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math.AP2018
Non-uniqueness of Weak Solutions to Hyperviscous Navier-Stokes Equations -- On Sharpness of J.-L. Lions Exponent
Tianwen Luo, Edriss S. Titi
Using the convex integration technique for the three-dimensional Navier-Stokes equations introduced by T. Buckmaster and V. Vicol, it is shown the existence of non-unique weak solu…
math.AP2018★ 6 cited
Hölder Continuous Solutions to the Three-dimensional Prandtl System
Tianwen Luo, Zhouping Xin
Adapting the convex integration technique introduced by De Lellis and Sz{é}kelyhidi, we construct Hölder continuous weak solutions to the three dimensional Prandtl system and some…