Stability of viscous shock profiles for dissipative symmetric hyperbolic-parabolic systems
| dc.creator | Mascia, Corrado | |
| dc.creator | Zumbrun, Kevin | |
| dc.date | 2001-08-03 | |
| dc.date.accessioned | 2026-07-07T04:42:51Z | |
| dc.date.available | 2026-07-07T04:42:51Z | |
| dc.description | Combining pointwise Green's function bounds obtained in a companion paper [MZ.2] with earlier, spectral stability results obtained in [HuZ], we establish nonlinear orbital stability of small amplitude viscous shock profiles for the class of dissipative symmetric hyperbolic-parabolic systems identified by Kawashima [Kaw], notably including compressible Navier--Stokes equations and the equations of magnetohydrodynamics, obtaining sharp rates of decay in $L^p$ with respect to small $L^1\cap H^3$ perturbations, $2\le p\le \infty$. Our analysis follows the approach introduced in [MZ.1] to treat stability of relaxation profiles. | |
| dc.identifier | https://arxiv.org/abs/math/0108024 | |
| dc.identifier | http://arxiv.org/abs/math/0108024 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61964 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Mathematical Physics | |
| dc.title | Stability of viscous shock profiles for dissipative symmetric hyperbolic-parabolic systems | |
| dc.type | text |