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math.AP2025
Smooth Solutions of the Navier-Stokes Equation
James Glimm, Jarret Petrillo
Smooth solutions of the Navier-Stokes equation with smooth but otherwise unconstrained initial conditions are constructed, to solve the Millennium fluids problem in the positive. T…
math.AP2024
Non-Smooth Solutions of the Navier-Stokes Equation and their Means
J. Glimm, J. Petrillo
Non-smooth (finite time blowup) Leray-Hopf solutions of the incompressible Navier-Stokes equation are constructed. The initial data for blowup is characterized by nonzero energy re…