ON THE EXISTENCE OF SOLUTIONS TO CERTAIN SHOCK-WAVE MODELS.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 27, 1968
- Accession Number
- AD0670588
Entities
People
- Yvain M. Treve