Stationary Solutions of Damped Stochastic 2-dimensional Euler's Equation
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🧮 math.PR
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solutionsstationarydampeddimensionalequationeulerexistencevortices
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Existence of stationary point vortices solution to the damped and stochastically driven Euler's equation on the two dimensional torus is proved, by taking limits of solutions with finitely many vortices. A central limit scaling is used to show in a similar manner the existence of stationary solutions with white noise marginals.
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