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(8 Oct 2012) Key: citeulike:11421112
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Some approach to the solution of boundary value problems for finding functions, which are analytical in a wedge, is proposed. If the ratio of the angle at the wedge vertex to a number π is rational, then the boundary value problem is reduced to the finite system of ordinary differential equations. Such approach, applied the problem of inertial motion of a liquid wedge, made it possible to sum series with small denominators arising in the problem and find four exact examples of self-similar flows with a free boundary.
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