On the steady-state structure of shock waves in elastic media and dielectrics |
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Authors: | A?G?Kulikovski? A?P?Chuga?nova |
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Institution: | 1.Steklov Institute of Mathematics,Russian Academy of Sciences,Moscow,Russia |
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Abstract: | A simplified system of equations describing small-amplitude nonlinear quasi-transverse waves in an elastic weakly anisotropic
medium with complicated dissipation and dispersion is considered. A simplified system of equations derived for describing
the propagation and evolution of one-dimensional weakly nonlinear electromagnetic waves in a weakly anisotropic dielectric
is found to be of the same type as the system of equations for quasi-transverse waves in an elastic medium. The steady-state
structure of small-amplitude quasi-transverse discontinuities and a large number of admissible discontinuity types is studied
using this system of equations. Viscous dissipation is traditionally assumed to be described in terms of the next differentiation
order as compared to those constituting the hyperbolic system describing long waves, while the terms responsible for dispersion
have an even higher differentiation order. |
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Keywords: | |
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