Relativistic Fluids and Nonlinear Wave Equations. The Equations of Variationpp. 23–37
2
The Basic Geometric Constructionpp. 39–52
3
The Acoustical Structure Equationspp. 53–83
4
The Acoustical Curvaturepp. 85–98
5
The Fundamental Energy Estimatepp. 99–137
6
Construction of the Commutation Vectorfieldspp. 139–168
7
Outline of the Derived Estimates of Each Orderpp. 169–201
8
Regularization of the Propagation Equation for dtrχ. Estimates for the Top Order Angular Derivatives of χpp. 203–273
9
Regularization of the Propagation Equation for Δμ. Estimates for the Top Order Spatial Derivatives of μpp. 275–328
10
Control of the Angular Derivatives of the First Derivatives of the xi. Assumptions and Estimates in Regard to χpp. 329–472
11
Control of the Spatial Derivatives of the First Derivatives of the xi. Assumptions and Estimates in Regard to μpp. 473–664
12
Recovery of the Acoustical Assumptions. Estimates for Up to the Next to the Top Order Angular Derivatives of χ and Spatial Derivatives of μpp. 665–740
13
The Error Estimates Involving the Top Order Spatial Derivatives of the Acoustical Entities. The Energy Estimates. Recovery of the Bootstrap Assumptions. Statement and Proof of the Main Theorem: Existence up to Shock Formationpp. 741–892
14
Sufficient Conditions on the Initial Data for the Formation of a Shock in the Evolutionpp. 893–926
15
The Nature of the Singular Hypersurface. The Invariant Curves. The Trichotomy Theorem. The Structure of the Boundary of the Domain of the Maximal Solutionpp. 927–975
