On global existence of localized solutions of some nonlinear lattices

Brasil); G. Perla Menzala (National Laboratory of Scientific Computation; Portugal); V. V. Konotop (University of Lisbon

arxiv: cond-mat/0002244 · v1 · submitted 2000-02-16 · ❄️ cond-mat.dis-nn · nlin.PS

On global existence of localized solutions of some nonlinear lattices

G. Perla Menzala (National Laboratory of Scientific Computation , Brasil) , V. V. Konotop (University of Lisbon , Portugal) This is my paper

classification ❄️ cond-mat.dis-nn nlin.PS

keywords existencegloballatticelatticesnonlinearsolutionssomebehaviour

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We prove global existence and uniqueness of solutions of some important nonlinear lattices which include the Fermi-Pasta-Ulam (FPU) lattice. Our result shows (on a particular example) that the FPU lattice with high nonlinearity and its continuum limit display drastically different behaviour with respect to blow up phenomenon.

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On global existence of localized solutions of some nonlinear lattices

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