2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127492Exact solution to the hierarchy of nonlinear lattice Boltzmann (LB) kinetic equations in the stationary planar Couette flow is found at non-vanishing Knudsen numbers. A new method of solving LB kinetic equations which combines the method of moments with boundary conditions for populations enables to derive closed-form solutions for all higher-order moments. Convergence of results suggests that the LB hierarchy with larger velocity sets is the novel way to approximate kinetic theory.12 pages, 4 figures, to appear in PRL. Published version is shortened to meet the page limitStatistical MechanicsComputational PhysicsFluid Dynamicstext