Solving the Boltzmann equation in N log N

As a continuation of our series works on the Boltzmann equation without angu- lar cutoff assumption, in this part, the global existence of solution to the Cauchy problem in the

Among deterministic methods to approximate the Boltzmann collision integral, one of the most popular is represented by discrete velocity models (DVM)... discrete collision mechanics

To define the quantum Maxwellian (Bose-Einstein or Fermi- Dirac distribution) at each time step and every mesh point, one has to invert a nonlinear equation that connects

Proof of stability on an arbitrary bounded time interval In this section we first give some technical lemmas and next establish a result showing existence and uniqueness of a

ing uniform in time regularity and asymptotic convergence to equilibrium; • finally we use that the equilibrium is unchanged by the smooth balanced perturbation, and that it

(2010); Guo (2016)) in order to prove the strong convergence of the solutions to the Boltzmann equation towards the incompressible Navier-Stokes equation without resorting to the

Hydrodynamic limit, Boltzmann equation, Hard cutoff poten- tial, Incompressible Navier-Stokes equations, Renormalized solutions, Leray

Uffink and Valente (2015) claim that neither the B-G limit, nor the ingoing configurations are responsible for the appearance of irreversibility. Their argu- ments are specific for