环面上随机2D流体模型的异常正则化和弱唯一性

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We consider stochastic 2D Euler equations with L2 initial data on the torus, driven by Kraichnan transport noise with parameter α ∈ (0, 1/2). Thanks to the noise, the equation admits weak solutions with anomalous regularity, roughly speaking, the H1−α norm of solution is square integrable in time. This enables us to prove the anomalous dissipation and uniqueness in law of weak solutions through G…