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math.AP2026
Asymptotic profiles and large-time behavior for 3D micropolar fluid equations with possibly vanishing spin viscosity
Lorenzo Brandolese, Pablo Braz e Silva, Adriana Valentina Busuioc +2
We consider 3D micropolar flows with possible vanishing spin viscosity and investigate the decay of the energy for large times. We compute first the exact -asymptotic profile,…
math.AP2026
On the Role of the Viscosity Parameters in the Large Time Asymptotics of 2D Micropolar Flows
Lorenzo Brandolese, Adriana Valentina Busuioc, Dragos Iftimie +1
We investigate the role of the four viscosity parameters, in fluids where the particles possess a microstructure (micropolar flows) and are allowed to rotate in a two-dimensional s…
math.AP2024
On the Dynamics of Point Vortices with Positive Intensities collapsing with the boundary
Martin Donati, Ludovic Godard-Cadillac, Dragos Iftimie
In this paper, we study the point-vortex dynamics with positive intensities. We show that in the half-plane and in a disk, collapses of point vortices with the boundary in finite t…