3 papers
math.AP2026
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…
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-ph2025
Construction of Nontrivial Quantum Gauge Theories: The Continuum limit in a Finite Volume
James Glimm, Jarret Petrillo, Min Chul Lee
We construct several quantum gauge theories in 4 dimensional space time, including both Abelian and non Abelian gauge groups, with the Abelian gauge fields coupled to zero mass mat…