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math.AP2025
Sharp Strong Convergence in Ideal Flows
Haroune Houamed, Marc Magaña
We investigate the strong convergence of weak solutions to the two-dimensional Quasi-Geostrophic Shallow-Water (QGSW) equation as the inverse Rossby radius tends to zero. In this l…
math.AP2025
Ill-Posedness of the Incompressible Euler--Maxwell Equations in the Yudovich Class
Haroune Houamed
It was shown recently by Arsénio and the author that the two-dimensional incompressible Euler--Maxwell system is globally well-posed in the Yudovich class, provided that the electr…