Article
Ufa Mathematical Journal
Volume 4, Number 4, pp. 116-126
Collapse or instant source of gas on straight line
Makarevich E.V.
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In the work a partially invariant solution of the rank 2 defect 0 on four-dimensional subalgebra is constructed. The motion of allocated volume of gas is described. The motion of sonic surface is constructed, where the velocity of particles is equal to sound velocity. The motion of the sonic characteristics and sonic conoid is described. The solution specifies gas motion from the whole space towards the straight line for negative time (collapse) and from the line to the whole space for positive time (instant source). The subsonic motion occulies the whole space for infinitely large absolute value of time. The sonic surface moves from infinitely distant points towards the straight line. It is shown, that the sonic characteristics and points of sonic conoid move towards the sonic surface.