Stability of noncharacteristic boundary layers in the standing shock limit
| dc.creator | Zumbrun, Kevin | |
| dc.date | 2008-09-15 | |
| dc.date.accessioned | 2026-07-07T10:02:54Z | |
| dc.date.available | 2026-07-07T10:02:54Z | |
| dc.description | We investigate one- and multi-dimensional stability of noncharacteristic boundary layers in the limit approaching a standing planar shock wave $\bar U(x_1)$, $x_1>0$, obtaining necessary conditions of (i) weak stability of the limiting shock, (ii) weak stability of the constant layer $u\equiv U_-:=\lim_{z\to -\infty} \bar U(z)$, and (iii) nonnegativity of a modified Lopatinski determinant similar to that of the inviscid shock case. For Lax 1-shocks, we obtain equally simple sufficient conditions; for $p$-shocks, $p>1$, the situation appears to be more complicated. Using these results, we determine stability of certain isentropic and full gas dynamical boundary-layers, generalizing earlier work of Serre--Zumbrun and Costanzino--Humphreys--Nguyen--Zumbrun. | |
| dc.description | 34 pp | |
| dc.identifier | https://arxiv.org/abs/0809.2584 | |
| dc.identifier | http://arxiv.org/abs/0809.2584 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/169136 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35B35 | |
| dc.title | Stability of noncharacteristic boundary layers in the standing shock limit | |
| dc.type | text |