**44**, 3, pp. 551–559, 2019

**10.24425/aoa.2019.129270**

### Nonlinear Interaction of Modes in a Planar Flow of a Gas with Viscous and Thermal Attenuation

**Keywords**: nonlinear wave theory; nonlinear acoustics; coupling dynamic equations; Burgers equation; diffusion equation

**Full Text:**PDF

#### References

Askaryan G.A. (1966), Self-focusing of a light beam upon excitation of atoms and molecules of medium in a beam, JETP Letters, 4, 10, 270.

Chu B.-T., Kovasznay L.S.G. (1958), Nonlinear interactions in a viscous heat-conducting compressible gas, Journal of Fluid Mechanics, 3, 494–514.

Duck F.A, Baker A.C., Starrit H.C. (1998), Ultrasound in Medicine, London: Publishing Institute of Physics.

Hamilton M.F., Blackstock D.T. [Eds.] (1998), Nonlinear acoustics: theory and applications, Academic Press, New York.

Kaner V.V., Rudenko O.V., Khokhlov R.V. (1977), Theory of nonlinear oscillations in acoustic resonators, Soviet Physics Acoustics, 23, 432–437.

Leble S., Perelomova A. (2018), The dynamical projectors method: hydro and electrodynamics, CRC Press.

Makarov S., Ochmann M. (1996), Nonlinear and thermoviscous phenomena in acoustics, Part I, Acustica, 82, 4, 579–606.

Perelomova A. (2003), Heating caused by a nonperiodic ultrasound. Theory and calculations on pulse and stationary sources, Archives of Acoustics, 28, 2, 127–138.

Perelomova A. (2006), Development of linear projecting in studies of non-linear flow. Acoustic heating induced by non-periodic sound, Physics Letters A, 357, 42–47.

Perelomova A. (2015), The nonlinear effects of sound in a liquid with relaxation losses, Canadian Journal of Physics, 93, 11, 1391–1396.

Perelomova A. (2018), Magnetoacoustic heating in a quasi-isentropic magnetic gas, Physics of Plasmas, 25, 042116.

Pierce A. (2019), Acoustics. An introduction to its physical principles and applications, Springer International Publishing.

Rudenko O.V., Soluyan S.I. (1977), Theoretical foundations of nonlinear acoustics, Consultants Bureau, New York.

Ruderman M.S. (2013), Nonlinear damped standing slow waves in hot coronal magnetic loops, Astronomy and Astrophysics, 553 , A23.

Tikhonov A.N., Samarski A.A. (2011) Equations of Mathematical Physics, Dover Publications; Reprint edition, 800.

DOI: 10.24425/aoa.2019.129270

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