Документ взят из кэша поисковой машины. Адрес
оригинального документа
: http://acs366.phys.msu.su/isna16/Abstracts/EvolutionofthePeriodicPerturbationsinAbsolutelyUnstableMedia.htm
Дата изменения: Wed Jul 10 21:27:37 2002 Дата индексирования: Mon Oct 1 21:24:25 2012 Кодировка: |
Abstract |
Evolution of the Periodic Perturbations
in Absolutely Unstable Media
A.V.Aksenov (Faculty of Mechanics and
Mathematics, Moscow State University, Moscow, Russia)
e-mail:
aksenov@mech.math.msu.su
The
system of the equations for describing small long wavelength perturbations in
the absolutely unstable media is
considered. Symmetries and invariant solutions
of this equations are presented. It was shown that the periodic
solutions of this equations are the fundamental solutions of the
Euler--Poisson--Darboux equation. The invariant and different fundamental
solutions of the Euler--Poisson--Darboux
equation are found. Final studies of the evolution of the periodic
perturbations in absolutely unstable media are investigated.
Section
: 12