21 citations · 53 across the 16 of their papers we have counts for
17 papers
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…
Kubo Combinatorics for Turbulence Scaling Laws
Jarret Petrillo, James Glimm
We present an extension to Kolmogorov's refined similarity hypothesis for universal fully developed turbulence. The extension is applied within Z. She and E. Leveque's multifractal…
Scaling laws for partially developed turbulence
Abigail Hsu, Ryan Kaufman, James Glimm
We formulate multifractal models for velocity differences and gradients which describe the full range of length scales in turbulent flow, namely: laminar, dissipation, inertial, an…
Maximum entropy production as a necessary admissibility condition for the fluid Navier-Stokes and Euler equations
James Glimm, Daniel Lazarev, Gui-Qiang Chen
In a particle physics dynamics, we assume a uniform distribution as the physical measure and a measure-theoretic definition of entropy on the velocity configuration space. This dis…
A crisis for the V&V of turbulence simulations
James Glimm, Baolian Cheng, David H. Sharp +1
Three very different algorithms have been proposed for solution of the Rayleigh-Taylor turbulent mixing problem. They are based upon three different physical principles governing t…
On the physical inadmissibility of ILES for simulations of Euler equation turbulence
James Glimm, Baolian Cheng, David H. Sharp +1
We present two main results. The first is a plausible validation argument for the principle of a maximal rate of entropy production for Euler equation turbulence. This principle ca…