Results 251 to 260 of about 3,788,726 (334)

Linear hydrodynamics and stability of the discrete velocity Boltzmann equations

Journal of Fluid Mechanics, 2020
The discrete velocity Boltzmann equations (DVBE) underlie the attainable properties of all numerical lattice Boltzmann methods (LBM). To that regard, a thorough understanding of their intrinsic hydrodynamic limits and stability properties is mandatory ...
P. Masset, G. Wissocq
semanticscholar   +1 more source

ON THE RELATIVISTIC BOLTZMANN EQUATION

Acta Mathematica Scientia, 1998
Summary: The author shows the invalidity of M. Dudyński's and M. L. Ekiel-Jeżewska's existence proof (1992) for the relativistic Boltzmann equation. He proves global existence of mild solutions of its initial value problem with initial data only satisfying the natural bound, i.e., finite mass, ``inertia'', energy and entropy.
openaire   +2 more sources

Exact Lattice Boltzmann Equation

Physical Review Letters, 2013
The lattice Boltzmann equation is derived from the Bhatnagar-Gross-Krook kinetic equation using the Euler-Maclaurin integration formula. Unlike previous attempts to connect the lattice Boltzmann method with the kinetic theory, the result is free of any relaxation-type approximation.
Bösch F, Karlin IV
openaire   +3 more sources

THE BOLTZMANN EQUATION IS A RENORMALIZATION GROUP EQUATION

International Journal of Modern Physics B, 2000
It is known that renormalization group (RG) approaches to partial differential equations give reduced equations, e.g., amplitude equations, as renormalization group equations. Therefore, equations governing slow or global behaviors ought to be derived RG-theoretically.
Pashko, O., Oono, Yoshitsugu
openaire   +2 more sources

Quasiparticle Boltzmann equation in semiconductors

Physical Review B, 1994
The quasiparticle approximation and corrections beyond it are derived from expansion in the spirit of the virial corrections. This way, the Boltzmann equation for electrons in semiconductors is recovered from the nonequilibrium Green's functions without unjustified neglect of the former theory.
, Spicka, , Lipavsk
openaire   +3 more sources

The Boltzmann Equation

1995
Systems consisting of a large number of particles are often most easily described by a probability density function / ( # , p , t), which gives the probability of finding a particle (molecule, photon, electron, etc.) at a position x and with momentum p.
Alfred Kersch, William J. Morokoff
openaire   +1 more source

Coherent quantum Boltzmann equations from cQPA

, 2010
We reformulate and extend our recently introduced quantum kinetic theory for interacting fermion and scalar fields. Our formalism is based on the coherent quasiparticle approximation (cQPA) where nonlocal coherence information is encoded in new spectral ...
Matti Herranen   +2 more
semanticscholar   +1 more source

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