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math-ph2019
Hamiltonian description of vortex systems
Leonid I. Piterbarg
In the framework of 2D ideal Hydrodynamics a vortex system is defined as a smooth vorticity function having few positive local maxima and negative local minima separated by curves…
math-ph2019
Density of Inertial Particles: Exactly Solvable 2D Models
Leonid Piterbarg
Inertial particles in 2D driven by a Gaussian white noise forcing are considered. For two examples of the forcing (compressible and incompressible) upper and lower bounds are found…