Kawasaki dynamics in the continuum via generating functionals evolution
  We 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. 
Dmitri L. Finkelshtein, Yuri G. Kondratiev, and Maria Joao Oliveira
math-ph math.MP