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math.AP2023★ 2 cited
Axisymmetric Incompressible Viscous Plasmas: Global Well-Posedness and Asymptotics
Diogo Arsénio, Zineb Hassainia, Haroune Houamed
This paper is devoted to the global analysis of the three-dimensional axisymmetric Navier--Stokes--Maxwell equations. More precisely, we are able to prove that, for large values of…
math.AP2023★ 1 cited
Dynamic Behavior of a Multi-Layer Quasi-Geostrophic Model: Weak and Time-Periodic Solutions
Zineb Hassainia, Haroune Houamed
The quasi-geostrophic two-layer (QS2L) system models the dynamic evolution of two interconnected potential vorticities, each is governed by an active scalar equation. These vortici…
math.AP2023
Stability analysis of two-dimensional ideal flows with applications to viscous fluids and plasmas
Diogo Arsénio, Haroune Houamed
We are interested in the stability analysis of two-dimensional incompressible inviscid fluids. Specifically, we revisit a recent result on the stability of Yudovich's solutions to…