Abstract
The aim of this paper is to investigate the stability of one-dimensional boundary layers of parabolic systems as the viscosity goes to 0 in the noncharacteristic case and, more precisely, to prove that spectral stability implies linear and nonlinear stability of approximate solutions. In particular, we replace the smallness condition obtained by the energy method [10, 13] by a weaker spectral condition.
| Original language | English |
|---|---|
| Pages (from-to) | 1343-1385 |
| Number of pages | 43 |
| Journal | Communications on Pure and Applied Mathematics |
| Volume | 54 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - Nov 2001 |
| Externally published | Yes |