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Retraction Note: Comprehensive investigations of mixed convection of Fe-ethylene-glycol nanofluid inside an enclosure with different obstacles using lattice Boltzmann method. [PDF]
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Linear hydrodynamics and stability of the discrete velocity Boltzmann equations
Journal of Fluid Mechanics, 2020The 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
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On a System of Nonlinear Boltzmann Equations of Semiconductor Physics
SIAM Journal on Applied Mathematics, 1990F Poupaud
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ON THE RELATIVISTIC BOLTZMANN EQUATION
Acta Mathematica Scientia, 1998Summary: 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.
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Exact Lattice Boltzmann Equation
Physical Review Letters, 2013The 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
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THE BOLTZMANN EQUATION IS A RENORMALIZATION GROUP EQUATION
International Journal of Modern Physics B, 2000It 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
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Quasiparticle Boltzmann equation in semiconductors
Physical Review B, 1994The 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
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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
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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
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Coherent quantum Boltzmann equations from cQPA
, 2010We 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
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