期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

非经典反应扩散方程强解的全局吸引子(英文) 被引量：6

Global attractors of strong solutions to nonclassical diffusion equations
在线阅读 下载PDF
导出
摘要 利用半群方法证明了非经典反应扩散方程强全局吸引子的存在性。 Existence of strong global attractors for nonclassical diffusion equations is considered in a stronger Hilbert space using the new semigroup approach.
作者 马巧珍 钟承奎
机构地区 西北师范大学数学与信息科学学院 兰州大学数学与统计学院
出处 《兰州大学学报（自然科学版）》 CAS CSCD 北大核心 2004年第5期7-9,共3页 Journal of Lanzhou University(Natural Sciences)
基金 Supported by National Science Foundation of China (19971036) the Young Teachers Foundation of Northwest Normal University.
关键词 全局吸引子 反应扩散方程 强解 半群 存在性 证明 global attractor nonclassical diffusion equation absorbing set
分类号 O175 [理学—基础数学] O241.8 [理学—计算数学]
  • 相关文献

参考文献7

  • 1Aifantis E C. On the problem of diffusion in solids[J]. Acta Mech, 1980, 37(1): 265-296.
  • 2Ting T W. Certain non-steady flows of second order fluids[J]. Arch Rational Mech Anal, 1963, 14(1):1-26.
  • 3Xiao Y L, Attractors for a nonclassical diffusion equation[J]. Acta Math Appl Sinica, English Series,2002, 18(1): 273-276.
  • 4Teman R. Infinite dimensional dynamical system in mechanics and physics(Second edition)[M]. New York: Spring-Verlag, 1997.
  • 5Oliva S M. Reaction-diffusion equations with nonlinear boundary delay[J]. J Dynamics and Differential Equations, 1999, 11(2): 279-296.
  • 6Ma Q F, Wang S H, Zhong C K. Necessary and sufficient conditions for the existence of global attractor for semigroup and application[J]. Indiana University Mathematics Journal, 2002, 51(6): 1541-1559.
  • 7Claudio G, Munoz J E, Pata V. Global attractors for a semilinear hyperbolic equation in viscoelasticity[J]. J Math Anal Appl, 2001, 260(1): 83-99.

同被引文献61

  • 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：21
  • 2SHIGESADA N,KAWASAKI K,TERAMOTO E.Spatial segregation of interacting species[J].J Theor Biology,1979,79(1):83-99.
  • 3LOU Y,NI W M.Diffusion,self-diffusion and cross-diffusion[J].J Diff Eqs,1996,131(1):79-131.
  • 4LOU Y,NI W M.Diffusion vs cross-diffusion:an elliptic approach[J].J Diff Eqs,1996,154(1):157-190.
  • 5RUAN W.Positive steady-state solutions of a competing reaction-diffusion system with large cross-diffusion coefficients[J].J Math Anal Appl,1996,197(2):558-578.
  • 6LOU Y,NI W M,WU Y.On the global existence of a cross-diffusion system[J].Discrete Contin Dynam Systems,1998,4(2):193-203.
  • 7WU Y.Qualitative studies of solutions for some cross-diffusion systems[C]//Symposium on Reaction-diffusion Equations and Their Applications and Computational Aspects.Singapore:World Scientific,1979:177-187.
  • 8LED.Cross-diffusion systems on n spatial dimensional domains[J].Indiana Univ Math J,2002,51(3):625-643.
  • 9GALIANO G,JUNGLE A,GARZON M.Semi-discretization in time and numerical convergence of solutions of a nonlinear cross-diffusion population model[J].Numer Math,2003,93(4):655-673.
  • 10SHIM S A.Uniform boundedness and convergence of solutions to the systems with cross-diffusion dominated by self-diffusion[J].Nonlinear Analysis RWA,2003,4(1):65-86.

引证文献6

二级引证文献13

兰州大学学报（自然科学版）
2004年 第5期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部