Blow up of solutions to the Zakharov system
by
Marisela Guzmàn Gòmez
University Autonomus Metropolitan-Mexico

In this talk I present a new result of blow up of solutions to the system

i\psit +\Delta\psi = n\psi,

ntt -\Delta n = \Delta(|\psi|2)

with negative hamiltonian. Thai is, if the initial condition (\psi₀, n₀, n_t0) has negative hamiltonian, there exists a finite time t₀ such that the unique solution to the Zakharov system satisfies that lim_{t --> t0}||Ñ\psi(t)||=\infty.

Date received: May 27, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # calh-97.