDEs
2025-09-23 v1 Mathematical Physics
math.MP
Abstract
We investigate the well-posedness of Hasegawa-Mima equation (HME) in bounded domain with Dirichlet boundary condition and singular density under different regularity assumptions on the data. Our approach relies on the coupling of a fourth-order regularization of the HME, the spectral Galerkin method and an appropriate regularization of the singular density. Uniqueness holds in the class of solutions with very mild singularities \`a la Yudovich or with bounded densities.
Cite
@article{arxiv.2509.16754,
title = {Hasegawa-Mima equation in bounded domain with singular density},
author = {Franco Flandoli and Yassine Tahraoui},
journal= {arXiv preprint arXiv:2509.16754},
year = {2025}
}
Comments
25 pages