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非自治B-BBM方程的近似惯性流形(英文) 被引量:8

The Approximate Inertial Manifolds for Non-Autonomous B-BBM Equation
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摘要 采用时间t的小扰动方法构造了非自治B BBM方程的近似惯性流形. In this paper,the approximate inertial manifolds for non-autonomous B-BBM equation are constructed by the method of small perturbation of time t.
作者 朱朝生 梅挺
出处 《西南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2004年第5期705-711,共7页 Journal of Southwest China Normal University(Natural Science Edition)
关键词 非自治B-BBM方程 近似惯性流形 标准化系统 扰动 B-BBM equation non-autonomous approximate inertial manifolds
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参考文献12

  • 1Temam R. Infinite Dimensional Dynamical Systems in Mechanics and Physics[ M]. New York: Springer-Verlag, 1988.
  • 2Chepyzhov V V, Vishik M I. Attractors of Non-Autonomous Dynamical Systems and Their Dimension [J]. J Math Pures Appl, 1994,73: 279 - 333.
  • 3Haraus A. Attractors of Asymptotically Compact Processes and Applications to Non-Linear Partial Differential Equations [ J]. Comm Partial Differential Equations, 1988, 13:1383 - 1414.
  • 4Dafermos C M. An Invariance Principle for Compact Processes [ J]. J Differential Equations, 1971, 9: 239- 252.
  • 5Dafermos C M. Almost Periodic Processes and Almost Periodic Solutions of Evolution Equations Proceedings of a University of Florida,International Symposium [ M]. New York: Academic Press, 1977. 43 - 57.
  • 6Dafermos C M. Uniform Processes and Semi-Continuous Liapunov Functions [J]. J Differential Equations, 1972, 2:401 -415.
  • 7Dafermos C M. Semi-Flows Associated with Compact and Uniform Processes [J]. Math Systems Theory, 1974, 8: 142- 149.
  • 8Lasalle J P. Stability Theory and Invariance Principles in Dynamical Systems [M] . San Diego: Academic Press, 1976.
  • 9Hale J K, Kato J. Phase Space of Retarded Equations with Infinitely Delay [J]. J Tohoku Marth, 1978, 21:11 -41.
  • 10Sell G. Non-Autonomous Differential Equations and Topological Dynamics ( Ⅰ , Ⅱ ) [J]. Amer Math Soc, 1967, 127:1785 - 1797.

二级参考文献12

  • 1Chueshouv I D. Global attractors for non-linear problem of mathematical physics[ J ]. Uspekhi Math Nauk, 1993,48:135 - 162.
  • 2Henry D. Geometric Theory of Semilinear Parabolic Differential Equations[M]. New York, Berlin:Springer-Verlag, 1981.
  • 3Hale J K. Asymptotic Behavior of Dissipative Systems[M]. Providence RI:Am Math Soc. 1988.
  • 4Stuart A M. Theory and Numerics of Ordinary and Partial Differential Equations[M]. Oxford: Oxford Univ Press, 1995.
  • 5Temam R. Infinite Dimensional Dynamical Systems in Mechanics and Physics[ M]. New York: Springer-Verlag, 1988.
  • 6Harau S A. Attractors of asymptotically compact processes and applications to non-linear partial differential equations[J]. Comm Partial Differential Equations, 1988,13:1383 - 1414.
  • 7Chepyzhov V V, Vishik M I. Attractors af non-autonmous dynamical systems and their dirmension[J]. J Math Pures Appl.1994.73:279- 333.
  • 8Benjamin T B, Bona J L, Mahony J J. Model equations for long waves in nonlinear dispersive systems[J]. Philos Trans R Soc A,1972,272: 47 - 78.
  • 9Zhao H J, Xuan B J. Existence and convergence of solutions for the generalized BBM-Burgers equations with dissipative term[J]. Nonlinear Analysis, 1993,20:1835 - 1850.
  • 10罗宏,蒲志林,陈光淦.具有一般非线性项的Cahn-Hilliard方程的整体吸引子[J].四川师范大学学报(自然科学版),2002,25(4):333-338. 被引量:5

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