一类多维非齐次GBBM方程初边值问题解的长时间行为

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1.
韶关学院数学系,广东韶关 512005;2.华南农业大学数学系,广州 510642;3.应用物理与计算数学研究所应用物理与计算数学研究所,北京 100088

基金项目: 国家自然科学基金资助项目(10471050);广东省自然科学基金资助项目(031495)

Long Time Behavior for the Solution of the Initial-Boundary Value Problem of One Class of Systems With Multidimensional Inhomogeneous GBBM Equations

1.
Department of Mathematics, Shaoguan University, Shaoguan, Guangdong 512005, P. R. China;

摘要: 研究一类多维非齐次广义Benjamin-Bona-Mahony(GBBM)方程的初值边界问题,利用Sobolev插值不等式,做关于时间的一致性先验估计,证明该问题的整体吸引子的存在性．
- 多维GBBM方程 /
- 先验估计 /
- 整体吸引子
Abstract: The following initial-boundary value problem for the systems with multidimensional inhomogeneous generalized Benjamin-Bona-Mahony (GBBM) equations is reviewed.The existence of global attractors of this problem was proved by means of a uniform a priori estimate for time.
- multidimensional GBBM equation /
- a apriori estimate /
- global attractor

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