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一类非经典反应扩散方程的强解的长期行为 被引量：3

Long time behavior of strong solutions for a class of nonclassical reaction-diffusion equations
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摘要 考虑了一类非经典反应扩散方程整体强解的长期行为,利用ω-极限紧方法在空间D(A)= H^2(Ω)∩H_0~1(Ω)中得到了全局吸引子A的存在性,A在D(A)中按D(A)的范数吸引D(A)中的任意有界集. Long time behavior of global strong solution for a class of nonclassical reaction-diffusion equations was studied, and a method of ω-limit compact was used to prove the existence of global attractor A in D（A） = H^2（Ω） ∩ H0^1 （Ω）, where .4 attracts any bounded subset in D（A） with the norm of D（A）.
作者 王素云
机构地区 兰州城市学院数学学院
出处 《兰州大学学报（自然科学版）》 CAS CSCD 北大核心 2008年第6期124-126,共3页 Journal of Lanzhou University(Natural Sciences)
基金 国家自然科学基金(10771159)资助.
关键词 非经典反应扩散方程 吸引子 强解 ω-极限紧 nonclassical reaction-diffusion equation attractor strong solution ω-limit compact
分类号 O175 [理学—基础数学]
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参考文献2

二级参考文献16

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共引文献27

同被引文献15

  • 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
  • 2Chun 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
  • 3Aifantis E C. On the problem of diffusion in solids[J].Acta Mechanica,1980.265-296.
  • 4Lions J L,Magenes E. Non-homogeneous boundary value problems and applications[M].Berlin:springer-verlag,1972.
  • 5Kalantarov V K. On the attractors for some non-linear problems of mathematical physics[J].Zap Nauch Sem LOMI,1986.50-54.
  • 6Xiao Y L. Attractors for a nonclassical diffusion equation[J].Acta Mathematicae Applicatae Sinica,2002.273-276.
  • 7Sun C Y,Wang S Y,Zhong C K. Global attractors for a nonclassical diffusion equation[J].Acta Mathematica Scientia(English Edition),2007.1271-1280.
  • 8Wang S Y,Li D S,Zhong C K. On the dynamics of a class of nonclassical parabolic equations[J].Journal of Mathematical Analysis and Applications,2006.565-582.
  • 9Sun C,Yang M. Dynamics of the nonclassical diffusion equations[J].Asymptotic Analysis,2008,(1/2):51-81.
  • 10Eden A,Foias C,Nicolaenko B. Exponential Attractors for Dissipative Evolution Equations[M].New York:Masson Paris:Wiely,1994.

引证文献3

二级引证文献2

兰州大学学报（自然科学版）
2008年 第6期

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