Zobrazeno 1 - 10
of 305
pro vyhledávání: '"Glimm, James"'
A principle of maximum entropy is proposed in the context of viscous incompressible flow in Eulerian coordinates. The relative entropy functional, defined over the space of $L^2$ divergence-free velocity fields, is maximized relative to alternate mea
Externí odkaz:
http://arxiv.org/abs/2402.14240
The mean of Young measure solutions for the Navier-Stokes equations with general initial conditions are PDE solutions of the Navier-Stokes equation of the class considered by Leray and Hopf.
Comment: A critical error was found in one of the proo
Comment: A critical error was found in one of the proo
Externí odkaz:
http://arxiv.org/abs/2309.02381
Autor:
Lee, Min Chul, Glimm, James
This paper extends the notion of Schwinger functions to quantum Yang-Mills theories and proposes the axioms they should satisfy. Two main features of this axiom scheme is that we assume existence of gauge-invariant co-located Schwinger functions and
Externí odkaz:
http://arxiv.org/abs/2112.08575
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 matter fields. The construction occurs in a fixed finite Euclidean spatia
Externí odkaz:
http://arxiv.org/abs/2107.05981
Autor:
Petrillo, Jarret, Glimm, James
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 model of inertial range scaling and its generalizations. Our modifica
Externí odkaz:
http://arxiv.org/abs/2102.09028
We formulate multifractal models for velocity differences and gradients which describe the full range of length scales in turbulent flow, namely: laminar, dissipation, inertial, and stirring ranges. The models subsume existing models of inertial rang
Externí odkaz:
http://arxiv.org/abs/2003.06968
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 distribution is labeled as the physical solution in the remainder of the
Externí odkaz:
http://arxiv.org/abs/2003.05517
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 the Euler equations for fluid flow, which serve to complete these under
Externí odkaz:
http://arxiv.org/abs/1901.07380
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 can be seen as an extension of the second law of thermodynamics. In our
Externí odkaz:
http://arxiv.org/abs/1811.05888
Autor:
Chen, Gui-Qiang G., Glimm, James
We are concerned with the inviscid limit of the Navier-Stokes equations to the Euler equations for compressible fluids in $\mathbb{R}^3$. Motivated by the Kolmogorov hypothesis (1941) for incompressible flow, we introduce a Kolmogorov-type hypothesis
Externí odkaz:
http://arxiv.org/abs/1809.09490