The Shock Development Problem
Demetrios Christodoulou
ETH Zürich, Switzerland
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FrontmatterDownload pp. i–v | |
ContentsDownload pp. vii–ix | |
AcknowledgmentsDownload p. xi | |
PrologueDownload pp. 1–41 | |
1 | Fluid mechanics and the shock development problempp. 43–100 |
2 | Geometric constructionpp. 101–127 |
3 | Acoustical structure equationspp. 129–164 |
4 | The problem of the free boundarypp. 165–198 |
5 | Initial data and derived datapp. 199–227 |
6 | Variation fieldspp. 229–265 |
7 | Multiplier fieldpp. 267–296 |
8 | Commutation fieldspp. 297–318 |
9 | Power series approximation methodpp. 319–371 |
10 | Top-order acoustical estimates in the case pp. 373–512 |
11 | Outline of top-order acoustical estimates for more than 2 spatial dimensionspp. 513–541 |
12 | Top-order estimates for transformation functions and next-to-top-order acoustical estimatespp. 543–740 |
13 | Top-order energy estimatespp. 741–790 |
14 | Lower-order estimates, recovery of the bootstrap assumptions, and completion of the argumentpp. 791–913 |
Bibliographypp. 915–916 | |
Indexpp. 917–920 |