Introduces doubly stochastic Yule cascades for fractional Navier-Stokes equations to construct stochastic solutions and establish non-uniqueness and blowup results for an associated scalar PDE in supercritical regimes.
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Elementary proofs of local energy conservation are obtained for bounded weak Euler solutions with measure first derivatives or vorticity, avoiding convolution kernel choices by using the Euler nonlinearity.
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Fine dissipative properties of Euler solutions with measure first derivatives
Elementary proofs of local energy conservation are obtained for bounded weak Euler solutions with measure first derivatives or vorticity, avoiding convolution kernel choices by using the Euler nonlinearity.