Attractors for second order periodic lattices with nonlinear damping |
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| Authors: | JC Oliveira JM Pereira |
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| Institution: | Departamento de Matemática , Universidade Federal de Santa Catarina , CEP 88040-900, Florianópolis, SC, Brasil |
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| Abstract: | We consider second order nonlinear lattices under the effect of nonlinear damping. The family we study is subject to cyclic boundary conditions and includes as distinguished examples the Fermi–Pasta–Ulam and sine-Gordon lattices. We prove global well posedness and existence of a global attractor. |
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| Keywords: | nonlinear lattices global attractor Green function sine-Gordon |
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