Hunter, John (1988) Caustics of nonlinear waves. Accademia Peloritana dei Pericolanti, Classe di Scienze FF. MM. NN., LXVI. pp. 179-198.
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The behavior at caustics is analyzed for weakly nonlinear wave solutions of hyperbolic equations. It is shown that short waves, weak enough to be governed by linear or weakly nonlinear geometrical optics away from caustics, are giverned by linear theoy at and near caustics. For somewhat stronger waves, linear theory does not suffice at caustics, so a weakly nonlinear theory of them at and near a caustics is developed. It involves an equation derived by Guiraud, Hayes and Seebass for gas dynamics.
|Subjects:||M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Fisiche, Matematiche e Naturali > 1988|
M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Giuridiche, Economiche e Politiche > 1988
M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Lettere, Filosofia e belle Arti > 1988
|Depositing User:||Dr A F|
|Date Deposited:||05 Oct 2012 12:54|
|Last Modified:||05 Oct 2012 12:54|
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