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math.AP2020★ 48 cited
Non Uniqueness of power-law flows
Jan Burczak, Stefano Modena, László Székelyhidi
We apply the technique of convex integration to obtain non-uniqueness and existence results for power-law fluids, in dimension . For the power index below the compactne…
math.AP2020★ 5 cited
On regularity properties of a surface growth model
Jan Burczak, Wojciech S. Ożański, Gregory Seregin
We show local higher integrability of derivative of a suitable weak solution to the surface growth model, provided a scale-invariant quantity is locally bounded. If additionally ou…