Download e-book for iPad: Applications of Group-Theoretical Methods in Hydrodynamics by V.K. Andreev,O.V. Kaptsov,Vladislav V. Pukhnachev,A.A.

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

It used to be in the past that crew research of differential equations turned a strong software for learning nonlinear equations and boundary price difficulties. This research was once specially fruitful in program to the elemental equations of mechanics and physics as the invariance rules are already enthusiastic about their derivation. it's certainly not a accident that the equations of hydrodynamics served because the first item for utilizing the hot principles and techniques of crew research that have been constructed by means of 1. V. Ovsyannikov and his university. The authors rank themselves as disciples of the college. the current monograph bargains normally with group-theoretic class of the equations of hydrodynamics within the presence of planar and rotational symmetry and in addition with development of tangible strategies and their actual interpretation. it really is worthy noting that the idea that of tangible technique to a differential equation isn't really outlined carefully; assorted authors realize it in numerous methods. the idea that of actual resolution expands in addition to the growth of arithmetic (solu­ tions in basic services, in quadratures, and in distinctive features; ideas within the type of convergent sequence with successfully computable phrases; ideas whose looking reduces to integrating usual differential equations; and so on. ). We give some thought to it justifiable to complement the set of actual suggestions with rank one and rank in­ variation 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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