Accession Number:

AD0670588

Title:

ON THE EXISTENCE OF SOLUTIONS TO CERTAIN SHOCK-WAVE MODELS.

Personal Author(s):

Corporate Author:

AMERICAN SCIENCE AND ENGINEERING INC CAMBRIDGE MASS

Report Date:

1968-03-27

Abstract:

The differential equations of two models for the profile of a steady and plane shock wave in a gaseous medium are studied. The first model deals with the case of a neutral gas. It is shown that it possesses an infinity of solutions depending upon two arbitrary parameters. In the second model, the medium is a fully ionized hydrogen plasma. The only positive result obtained is that the topological nature of the relevant singular points in the differential equations allows for the existence of a solution. Whether a solution does exist and is unique is a difficult problem whose solution will require more work, both theoretical and numerical. Author

Descriptive Note:

Final rept. 14 Oct 66-15 Oct 67,

Pages:

0055

Communities Of Interest:

Contract Number:

F19628-67-C-0057

File Size:

0.00MB

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