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.
Publié le : 1997-02-14
Classification:
Forced Burgers turbulence,
quasi-Voronoi tessellations,
large-scale structure of the Universe,
60H15,
60G60,
60K40,
70K40,
76L05,
83F05,
35Q53
@article{1034625260,
author = {Molchanov, S. A. and Surgailis, D. and Woyczynski, W. A.},
title = {The large-scale structure of the universe and quasi-Voronoi
tessellation of shock fronts in forced Burgers turbulence in $\bold R\sp
{d}$},
journal = {Ann. Appl. Probab.},
volume = {7},
number = {1},
year = {1997},
pages = { 200-228},
language = {en},
url = {http://dml.mathdoc.fr/item/1034625260}
}
Molchanov, S. A.; Surgailis, D.; Woyczynski, W. A. The large-scale structure of the universe and quasi-Voronoi
tessellation of shock fronts in forced Burgers turbulence in $\bold R\sp
{d}$. Ann. Appl. Probab., Tome 7 (1997) no. 1, pp. 200-228. http://gdmltest.u-ga.fr/item/1034625260/