3 papers
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…
stat.ME2021
Verification and Validation of Log-Periodic Power Law Models
Jarret Petrillo
We propose and implement a nonlinear Verification and Validation (V&V) methodology to test two fitting procedures for the log-periodic power law model (LPPL), a model that has dive…