93-335 Bona J., Promislow K., Wayne C. E.

On the Asymptotic Behavior of Solutions to Nonlinear, Dispersive, Dissipative Wave Equations (29K, AMSTEX) Dec 20, 93

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Abstract. The renormalization techniques for determining the long-time asymptotics of nonlinear parabolic equations pioneered by Bricmont, Kupiainen and Lin are shown to be effective in analyzing nonlinear wave equations featuring both dissipation and dispersion. These methods allow us to recover recent results of Dix in a way which is both transparent and has interesting prospects for generalization.

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