Summary
We describe geometrical optics theories for nonlinear waves and derive a theory for hyperbolic waves with large-amplitude, rapidly varying initial data. We consider initial data which is either compactly supported or periodic in a phase variable. We also analyze the decay of periodic solutions of hyperbolic conservation laws and the resonant interaction of weakly nonlinear sawtooth waves.
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© 1989 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig
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Hunter, J.K. (1989). Strongly Nonlinear Hyperbolic Waves. In: Ballmann, J., Jeltsch, R. (eds) Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications. Notes on Numerical Fluid Mechanics, vol 24. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-87869-4_27
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DOI: https://doi.org/10.1007/978-3-322-87869-4_27
Publisher Name: Vieweg+Teubner Verlag
Print ISBN: 978-3-528-08098-3
Online ISBN: 978-3-322-87869-4
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