Finkelshtein, Dmitri L.Kondratiev, Yuri G.Oliveira, Maria João2012-07-272012-07-272012Finkelshtein, D. L.; Kondratiev, Y. G.; Oliveira, M. J. - Kawasaki dynamics in the continuum via generating functionals evolution. "Methods of Functional Analysis and Topology" [Em linha]. ISSN 1029-3531. Vol. 18, nº 1 (2012), p.55-671029-3531http://hdl.handle.net/10400.2/2143We construct the time evolution of Kawasaki dynamics for a spatial infinite particle system in terms of generating functionals. This is carried out by an Ovsjannikov-type result in a scale of Banach spaces, which leads to a local (in time) solution. An application of this approach to Vlasov-type scaling in terms of generating functionals is considered as well.engGenerating functionalKawasaki dynamicsInteracting particle systemContinuous systemOvsjannikov's methodVlasov scalingjournal article