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Martin Donati
Martin Donati
CNRS, LMA Poitiers
Verified email at math.univ-poitiers.fr - Homepage
Title
Cited by
Cited by
Year
Long time confinement of vorticity around a stable stationary point vortex in a bounded planar domain
M Donati, D Iftimie
Annales de l'Institut Henri Poincaré C 38 (5), 1461-1485, 2021
172021
Two-dimensional point vortex dynamics in bounded domains: Global existence for almost every initial data
D Martin
SIAM Journal on Mathematical Analysis 54 (1), 79-113, 2022
132022
Dynamics of helical vortex filaments in non viscous incompressible flows
M Donati, C Lacave, E Miot
arXiv preprint arXiv:2403.00389, 2024
112024
Hölder regularity for collapses of point vortices
M Donati, L Godard-Cadillac
arXiv preprint arXiv:2111.14230, 2021
102021
On the dynamics of leapfrogging vortex rings
M Donati, LE Hientzsch, C Lacave, E Miot
arXiv preprint arXiv:2503.21604, 2025
62025
Construction of unstable concentrated solutions of the Euler and gSQG equations
M Donati
arXiv preprint arXiv:2303.14657, 2023
42023
Existence and Uniqueness for the SQG Vortex-Wave System when the Vorticity is Constant near the Point-Vortex
D Cobb, M Donati, L Godard-Cadillac
SIAM Journal on Mathematical Analysis 57 (3), 2316-2362, 2025
12025
Fast relaxation of a viscous vortex in an external flow
M Donati, T Gallay
arXiv preprint arXiv:2503.20643, 2025
12025
Improbability of collisions of point-vortices in bounded planar domains
M Donati
Society for Industrial and Applied Mathematics 65 (1), 227-257, 2023
12023
Long-time Confinement near Special Vortex Crystals
M Donati
Journal of Mathematical Fluid Mechanics 27 (4), 1-18, 2025
2025
On the dynamics of point vortices with positive intensities collapsing with the boundary
M Donati, L Godard-Cadillac, D Iftimie
Physica D: Nonlinear Phenomena 470, 134402, 2024
2024
Collisions de points-vortex et confinement dans les domaines bornés
M Donati
Université Claude Bernard-Lyon I, 2022
2022
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Articles 1–12