Electron. J. Diff. Equ., Vol. 2015 (2015), No. 259, pp. 1-7.

Exact solutions of a nonconservative system in elastodynamics

Kayyunnapara Thomas Joseph

In this article we find an explicit formula for solutions of a nonconservative system when the initial data lies in the level set of one of the Riemann invariants. Also for nonconservative shock waves in the sense of Volpert we derive an explicit formula for the viscous shock profile.

Submitted September 4, 2015. Published October 7, 2015.
Math Subject Classifications: 35A20, 35L45, 35B25.
Key Words: Elastodynamics; viscous shocks.

Show me the PDF file (207 KB), TEX file, and other files for this article.

Kayyunapara Thomas Joseph
Centre for applicable Mathematics
Tata Institute of Fundamental Research
Sharadanagar,Post Bag no. 6503, GKVK Post Office
Bangalore 560065, India
email: ktj@math.tifrbng.res.in

Return to the EJDE web page