Global attractors for the one dimensional wave equation with displacement dependent damping

Details Global attractors for the one dimensional wave equation with displacement dependent damping Global attractors for the one dimensional wave equation with displacement dependent damping

2010-12-20

arxiv.org/abs/1012.4455v1

Mathematics

Analysis of PDEs

Scientific paper

We study the long-time behavior of solutions of the one dimensional wave
equation with nonlinear damping coefficient. We prove that if the damping
coefficient function is strictly positive near the origin then this equation
possesses a global attractor.

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