Reduction and exact solutions of the Navier-Stokes equations
W I Fushchich; W M Shtelen; S L Slavutsky; W I Fushchich; Inst. of Math., Kiev, Ukrainian SSR, USSR; W M Shtelen; Inst. of Math., Kiev, Ukrainian SSR, USSR; S L Slavutsky; Inst. of Math., Kiev, Ukrainian SSR, USSR
Журнал:
Journal of Physics A: Mathematical and General
Дата:
1991-03-07
Аннотация:
The authors construct a complete set of G(1,3)-inequivalent ansatze of codimension 1 for the Navier-Stokes (NS) field which reduce the NS equations to systems of ordinary differential equations (ODE). Having solved these ODEs they thereby obtain solutions of the NS equations. Formulae of group multiplication of solutions are given. Several non-Lie ansatze are discussed.
382.6Кб