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math.AP2023
Leapfrogging vortex rings as scaling limit of Euler Equations
Paolo Buttà, Guido Cavallaro, Carlo Marchioro
We consider an incompressible fluid with axial symmetry without swirl, assuming initial data such that the initial vorticity is very concentrated inside small disjoint rings of…
math-ph2023
From particle systems to the BGK equation
Paolo Buttà, Mario Pulvirenti, Sergio Simonella
In [Phys. Rev. 94 (1954), 511-525], P.L. Bhatnagar, E.P. Gross and M. Krook introduced a kinetic equation (the BGK equation), effective in physical situations where the Knudsen num…