On the asymptotic behaviour of solutions of nonlinear kinetic equations

Summary The asymptotic behaviour of solutions of the kinetic equations on the level of the Euler fluid dynamics is studied. In contrast to the previous studies in Sobolev spaces, the analysis is carried out in C⁰ (with respect to the space variable) setting. Thus, one needs to use only few Hilbert and initial layer terms, and consequently a lower smoothness is required for the solution of the Euler system.on leave from Wydzia Matematyki, Uniwersytet Warszawski, Poland.