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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Finite-time vorticity blow-up is shown to exist for the forced 2D non-homogeneous Euler equations via adaptation of a prior Boussinesq construction.
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Vorticity blow-up for the 2D incompressible non-homogeneous Euler equations with uniform $C^{1,\sqrt{\frac{4}{3}}-1-\varepsilon}$ force
Finite-time vorticity blow-up is shown to exist for the forced 2D non-homogeneous Euler equations via adaptation of a prior Boussinesq construction.