The Shock Development Problem

  • Demetrios Christodoulou

    ETH Zürich, Switzerland
The Shock Development Problem cover

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

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