Continuous conjugation of special nonisentropic one-dimensional gas motions

The exact partially invariant solution of equations of motion of a compressible fluid describing the collapse of particles to a point and an instantaneous source from the point in a one-dimensional nonisentropic motion is cut off by the characteristics and glued into a continuous solution of a one-d...

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Bibliographic Details
Published in:Proceedings of the Steklov Institute of Mathematics 2008-07, Vol.261 (Suppl 1), p.77-86
Main Authors: Garifullin, A. R., Khabirov, S. V.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:The exact partially invariant solution of equations of motion of a compressible fluid describing the collapse of particles to a point and an instantaneous source from the point in a one-dimensional nonisentropic motion is cut off by the characteristics and glued into a continuous solution of a one-dimensional submodel in a finite domain. The possibility of a continuous periodic nonisentropic motion of a compressible fluid in a bounded domain under the action of a piston is shown.
ISSN:0081-5438
1531-8605
DOI:10.1134/S0081543808050076