非自治无穷维动力系统的惯性流形

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基金项目: 国家自然科学基金资助项目(17671040)

Inertial Manifolds for Nonautonomous InfiniteDimensional Dynamical Systems

摘要: 本文讨论非自治无穷维动力系统的解的长时间行为.在谱间隙条件成立的情况下,对一类非自治发展方程证明了惯性流形的存在性.
- 非自治方程 /
- 谱间隙条件 /
- 惯性流形
Abstract: In this paper,the long time behavior of nonautonomous infinite dimensional dynamical systems is discussed.Under the spectral gap condition.It is proved that there exist inertial manifolds for a class of nonautonomous evolution equations.
- nonautonomous equations /
- the spectral gap condition /
- inertialmanifold

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