0000000000667028

AUTHOR

Joaquín Marro

showing 2 related works from this author

On the existence of kinetic equations

1974

The existence of the Boltzmann equation and its generalizations is studied by analysing the order of magnitude of their terms. As a consequence we conclude that the reduced distribution functions are not analytic in the density.

Physicssymbols.namesakeDifferential equationLattice Boltzmann methodssymbolsStatistical mechanicsPoisson–Boltzmann equationPlasma modelingBoltzmann equationMaxwell–Boltzmann distributionBoltzmann distributionMathematical physicsIl Nuovo Cimento B Series 11
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On the generalization of the Boltzmann equation

1974

Starting from the Liouville equation and making use of projection operator techniques we obtain a compact equation for the rate of change of then-particle momentum distribution function to any order in the density. This equation is exact in the thermodynamic limit. The terms up to second order in the density are studied and expressions are given for the errors committed when one makes the usual hypothesis to derive generalized Boltzmann equations. Finally the Choh-Uhlenbeck operator is obtained under additional assumptions.

Laplace's equationPhysicsPartial differential equationZwanzig projection operatorIntegro-differential equationFunctional equationApplied mathematicsFokker–Planck equationBoltzmann equationBhatnagar–Gross–Krook operatorIl Nuovo Cimento B Series 11
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