非线性SobolevGalpern方程的近似惯性流形

Abstract

Abstract:

The concept of approximate inertial manifold is related to the study of the long time behavior of dissiputive partial differential equations. In the present paper, the authors construct two approximate inertial manifolds for the nonlinear Sobolev Galpern equations. The authors show that the non flat approximate inertial manifold Σ and the flat approximate inertial manifold Σ_0=P_mH have the same order of approximation to the global attractor.

Key words: Nonlinear Sobolev Galpern equations, Long time behavior, Approximate inertial manifolds.

CLC Number:

35B40

SHANG Y-Dong, GUO Bo-Ling. Approximate Inertial Manifolds for the Nonlinear Sobolev Galpern Equations[J].Acta mathematica scientia,Series A, 2004, 24(1): 105-115.

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Approximate Inertial Manifolds for the Nonlinear Sobolev Galpern Equations

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