一类拟抛物粘性扩散方程的整体吸引子(英文)  

Global Attractor for a Class of Pseudoparabolic Viscous Diffusion Equations

作　　者：尚亚东[1] 

机构地区：[1]广州大学数学与信息科学学院,广东广州510405

出　　处：《应用数学》2005年第2期209-218,共10页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(10271034)

摘　　要：本文考虑出现在人口动力学及稳定分层粘性湍动慢剪切流的热与质量传输理论中一类拟抛物粘性扩散方程解的渐近性态.证明了有限维整体吸引子的存在性.In the present paper,the author considers t he asymptotic behavior of solutions for a class pseudoparabolic viscous diffusion equation which arises in population dynamics and in the theory of heat and mass transfer in stably stratified turbulent shear and slow viscous flows.We prove th at the existence of the finite-dimensional global attractor for this equation.

关 键 词：拟抛物粘性扩散方程 渐近性态 整体吸引子 弱连续性 豪斯道夫维数 分形维数 

分 类 号：O175.26[理学—数学]