Unbounded One-Dimensional Global Attractor for the Damped Sine-Gordon Equation

Journal of Nonlinear Science - Tập 10 - Trang 417-432 - 2000
M. Qian1, W.-X. Qin1, G.-X. Wang1, S. Zhu1
1School of Mathematical Sciences, Peking University, Beijing 100871, People's Republic of China, CN

Tóm tắt

The dynamical behavior of the damped sine-Gordon equation with homogeneous Neumann boundary condition is studied. It is shown that the equation has an unbounded one-dimensional global attractor in a suitable functional space when the ``damping'' and the ``diffusing'' are not very small.

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Journal of Nonlinear Science

Tập 10

417-432

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