Group Foliation of Euler Equations in Nonstationary Rotationally Symmetrical Case
نویسنده
چکیده
Euler equations for rotationally symmetrical motions of ideal fluid are considered. Basis of differential invariants for infinite-dimensional part of admitted group is calculated. The basis is used for construction of group foliation of Euler equations. Both automorphic and resolving systems are completed to involution. The resolving part of group foliation inherits finite-dimensional part of group, admitted by Euler equations. It allows us to construct invariant and partially invariant solutions of resolving system. The original functions are restored then by means of integration of automorphic system. Example of such construction is provided.
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