On the convergence to equilibrium for the B.E., B. Wennberg; formation of Maxwellian tails, A.V. Bobylev; mathematical analysis of quantum kinetic equations, P. Markowich; a simple balance method for transport in stochastic mixtures, G. Pomraning; resolution of Riemann problem for Euler equations of Broadwell systems via the fluid dynamic limit, M. Slemrod; paraxial approximations of the Vlasov Maxwell equations, P.A. Raviart; admissible wave fans for hyperbolic systems of conservation laws, C.M. Dafermos; examples of non trivial large amplitude oscillations in conservation laws, M. Rascle; on long time asymptotics of the Vlasov-Poisson Boltzmann system, J.M. Dolbeault; generalizations of the Boltzmann equation and developments in mathematical biology, N. Bellomo; on extended kinetic theory with chemical reactions, G. Spiga; the semicontinuous Boltzmann equation - towards fluid dynamic applications, L. Preziosi. (Part contents)