References
1. W. Band, Introduction to Mathematical Physics (Van Nostrand Company, Inc., Princeton, New
Jersey, 1959)
2. S. Temkin, Elements of Acoustics, (John Wiley & Sons, New York, 1981), Section 3.7
3. J.D. Anderson, Modern Compressible Flow with Historical Perspective, 3rd edn. (McGrawHill, New York, 2003) Chapter 7
4. L.D. Landau, E.M. Lifshitz, Fluid Mechanics (Pergamon Press, London, 1966), p. 366
5. N. Curle, H.J. Davies, Modern Fluid Dynamics, vol 2 (Van Nostrand Reinhold Company,
London, 1971), p. 68
6. O. V. Rudenko, S. I. Soluyan, Theoretical Foundations of Nonlinear Acoustics, (Consultants
Bureau, New York, A Division of Plenum Publishing Company, 1977), Chapter 1
7. D. Mihalas, B. Weibel-Mihalas, Foundations of Radiation Hydrodynamics (Dover Publications, Inc., New York, 1999), p. 227
8. W. Band, G.E. Duvall, Physical nature of shock propagation. Am. J. Physiol. 29, 780–785
(1961)
9. W.C. Griffith, W. Bleakney, Shock waves in gases. Am. J. Physiol. 22, 597 (1954)
10. N. Curle, H.J. Davies, Modern Fluid Dynamics, vol 2 (Van Nostrand Reinhold Company,
London, 1971) Section 3.3.2
11. L.D. Landau, E.M. Lifshitz, Fluid Mechanics (Pergamon Press, London, 1966) Chapter 9
12. H.W. Liepmann, A. Roshko, Elements of Gasdynamics (Dover Publications Inc., Mineola,
New York, 1956) Section 3.9
13. G.B. Whitham, Linear and Nonlinear Waves (John Wiley & Sons, Inc., New York, 1999)
14. R. Courant, K.O. Friedrichs, Supersonic Flow and Shock Waves (Interscience Publishers, Inc.,
New York, 1956)
15. A.R. Paterson, A First Course in Fluid Dynamics (Cambridge University Press, London, 1983)
Chapter 14
16. J.D. Logan, Applied Mathematics, 2nd edn. (Wiley & Sons, Inc., New York, 1977) Chapter 6
17. A.J. Chorin, J.E. Marsden, A Mathematical Introduction to Fluid Mechanics (Springer-Verlag,
New York, 1979) Chapter 3
18. F. H. Harlow, LA-2412 Report (Los Alamos Scientific Laboratory of the University of
California, Los Alamos, New Mexico, November 1960), Chapter 3
19. M. A. Saad, Compressible Fluid Flow, (Prentice-Hall, Inc., Englewood Cliffs, New Jersey
1985), Chapter 9
20. J. Billingham, A.C. King, Wave Motion (Cambridge University Press, New York, 2000)
Chapter 7
21. O. Regev, O.M. Umurhan, P.A. Yecko, Modern Fluid Dynamics for Physics and Astrophysics
(Springer, New York, 2016) Chapter 6
22. J.H.S. Lee, The Gas Dynamics of Explosions (Cambridge University Press, New York, 2016)
Chapter 1
23. W.A. Strauss, Partial Differential Equations: An Introduction (John Wiley & Sons, Inc.,
New York, 1992) Chapter 14
24. P.J. Olver, Introduction to Partial Differential Equations (Springer, 2014)
25. S. Salsa, Partial Differential Equations in Action: From Modelling to Theory (Springer, Milan,
Italy, 2008) Chapter 4
88
2 Waves of Finite Amplitude
1. W. Band, Introduction to Mathematical Physics (Van Nostrand Company, Inc., Princeton, New
Jersey, 1959)
2. S. Temkin, Elements of Acoustics, (John Wiley & Sons, New York, 1981), Section 3.7
3. J.D. Anderson, Modern Compressible Flow with Historical Perspective, 3rd edn. (McGrawHill, New York, 2003) Chapter 7
4. L.D. Landau, E.M. Lifshitz, Fluid Mechanics (Pergamon Press, London, 1966), p. 366
5. N. Curle, H.J. Davies, Modern Fluid Dynamics, vol 2 (Van Nostrand Reinhold Company,
London, 1971), p. 68
6. O. V. Rudenko, S. I. Soluyan, Theoretical Foundations of Nonlinear Acoustics, (Consultants
Bureau, New York, A Division of Plenum Publishing Company, 1977), Chapter 1
7. D. Mihalas, B. Weibel-Mihalas, Foundations of Radiation Hydrodynamics (Dover Publications, Inc., New York, 1999), p. 227
8. W. Band, G.E. Duvall, Physical nature of shock propagation. Am. J. Physiol. 29, 780–785
(1961)
9. W.C. Griffith, W. Bleakney, Shock waves in gases. Am. J. Physiol. 22, 597 (1954)
10. N. Curle, H.J. Davies, Modern Fluid Dynamics, vol 2 (Van Nostrand Reinhold Company,
London, 1971) Section 3.3.2
11. L.D. Landau, E.M. Lifshitz, Fluid Mechanics (Pergamon Press, London, 1966) Chapter 9
12. H.W. Liepmann, A. Roshko, Elements of Gasdynamics (Dover Publications Inc., Mineola,
New York, 1956) Section 3.9
13. G.B. Whitham, Linear and Nonlinear Waves (John Wiley & Sons, Inc., New York, 1999)
14. R. Courant, K.O. Friedrichs, Supersonic Flow and Shock Waves (Interscience Publishers, Inc.,
New York, 1956)
15. A.R. Paterson, A First Course in Fluid Dynamics (Cambridge University Press, London, 1983)
Chapter 14
16. J.D. Logan, Applied Mathematics, 2nd edn. (Wiley & Sons, Inc., New York, 1977) Chapter 6
17. A.J. Chorin, J.E. Marsden, A Mathematical Introduction to Fluid Mechanics (Springer-Verlag,
New York, 1979) Chapter 3
18. F. H. Harlow, LA-2412 Report (Los Alamos Scientific Laboratory of the University of
California, Los Alamos, New Mexico, November 1960), Chapter 3
19. M. A. Saad, Compressible Fluid Flow, (Prentice-Hall, Inc., Englewood Cliffs, New Jersey
1985), Chapter 9
20. J. Billingham, A.C. King, Wave Motion (Cambridge University Press, New York, 2000)
Chapter 7
21. O. Regev, O.M. Umurhan, P.A. Yecko, Modern Fluid Dynamics for Physics and Astrophysics
(Springer, New York, 2016) Chapter 6
22. J.H.S. Lee, The Gas Dynamics of Explosions (Cambridge University Press, New York, 2016)
Chapter 1
23. W.A. Strauss, Partial Differential Equations: An Introduction (John Wiley & Sons, Inc.,
New York, 1992) Chapter 14
24. P.J. Olver, Introduction to Partial Differential Equations (Springer, 2014)
25. S. Salsa, Partial Differential Equations in Action: From Modelling to Theory (Springer, Milan,
Italy, 2008) Chapter 4
88
2 Waves of Finite Amplitude