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math-ph2024
Equilibrium of Charges and Differential Equations Solved by Polynomials II
Igor Loutsenko, Oksana Yermolayeva
We continue study of equilibrium of two species of 2d coulomb charges (or point vortices in 2d ideal fluid) started in (Igor Loutsenko, J. Phys. A: Math. Gen. 37, 1309, 2004). Alth…
math-ph2024
Vortices and Factorization
Igor Loutsenko, Oksana Yermolayeva
We review applications of factorization methods to the problem of finding stationary point vortex patterns in two-dimensional fluid mechanics. Then we present a new class of patter…