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math.AP2017
Nonuniqueness of weak solutions to the Navier-Stokes equation
Tristan Buckmaster, Vlad Vicol
For initial datum of finite kinetic energy, Leray has proven in 1934 that there exists at least one global in time finite energy weak solution of the 3D Navier-Stokes equations. In…
math.AP2017
Onsager's conjecture for admissible weak solutions
Tristan Buckmaster, Camillo De Lellis, László Székelyhidi +1
We prove that given any , a time interval , and given any smooth energy profile , there exists a weak solution of the three-dimensi…