An Evans function approach to spectral stability of small-amplitude shock profiles
| dc.creator | Plaza, Ramon | |
| dc.creator | Zumbrun, Kevin | |
| dc.date | 2002-05-16 | |
| dc.date | 2002-06-02 | |
| dc.date.accessioned | 2026-07-07T04:48:33Z | |
| dc.date.available | 2026-07-07T04:48:33Z | |
| dc.description | We establish one-dimensional spectral stability of small amplitude viscous and relaxation shock profiles using Evans function techniques to perform a series of reductions and normal forms to reduce to the case of the scalar Burgers equation. In multidimensions, the canonical behavior is described, rather by a 2x2 viscous conservation law; this case will be treated in a companion paper by similar techniques. | |
| dc.description | 47 pp Minor typos corrected from original version of May 15 | |
| dc.identifier | https://arxiv.org/abs/math/0205180 | |
| dc.identifier | http://arxiv.org/abs/math/0205180 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64088 | |
| dc.subject | Analysis of PDEs | |
| dc.title | An Evans function approach to spectral stability of small-amplitude shock profiles | |
| dc.type | text |