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By V.K. Andreev,O.V. Kaptsov,Vladislav V. Pukhnachev,A.A. Rodionov

It was once some time past that crew research of differential equations turned a strong device for learning nonlinear equations and boundary worth difficulties. This research was once specially fruitful in program to the elemental equations of mechanics and physics as the invariance rules are already all in favour of their derivation. it really is on no account a twist of fate that the equations of hydrodynamics served because the first item for utilizing the hot principles and strategies of team research which have been constructed by means of 1. V. Ovsyannikov and his institution. The authors rank themselves as disciples of the college. the current monograph offers in most cases with group-theoretic type of the equations of hydrodynamics within the presence of planar and rotational symmetry and likewise with building of actual ideas and their actual interpretation. it's worthy noting that the idea that of actual strategy to a differential equation isn't really outlined conscientiously; varied authors know it in several methods. the idea that of tangible resolution expands besides the growth of arithmetic (solu­ tions in hassle-free services, in quadratures, and in designated services; strategies within the type of convergent sequence with successfully computable phrases; recommendations whose looking out reduces to integrating traditional differential equations; and so forth. ). We think about it justifiable to counterpoint the set of actual suggestions with rank one and rank in­ version and in part invariant ideas to the equations of hydrodynamics.

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Applications of Group-Theoretical Methods in Hydrodynamics (Mathematics and Its Applications) by V.K. Andreev,O.V. Kaptsov,Vladislav V. Pukhnachev,A.A. Rodionov

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