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Mathematics
The two types of conic flows of ideal gas continuously adjacent to a vacuum are considered.
In the first case flows that occur, as a result of the instantaneous removal of the conical surface which at an initial instant of time separates gas from vacuum are investigated These flows are constructed in the form of converging series. It is proved that the region of convergence this series coves the whole rarefaction. In the special functional space the solution was constructed in the form of converging series to instant of focusing a surface of weak discontinuity on the axis of symmetry inclusive. In the physical space in the neighbourhood of the axis of symmetry another flow adjacent to a region of the gas at rest was constructed.
In the second case evolution the twisted conic flows adjacent to a vacuum are investigated. Also to investigate flows when external mass forces act in. The solution, are constructed in the form of converging series to peak of cone inclusive. It is proved that free surface always moves into the gas and moves as particles in the field external mass forces.
The research is supported by the Russian Foundation for Basic Research, the project 04-01-00205.
Note. Abstracts are published in author's edition
Last update: 06-Jul-2012 (11:52:45)