Rotationally invariant hyperbolic waves

We use weakly nonlinear asymptotics to derive a canonical asymptotic equation for rotationally invariant hyperbolic waves. The equation can include weak dissipative, dispersive, or diffractive effects. We give applications to equations from magnetohydrodynamics, elasticity, and viscoelasticity.

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Bibliographic Details
Published in:Communications on pure and applied mathematics 1990-12, Vol.43 (8), p.1037-1053
Main Authors: Brio, M., Hunter, J. K.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Function theory, analysis
Mathematical methods in physics
Physics
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Summary:We use weakly nonlinear asymptotics to derive a canonical asymptotic equation for rotationally invariant hyperbolic waves. The equation can include weak dissipative, dispersive, or diffractive effects. We give applications to equations from magnetohydrodynamics, elasticity, and viscoelasticity.
ISSN:0010-3640
1097-0312
DOI:10.1002/cpa.3160430806