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带记忆的双曲方程的强全局吸引子的上半连续性

Upper Semi-Continuity of the Strong Global Attractor for the Hyperbolic Equation with the Memory
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摘要 研究带有衰退记忆的双曲方程的长时间动力学行为,通过验证解半群关于阻尼项参数α的连续依赖性,从而在空间D(A)×V×L2μ(R+;D(A))中证明了强全局吸引子的上半连续性. The long-time dynamic behavior of the hyperbolic equation with fading memory was studied,and the continuous dependence of the parameterαin damping term was verified.Thereby the upper semi-continuity of the strong global attractors in topological space D（A）×V ×L2μ（R＋;D（A））was obtained.
作者 马群 汪璇
机构地区 西北师范大学数学与统计学院
出处 《西南大学学报（自然科学版）》 CAS CSCD 北大核心 2016年第7期109-114,共6页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金项目(11361053) 甘肃省自然科学基金项目(145RJZA112)
关键词 双曲方程 记忆核 全局吸引子 上半连续性 hyperbolic equation memory kernel global attractor upper semi-continuity
分类号 O175.29 [理学—基础数学]
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参考文献8

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  • 6汪璇,居文超.记忆型弱耗散双曲方程的强全局吸引子的存在性[J].西北师范大学学报（自然科学版）,2014,50(1):6-10. 被引量：1
  • 7WANG Xuan,MA Qiao-zhen,ZHONG Cheng-kui. Upper Semi-Countinuity of the Global Attractors for a SemilinearHyperbolic Equation in Viscoelasticity [ J]. Journal of Lanzhou Univiersity (Natural Sciences), 2007,12,43(6):108-110.
  • 8赵娟霞,汪璇.带记忆的扩散方程全局吸引子的上半连续性[J].西南师范大学学报（自然科学版）,2013,38(3):20-24. 被引量：2

二级参考文献14

  • 1Chun 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
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西南大学学报（自然科学版）
2016年 第7期

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