SMOOTHNESS OF INERTIAL MANIFOLD UNDER TIME DISCRETIZATION

数学物理学报(英文版) ›› 1997, Vol. 17 ›› Issue (1): 108-120.

• 论文 • 上一篇

SMOOTHNESS OF INERTIAL MANIFOLD UNDER TIME DISCRETIZATION

马逸尘, 胡常兵

Research Centre for Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049, China

收稿日期:1995-03-13 修回日期:1995-07-16 出版日期:1997-03-25 发布日期:1997-03-25
基金资助:
Supported By State Major Key Project for Basic Researchs.

SMOOTHNESS OF INERTIAL MANIFOLD UNDER TIME DISCRETIZATION

Ma Yichen, Hu changbing

Research Centre for Applied Mathematics, Xi'an Jiaotong University, Xi'an 710049, China

Received:1995-03-13 Revised:1995-07-16 Online:1997-03-25 Published:1997-03-25
Supported by:
Supported By State Major Key Project for Basic Researchs.

摘要/Abstract

摘要： In this paper we discuss the smoothness of inertial manifolds under time discretization. By the fibre contract principle, see Section 4, we obtain a sufficient condition for C^k(k ≥ 1) inertial manifolds. In view of the numerical computation for dissipative nonlinear evolution equations, it is more important to consider the discretized case than continuous case^[3].

关键词: Nonlinear evolution equation, Inertial Manifold, Time discretization

Abstract: In this paper we discuss the smoothness of inertial manifolds under time discretization. By the fibre contract principle, see Section 4, we obtain a sufficient condition for C^k(k ≥ 1) inertial manifolds. In view of the numerical computation for dissipative nonlinear evolution equations, it is more important to consider the discretized case than continuous case^[3].

Key words: Nonlinear evolution equation, Inertial Manifold, Time discretization

马逸尘, 胡常兵. SMOOTHNESS OF INERTIAL MANIFOLD UNDER TIME DISCRETIZATION[J]. 数学物理学报(英文版), 1997, 17(1): 108-120.

Ma Yichen, Hu changbing. SMOOTHNESS OF INERTIAL MANIFOLD UNDER TIME DISCRETIZATION[J]. Acta mathematica scientia,Series B, 1997, 17(1): 108-120.

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SMOOTHNESS OF INERTIAL MANIFOLD UNDER TIME DISCRETIZATION

SMOOTHNESS OF INERTIAL MANIFOLD UNDER TIME DISCRETIZATION

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