Abstract
A boundary value problem devoted to the inertialess axisymmetric flow of a perfectly rigid plastic incompressible material in the gap between two approaching coaxial cones is asymptotically analyzed. The ratio of the distance between the conical surfaces to the length of the generatrix is considered as a small geometric parameter. The coefficients at several leading terms in the expansions of velocities and stresses are found analytically using the method of asymptotic integration. The subdomains where an asymptotic behavior is not observed are determined.
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