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Ray Methods for Nonlinear Waves in Fluids and Plasmas [Pehme köide]

(Universita di Catania, Italy), (University of California), ,
Teised raamatud teemal:
Ray Methods for Nonlinear Waves in Fluids and PlasmasSuurem pilt
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9780367449940.html
Märksõnad:
Presents in a systematic and unified manner the ray method, in its various forms, for studying nonlinear wave propagation in situations of physical interest, essentially fluid dynamics and plasma physics.

This book presents in a systematic and unified manner the ray method (in its various forms) for studying nonlinear wave propagation in situations of physical interest (essentially fluid dynamics and plasma physics). It is helpful for an advanced graduate course on nonlinear waves.
Introduction 1(2)
Chapter 1 Physical Framework
3(15)
1 Introductory concepts
3(5)
2 Irreversible thermodynamics
8(2)
3 The equations of magnetofluid dynamics
10(2)
4 The plasma model
12(6)
Chapter 2 Introductory Concepts For Wave Motions
18(26)
1 The kinematic wave equation and the shock-fitting
19(10)
2 Basic properties of asymptotic expansions
29(7)
3 The perturbation-reduction method
36(8)
Chapter 3 Ray Methods For Linear Waves
44(13)
1 Phase and group velocity of a wave train
45(4)
2 Two-timing methods
49(8)
Chapter 4 Ray Methods For Nonlinear Hyperbolic Waves
57(11)
1 Asymptotic waves for quasilinear systems
58(4)
2 Acoustic waves in a gravitational atmosphere
62(6)
Chapter 5 Ray Method For The Propagation Of Discontinuities
68(10)
1 General formalism
69(2)
2 The evolution of weak discontinuities
71(3)
3 Characteristic shocks
74(1)
4 Intermediate discontinuities
75(3)
Chapter 6 Generalized Wavefront Expansion For Weak Shocks
78(11)
1 Derivation of the basic equations
79(4)
2 Geometrical interpretation and applications to acoustic shocks in a constant state
83(2)
3 Relationship with weakly nonlinear geometrical optics
85(4)
Chapter 7 Small Time Analysis And Shock Stability
89(15)
1 One dimensional analysis
90(4)
2 Multidimensional case
94(3)
3 Propagation into a constant state and definition of corrugation stability
97(2)
4 Application to gasdynamics
99(5)
Chapter 8 Ray Methods For Nonlinear Dispersive Waves
104(28)
1 Perturbation-reduction methods in several dimensions: derivation of the generalized Kdv or Burgers equations
104(5)
2 Solutions of the generalized KdV equation
109(1)
3 Applications to plasmas
110(3)
4 Derivation of the generalized KP equation: application to plasmas
113(4)
5 Derivation of the generalized nonlinear Schrodinger equation
117(6)
6 Derivation of the KP equation for magnetosonic waves
123(9)
Chapter 9 Ray Methods For Nonlinear Dissipative Waves
132(9)
1 The generalized Burgers equation
132(1)
2 Acoustic waves in a thermoviscous fluid
133(3)
3 Two-dimensional Burgers equation
136(1)
4 Collisional plasma
137(4)
Chapter 10 Interaction Of Dispersive Waves
141(39)
1 The tri-resonance condition
141(5)
2 Quadratically nonlinear interaction of dispersive waves
146(10)
3 A long wave equation
156(5)
4 Internal waves
161(10)
5 Passage through resonance
171(9)
Chapter 11 Interaction Of Hyperbolic Waves
180(49)
1 The tri-resonance condition for scale invariant wave motions
180(6)
2 Resonant interactions of hyperbolic waves in one space dimension
186(6)
3 The tri-resonance condition for hyperbolic waves
192(5)
4 Resonant interaction of hyperbolic waves in several space dimensions
197(3)
5 Gas dynamics
200(14)
6 Elasticity
214(15)
Appendix A1 229(6)
Appendix A2 235(1)
Appendix A3 236(2)
Appendix A4 238(1)
Appendix A5 239(2)
Appendix A6 241(1)
Appendix A7 242(3)
Subject Index 245
Anile, Marcelo; Pantano, P; Russo, G; Hunter, J