Abstract
The free boundary problem for the one-dimensional viscous gas equations is investigated. A solution of this problem describes a pumping out of a compressible fluid which is in contact with a vacuum. The question of a degeneration of a domain of unknowns in a finite time and the existence of a solution in a degenerate domain are studied in this paper.
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On and after March 20, 1996, address: Dr. S. Belov, 16, Bruce Road, Fern Hill, 2519, Wollongong, N.S.W., Australia.
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Belov, S.Y. On a final solution to a free boundary problem for the viscous gas equations. Japan J. Indust. Appl. Math. 13, 465–485 (1996). https://doi.org/10.1007/BF03167258
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DOI: https://doi.org/10.1007/BF03167258