By V.K. Andreev, O.V. Kaptsov, Vladislav V. Pukhnachev, A.A. Rodionov
It used to be some time past that crew research of differential equations grew to become a robust software for learning nonlinear equations and boundary worth difficulties. This research used to be in particular fruitful in program to the fundamental equations of mechanics and physics as the invariance ideas are already curious about their derivation. it truly is not at all a accident that the equations of hydrodynamics served because the first item for utilising the hot rules and strategies of team research which have been built by means of 1. V. Ovsyannikov and his college. The authors rank themselves as disciples of the varsity. the current monograph offers almost always with group-theoretic type of the equations of hydrodynamics within the presence of planar and rotational symmetry and in addition with development of actual options and their actual interpretation. it really is worthy noting that the concept that of actual strategy to a differential equation isn't really outlined conscientiously; various authors comprehend it in numerous methods. the idea that of actual resolution expands besides the growth of arithmetic (solu tions in user-friendly features, in quadratures, and in particular features; suggestions within the kind of convergent sequence with successfully computable phrases; ideas whose looking out reduces to integrating usual differential equations; and so forth. ). We think about it justifiable to complement the set of actual strategies with rank one and rank in version and in part invariant ideas to the equations of hydrodynamics.
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Extra resources for Applications of Group-Theoretical Methods in Hydrodynamics
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Applications of Group-Theoretical Methods in Hydrodynamics by V.K. Andreev, O.V. Kaptsov, Vladislav V. Pukhnachev, A.A. Rodionov