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耗散广义KDV方程的大范围动力学尤行程研究如下具有周期边界条件的耗散广义KDV方程证明了在空间V中存在由这方程生成的半流的惯性流形.这样一个流形是有限维的、正不变的和指数吸引了所有解的轨道.这耗散广义KDV方程的长时间动力学行为完全由无孤立于现象的有限模态所决定.
The large-scale dynamics of dissipative generalized KDV equation The specialized traveling-wave equation is studied as follows. The dissipative generalized KDV equation with periodic boundary conditions proves that there exists a half-flow inertial manifold in space V generated by this equation. Such a manifold is finite in dimension, invariant and the index attracts the orbit of all solutions. The long-time kinetic behavior of this dissipative generalized KDV equation is completely determined by the finite mode without isolation from the phenomenon.