Wave Dynamics of Generalized Continua

This book examines propagation and stability of linear and nonlinear waves in continuous media with complex structure such as solid with cavities, composites with inclusions, piezo-semiconductors and propagation of a laser beam through a two-level medium.

This monograph is devoted to problems of propagation and stability of linear and nonlinear waves in continuous media with complex structure. It considers the different media, such as solid with cavities, preliminary deformed disperse medium, solid with porosity filled by the electrically conductive and non-conductive liquid, magnetoelastic, piezo-semiconductors, crystals with dislocations, composites with inclusions, an electrically conductive asymmetrical liquid, a mixture of gas with a drop liquid. The book also considers the propagation of a laser beam through a two-level medium.

The presented results are based on methods of evolution and modulation equations that were developed by the authors. The book is intended for scientific and technical researchers, students and post-graduate students specializing in mechanics of continuous media, physical acoustics, and physics of the solid state.

Covers many material classes and media for wave propagation Discusses the wave propagation and stability in continuous media with complex structure Presents new methods of evolution and modulation equations Includes supplementary material: sn.pub/extras

Inhalt
From the Contents: Waves in a viscous solid with cavities.- Waves in viscous, dispersive, nonlinear, preliminary deformable layer with a free surface.- Waves in solids with porosity filled by an electrically non-conducting liquid (Biot medium).- Waves in a solid with porosity filled by electrically conducting liquid located in a constant electric field.- Piezoelastic waves.