- 93-335 Bona J., Promislow K., Wayne C. E.
- On the Asymptotic Behavior of Solutions to Nonlinear, Dispersive,
Dissipative Wave Equations
Dec 20, 93
(auto. generated ps),
of related papers
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.