THE LARGE-SCALE STRUCTURE OF THE UNIVERSE AND QUASI-VORONOI TESSELLATION OF SHOCK FRONTS IN FORCED BURGERS TURBULENCE IN Rd

• 成果类型: Article
• 署名作者: Molchanov, S. A.; Surgailis, D.; Woyczynski, W. A.
• 署名单位: University of North Carolina; University of North Carolina Charlotte; Vilnius University; University System of Ohio; Case Western Reserve University; University System of Ohio; Case Western Reserve University
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• 发表日期: 1997
• 页码: 200-228
• 关键词: equation; EVOLUTION; voids

摘要

Burgers turbulence is an accepted formalism for the adhesion model of the large-scale distribution of matter in the universe. The paper uses variational methods to establish evolution of quasi-Voronoi (curved boundaries) tessellation structure of shock fronts for solutions of the inviscid nonhomogeneous Burgers equation in R-d in the presence of random forcing due to a degenerate potential. The mean rate of growth of the quasi-Voronoi cells is calculated and a scaled limit random tessellation structure is found. Time evolution of the probability that a cell contains a ball of a given radius is also determined.