Stability of Strong Detonation Waves and Rates of Convergence
| dc.contributor.author | Li, Tong | |
| dc.date.accessioned | 2019-03-25T19:23:08Z | |
| dc.date.available | 2019-03-25T19:23:08Z | |
| dc.date.issued | 1998-03-18 | |
| dc.description.abstract | In this article, we prove stability of strong detonation waves and find their rate of convergence for a combustion model. Our results read as follows: I) There exists a global solution that converges exponentially in time to a strong detonation wave, provided that the initial data is a small perturbation of a strong detonation wave that decays exponentially in |x|. II) When the initial perturbation decays algebraically in |x|, the solution converges algebraically in time. That is, the perturbation decays in t as `fast' as the initial perturbation decays in |x|. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 17 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Li, T. (1998). Stability of strong detonation waves and rates of convergence. <i>Electronic Journal of Differential Equations, 1998</i>(09), pp. 1-17. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/7937 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 1998, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Strong detonation | |
| dc.subject | Shock wave | |
| dc.subject | Traveling wave | |
| dc.subject | Asymptotic behavior | |
| dc.subject | Weighted energy estimate | |
| dc.title | Stability of Strong Detonation Waves and Rates of Convergence | en_US |
| dc.type | Article |