Kawasaki dynamics in the continuum via generating functionals evolution

Finkelshtein, Dmitri L.; Kondratiev, Yuri G.; Oliveira, Maria João

http://hdl.handle.net/10400.2/2143

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Authors

Finkelshtein, Dmitri L.

Kondratiev, Yuri G.

Oliveira, Maria João

Abstract(s)

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.

Keywords

Generating functional Kawasaki dynamics Interacting particle system Continuous system Ovsjannikov's method Vlasov scaling

URI

http://hdl.handle.net/10400.2/2143

Citation

Finkelshtein, 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.55-67