弱阻尼KdV方程的惯性分形集<sup>*</sup>

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弱阻尼KdV方程的惯性分形集^*

基金项目: *国家自然科学基金

1.
Institute of AppIied Mathematics of Yunnan Province;Department of Math., Yunnan Univ., Kunming;
2.
Department of Math., Xijangg Univesity

摘要: 本文对非自共轭情形下弱阻尼非线性KdV方程,证明了惯性分形集存在且进行了分形维度的上界估计.
- Kdy方程 /
- 惯性分形 /
- 维度
Abstract: In this paper we consider weakly damped forced Kortewegde-Vries equation with non-self-adjoint operator.The existence of inertial fractal set M of this equation is proved,the estimates of the upper bounds of fractal dimension for M are also obtained.
- KdV equation /
- inertial fractal /
- dimension

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[4]	Eden,A.,C.Foias,B.Nicolaenko and R.Temam,Inertial sets for dissipative evolution equations,IMA.Preprint.Series,812(1991).