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A new method for solving the Dirichlet problem for the longitudinal flow past a thin body of the rotating perfect fluid.

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We analyze the Dirichlet problem for the axisymmetric longitudinal-ideal fluid flow around a thin body of revolution. Obtain but necessary to solve the equation of motion of the fluid. Found it a fundamental solution. Dirichlet problem is reduced to an integral to equation of Fredholm 1 kind to be decided.

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