Contents
Chapter 1. General distribution solutions 1
1. Something worse can happen 1
2. Background 6
3. Form of distribution solutions 9
4. Delta-shocks and singular shocks 19
5. Entropy inequalities 24
6. Symmetries 27
7. Symmetry groups and phase space coordinates 33
Chapter 2. Delta-shocks 44
1. The structural conditions 44
2. Definition of solutions 50
3. Delta-shocks and Lagrangian coordinates 54
4. Continuation of delta-shock solutions 59
5. Nonhyperbolic systems with delta-shock solutions 67
6. Strictly hyperbolic, linearly degenerate pairs 70
7. Additional examples 75
Chapter 3. Singular shocks 81
1. Origin and structure 81
2. Examples of systems admitting singular shocks 95
3. Viscous structure of singular shocks 100
4. Proofs of lemmas 3.4-3.7 109
5. Whence they came, where they went 122
6. An example 141
Bibliography 160
Previous Page Next Page