2 citations · 7 across the 10 of their papers we have counts for
9 papers
Uniformly Rotating Euler Configurations with Multiple Vorticity Holes
Vittorio Baroncini, Juan Carlos Cantero, Claudia García +2
We construct new families of uniformly rotating vortex-patch solutions of the two-dimensional incompressible Euler equations consisting of a simply connected outer patch and multip…
Time-periodic leapfrogging vortex rings in the 3D Euler equations
Claudia García, Zineb Hassainia, Taoufik Hmidi
We prove the existence of time-periodic leapfrogging vortex rings for the three-dimensional incompressible Euler equations, thereby providing a rigorous realization of a phenomenon…
Desingularization of time-periodic vortex motion in bounded domains via KAM tools
Zineb Hassainia, Taoufik Hmidi, Emeric Roulley
We examine the Euler equations within a simply-connected bounded domain. The dynamics of a single point vortex are governed by a Hamiltonian system, with most of its energy levels…
Rigorous derivation of the leapfrogging motion for planar Euler equations
Zineb Hassainia, Taoufik Hmidi, Nader Masmoudi
The main goal of this paper is to explore the leapfrogging phenomenon in the inviscid planar flows. We show for 2d Euler equations that under suitable constraints, four concentrate…
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…
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…