本文用Ｈａｄａｍａｒｄ方法为一类带有非线性项Ｒ：Ｄ（Ａ）→Ｈ的无限维耗散动力系统建立惯性流形．在建立惯性流形的过程中，系统的一种“不变锥性质”被充分利用着．这里，对惯性流形存在性至关紧要的谱间隙条件是．

In this paper,the Hadamard method is used to construct inertial manifolds fordissipative dynamic system du/dt + Au + R(u)= 0 with R :D (A)→H. A called“invariantcone property”of the system is thoroughly utilized in the procedure of constructing inertialmanifolds.The spectral gap condition which is crucial to the existence of inertial manifold isthat.