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自治Cahn-Hilliard方程解的长时间行为 被引量:1

The Long Time Behavior of Solutions to Cahn-Hilliard Equation
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摘要 研究了在有界区域上,在非线性项f是临界指数增长的条件下,首先运用C条件验证存在有界吸收集,进而证明了自治Cahn-Hilliard方程指数吸引子的存在性. On the bounded area,the nonlinear term f is a critical index of growth conditions.First of all,we use C conditions for validation of bounded incorporate set,and then prove the existence of exponential attractor of the autonomous Cahn Hilliard equation.
作者 苏小虎 姜金平 SU Xiaohu;JIANG Jinping(College of Mathematics and Computer Science,Yan’an University,Yan’an 716000,China)
出处 《湖北民族学院学报(自然科学版)》 CAS 2019年第3期254-256,265,共4页 Journal of Hubei Minzu University(Natural Science Edition)
基金 陕西省自然科学基础研究项目(2018JM1042) 延安大学研究生教育创新计划项目(YCX201906)
关键词 自治Cahn-Hilliard方程 指数吸引子 临界指数增长 autonomous Cahn-Hilliard equation exponential attractors critical exponent
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  • 1马巧珍,钟承奎.非经典反应扩散方程强解的全局吸引子(英文)[J].兰州大学学报(自然科学版),2004,40(5):7-9. 被引量:5
  • 2黄锐,尹景学,李颖花,王春朋.Global Existence and Blow-up of Solutions to Multi-dimensional (n ≤ 5) Viscous Cahn-Hilliard Equation[J].Northeastern Mathematical Journal,2005,21(3):371-378. 被引量:5
  • 3Chun You SUN,Su Yun WANG,Cheng Kui ZHONG.Global Attractors for a Nonclassical Diffusion Equation[J].Acta Mathematica Sinica,English Series,2007,23(7):1271-1280. 被引量:20
  • 4S. Ai, Traveling wave fronts for generalized Fisher equations with spatio-temporal delays, J. Differential E- quations 232(2007), no.l, 104-133.
  • 5X. Han, L. Pan, Traveling Wavefronts on Reaction Diffusion Systems with Spatio-Temporal Delays, submitted to Nonlinear Analysis: Real World Applications.
  • 6X. Zhao, W. Wang, Fisher waves in an epidemic model, Discr. & Contin. Dynam. Syst. Series B, 4(2004) 1117-1128.
  • 7Alikakos N, Bates P W, Fusco G. Slow motion for the Cahn-Hilliard equation in one space dimension[J]. J Differential Equations, 1991, 90(1): 81-135.
  • 8Bates P W, Fife P C. Spectral comparison principles for the Cahn-Hilliard equation and phasefield equations, and time scales for coarsening[J]. Phys D, 1990, 43(2): 335-348.
  • 9Cholewa J W, Dlotko T. Global attractor of the Cahn-Hilliard system[J]. Bull Austral Math Soc,1994, 49(3): 277-302.
  • 10Dlotko T. Global attractor for the Cahn-Hilliard equation in H2 and H3[J]. J Differential Equations,1994, 113(2): 381-393.

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