Mathematics

Динамика самогравитирующего пылевого диска в слабонелинейном режиме

V. M. Zhuravlev^a, A. V. Patrushev<sup>b

a</sup> Ulyanovsk State University, Ulyanovsk
^b University of West Ontario (London, Ontario, Canada)

Abstract: The article considers a problem of dynamics of self-gravitation dust disk internal friction when approaching a static condititon. The investigation takes into account dynamics nonlinearity in hydrodynamic approximation. The authors discovered asymptotic exact solutions in nonlinear approximation that derive ring and spiral structures in a disk for $t \rightarrow \infty$.

Keywords: dust disk structures, planet's rings, galaxy spiral structures, nonlinear processes.

UDC: 521.14; 52-856; 523.46-862