Nonlinear Wave Processes in Acoustics

Erscheinungsjahr 2015
ISBN: 978-0-521-39080-4
Verlag: Cambridge University Press

Buch, Englisch, Band 9, 308 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 656 g

Reihe: Cambridge Texts in Applied Mathematics

The investigation of nonlinear phenomena in acoustics has a rich history stretching back to the mechanical physical sciences in the nineteenth century. The study of nonlinear phenomena, such as explosions and jet engines, prompted the sharp growth of interest in nonlinear acoustic phenomena. The authors consider models of different 'acoustic' media as well as equations and behaviour of finite-amplitude waves. Consideration is given to the effects of nonlinearity, dissipation, dispersion, and for two- and three-dimensional problems, reflection and diffraction upon the evolution and interaction of acoustic beams. This book will be of interest not only to specialists in acoustics, but also to a wide audience of mathematicians, physicists, and engineers working on nonlinear waves in various physical systems.

Autoren/Hrsg.

Naugolnykh, K.

Ostrovsky, L.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Naturwissenschaften Physik Mechanik Akustik, Schwingungsanalyse

Inhaltsverzeichnis

Preface; 1. Nonlinearity, dissipation and dispersion in acoustics; 2. Simple waves and shocks in acoustics; 3. Nonlinear geometrical acoustics; 4. Nonlinear sound beams; 5. Sound-sound interaction (nondispersive medium); 6. Nonlinear acoustic waves in dispersive media; 7. Self-action and stimulated scattering of sound; Conclusion; Subject index.