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Дата изменения: Wed Jul 10 21:27:01 2002 Дата индексирования: Mon Oct 1 21:22:02 2012 Кодировка: |
Abstract |
Application of Lie Symmetry Analysis to
Gas- and Hydrodynamics
A.Chupakhin (Lavrentyev Institute of
Hydrodynamics, Novosibirsk, Russia)
e-mail:
chupakhin@hydro.nsc.ru
We
consider systematical application of Lie-Ovsyannikov group analysis of
differential equations to hydro- and gas dynamics problems and new original
approaches. --Classification of
SO(3)-partially invariant solutions of gas dynamics equations. Integration of
invariant submodels of this model. The special property of the Jacobi matrix of
velocity vector field in this model: algebraic invariants depend only on
invariant independent variables. --Differential invariant vectors and tensors.
The new possibilities for construction exact solutions of differential
equations. These questions are discussed and illustrated by many examples.
Section
: 12