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arXiv · 2509.16754

Hasegawa-Mima equation in bounded domain with singular density

Franco Flandoli·Yassine Tahraoui
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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.

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Franco Flandoli, Yassine Tahraoui. 2025-09-20. Hasegawa-Mima equation in bounded domain with singular density. https://arxiv.org/abs/2509.16754

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