search for books and compare prices
Tables of Contents for The Two-Dimensional Riemann Problem in Gas Dynamics
Chapter/Section Title
Page #
Page Count
Preface
vii
Preliminaries
1
10
Geometry of characteristics and discontinuities
1
6
Riemann solution geometry of conservation laws
7
4
Scalar conservation laws
11
35
One-dimensional scalar conservation laws
11
5
The generalized characteristic analysis method
16
13
The four-wave Riemann problem
29
12
Mach-reflection-like configuration of solutions
41
5
Zero-pressure gas dynamics
46
111
Characteristics and bounded discontinuities
49
6
Simultaneous occurrence of two blowup mechanisms
55
3
Delta-shocks, generalized Rankine-Hugoniot relations and entropy conditions
58
7
The one-dimensional Riemann problem
65
8
The two-dimensional Riemann problem
73
46
Riemann solutions as the limits of solutions to self similar viscous systems
119
38
Pressure-gradient equations of the Euler system
157
57
The one-dimensional Riemann problem
159
5
Characteristics, discontinuities, elementary waves and classifications
164
15
The existence of solutions to a transonic pressure-gradient equation in an elliptic region with degenerate datum
179
9
The two-dimensional Riemann problem and numerical solutions
188
26
The compressible Euler equations
214
75
The concepts of characteristics and discontinuities
215
4
Planar elementary waves and classification
219
15
PSI approach to irrotational isentropic flow
234
3
Analysis of Riemann solutions and numerical results
237
39
Two-dimensional Riemann solutions with axisymmetry
276
13
References
289
10
Author index
299