超聲流和激波(英文版)

Ⅰ．Compressible Fluids
1．Qualitative differences between linear and nonlinear waves
A．General Equations of Flow．Thermodynamic Notions
2．The medium
3．Ideal gases, polytropic gases, and media with separable energy
4．Mathematical comments on ideal gases
5．Solids which do not satisfy Hooke’s law
6．Discrete media
7．Differential equations of motion
8．Conservation of energy
9．Enthalpy
10．Isentropic flow．Steady flow．Subsonic and supersonic flow
11．Acoustic approximation
12．Vector form of the flow equations
13．Conservation of circulation．Irrotational flow．Poten-tial
14．Bernoulli’s law
15．Limit speed and critical speed
B．Differential Equations for Specific Types of Flow
16．Steady flows
17．Non-steady flows
18．Lagrange’s equations of motion for one-dimensional and spherical flow
Appendix--Wave Motion in Shallow Water
19．Shallow water theory
Ⅱ．Mathematical Theory of Hyperbolic Flow Equations for Functions of Two Variables
20．Flow equations involving two functions of two variables..
21．Differential equations of second order type
22．Characteristic curves and characteristic equations
23．Characteristic equations for specific problems
24．The initial value problem．Domain of dependence.Range of influence
25．Propagation of discontinuities along characteristic lines..
26．Characteristic lines as separation lines between regions of different types
27．Characteristic initial values
28．Supplementary remarks about boundary data
29．Simple waves．Flow adjacent to a region of constant state
30．The hodograph transformation and its singularities.Limiting lines
31．Systems of more than two differential equations Appendix
32．General remarks about differential equations for func-
tions of more than two independent variables.Char-acteristic surfaces
Ⅲ．One-Dimensional Flow
33．Problems of one-dimensional flow
A．Continuous Flow
34．Characteristics
35．Domain of dependence．Range of influence
36．More general initial data
37．Riemann invariants
38．Integration of the differential equations of isentropic flow
39．Remarks on the Lagrangian representation
B．Rarefaction and Compression Waves
40．Simple waves
41．Distortion of the wave form in a simple wave
42．Particle paths and cross-characteristics in a simple wave
43．Rarefaction waves
44．Escape speed．Complete and incomplete rarefaction waves
45．Centered rarefaction waves
46．Explicit formulas for centered rarefaction waves
47．Remark on simple waves in Lagrangian coordinates
48．Compression waves
Appendix to Part B
49．Position of the envelope and its cusp in a compression wave
C．Shacks
50．The shock as an irreversible process
51．Historical remarks on non-linear flow
52．Discontinuity surfaces
53．Basic model of discontinuous motion．Shock wave in a tube
……
Ⅳ.Isentropic Irrotational Steady Plane Flow
Ⅴ.Folw in Noxxies and Jets
Ⅵ.Folw in Three Dimensions
Bibligraphy
Index of Sybmols
Subjuct Inde