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University proceedings. Volga region. Physical and mathematical sciences, 2011, Issue 1, Pages 69–79 (Mi ivpnz556)  
Mathematics

Динамика самогравитирующего пылевого диска в слабонелинейном режиме

V. M. Zhuravleva, A. V. Patrushevb

a Ulyanovsk State University, Ulyanovsk
b University of West Ontario (London, Ontario, Canada)
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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.
Document Type: Article
UDC: 521.14; 52-856; 523.46-862
Language: Russian
Citation: V. M. Zhuravlev, A. V. Patrushev, “Динамика самогравитирующего пылевого диска в слабонелинейном режиме”, University proceedings. Volga region. Physical and mathematical sciences, 2011, no. 1, 69–79
Citation in format AMSBIB
\Bibitem{ZhuPat11}
\by V.~M.~Zhuravlev, A.~V.~Patrushev
\paper Динамика самогравитирующего пылевого диска в слабонелинейном режиме
\jour University proceedings. Volga region. Physical and mathematical sciences
\yr 2011
\issue 1
\pages 69--79
\mathnet{http://mi.mathnet.ru/ivpnz556}
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