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Chapter 3 Existence and interaction of acceleration wave with a characteristic shock in transient pinched plasma 3 . 1
| Content Provider | Semantic Scholar |
|---|---|
| Copyright Year | 2014 |
| Abstract | This chapter deals with the problem of acceleration wave interacting with a characteristic shock. For a characteristic shock the shock surface coincides with a characteristic surface and its velocity with an eigenvalue of the system, both ahead and behind the shock. The corresponding eigenvalue may be single or have multiplicity m > 1. In the case where the eigen value is single, the characteristic shock exists provided the eigenvalue satisfies the relation of exceptionality [24, 50]; according to which, the necessary and sufficient conditions for the existence of a characteristic shock (i.e. the shock traveling along the characteristic line with velocity λ) is ∇λ.R = 0. Here, λ is the eigenvalue, R is the corresponding right eigenvector of the system and ∇ is the gradient with respect to the field vector. It may be noted that the shock corresponding to multiple eigenvalue i.e. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://shodhganga.inflibnet.ac.in:8080/jspui/bitstream/10603/31918/9/09_chapter%203.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
