Kawasaki dynamics in the continuum via generating functionals evolution

Authors

  • D. L. Finkelshtein Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine https://orcid.org/0000-0001-7136-9399
  • Yu. G. Kondratiev Fakultat fur Mathematik, Universitat Bielefeld, D 33615 Bielefeld, Germany; Forschungszentrum BiBoS, Universitat Bielefeld, D 33615 Bielefeld, Germany
  • M. J. Oliveira Universidade Aberta, P 1269-001 Lisbon, Portugal; CMAF, University of Lisbon, P 1649-003 Lisbon, Portugal https://orcid.org/0000-0002-4027-9849

DOI:

Keywords:

Generating functional, Kawasaki dynamics, interacting particle system, continuous system, Ovsjannikov’s method, Vlasov scaling

Abstract

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.

Downloads

Published

2012-03-25

Issue

Vol. 18 No. 1 (2012)

Section

Articles

How to Cite

Finkelshtein, D. L., et al. “Kawasaki Dynamics in the Continuum via Generating Functionals Evolution”. Methods of Functional Analysis and Topology, vol. 18, no. 1, Mar. 2012, pp. 55-67, https://zen.imath.kiev.ua/index.php/mfat/article/view/504.