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带弱耗散的两维非自治不可压Navier-Stokes方程的一致吸引子 被引量：3

Uniform Attractors for the 2D Non-Autonomous Navier-Stokes Equation with Weak Damping
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摘要 研究了描述流体力学规律的一类带有弱耗散两维非自治不可压Navier-Stokes方程解的长时间行为.在给出自治外力项和初值的合理假设条件下,运用弱连续方法,可以得到系统一致吸引子的存在性. In this present paper, we study the long-time behavior for the 2D non-autonomous Navier-Stokes equation with damping that governs the motion of an incompressible fluid. Under suitable assumptions on the non-autonomous external force f（t, x） and initial data u-, we show the existence of uniform attractors for the 2D non-autonomous Navier-Stokes equation with linear damDing by weak continuous method.
作者 杨新光 王红军 李钧涛
机构地区 河南师范大学数学与信息科学学院
出处 《数学物理学报（A辑）》 CSCD 北大核心 2014年第4期828-840,共13页 Acta Mathematica Scientia
基金 国家自然科学基金(11326154 61203293) 河南师范大学人才基金(qd12104 2012GGJS-063) 河南省科技厅自然科学基金(122300410414 132300410432) 河南省科技攻关项目(122102210131)资助
关键词 带耗散的Navier-Stokes方程 过程族 一致吸引子 Navier-Stokes equations with damping Process Uniform attractor
分类号 O175.29 [理学—基础数学]
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数学物理学报（A辑）
2014年 第4期

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