I. KARLIN and S. SUCCI
On the H-theorem in lattice kinetic theory
Pages 143-154
Received: 22 September 1999
Mathematics Subject Classification (2000): 82C40 - 82C20
Abstract This paper reviews recent results of the entropy-based approach to the Lattice Boltzmann method for simulation of hydrodynamics. Two issues are discussed: Which entropy functions are relevant to hydrodynamics, and how the classical Boltzmann's H-theorem is modified under discrete time dynamics.