Domain of definition of Levermore’s five–moment system
نویسنده
چکیده
The simplest system in Levermore’s moment hierarchy involving moments higher than second order is the five–moment closure. It is obtained by taking velocity moments of the one–dimensional Boltzmann equation under the assumption that the velocity distribution is a maximum–entropy function. The moment vectors for which a maximum–entropy function exist consequently make up the domain of definition of the system. The aim of this article is a complete characterization of the structure of the domain of definition and the connected maximum–entropy problem. The space homogeneous case of the equation and numerical aspects are also addressed.
منابع مشابه
Performance-Based Plastic Design of Moment Frame-Steel Plate Shear Wall as a Dual System
Steel Plate Shear Wall (SPSW) is an emerging seismic load-resistant system that, compared to other systems, enjoys the advantages of stable ductile behavior, fewer detailing requirements, rapid constructability, and economy. American seismic provisions decree that a SPSW should be designed as a moment frame with a web infill plate. Specifically, in case of buildings taller than 160 ft, it decre...
متن کاملExtended Gas Dynamic Equations for Microflows
In an early approach, we proposed a kinetic model with multiple translational temperature [K. Xu, H. Liu and J. Jiang, Phys. Fluids 19, 016101 (2007)] to simulate non-equilibrium flows. In this paper, instead of using three temperatures in the x−, y−, and z-directions, we further define the translational temperature as a second-order symmetric tensor. Based on a multiple stage BGK-type collisio...
متن کاملQuantum moment hydrodynamics and the entropy principle
This paper presents how a non-commutative version of the entropy extremalization principle allows to construct new quantum hydrodynamic models. Our starting point is the moment method, which consists in integrating the quantum Liouville equation with respect to momentum p against a given vector of monomials of p. Like in the classical case, the so-obtained moment system is not closed. Inspired ...
متن کاملGeneralized Gas Dynamic Equations for Microflows
In an early approach, we proposed a kinetic model with multiple translational temperature [K. Xu, H. Liu and J. Jiang, Phys. Fluids 19, 016101 (2007)], to simulate non-equilibrium flows. In this paper, instead of using three temperatures in x−, y−, and z-directions, we are going to further define the translational temperature as a second-order symmetric tensor. Based on a multiple stage BGK-typ...
متن کاملFive-value rich lines, Borel directions and uniqueness of meromorphic functions
For a meromorphic function $f$ in the complex plane, we shall introduce the definition of five-value rich line of $f$, and study the uniqueness of meromorphic functions of finite order in an angular domain by involving the five-value rich line and Borel directions. Finally, the relationship between a five-value rich line and a Borel direction is discussed, that is, every Borel direction of $f$ ...
متن کامل