WEAK SOLUTION TO THE INCOMPRESSIBLE VISCOUS FLUID AND A THERMOELASTIC PLATE INTERACTION PROBLEM IN 3D

In this paper we deal with a nonlinear interaction problem between an incompressible viscous fluid and a nonlinear thermoelastic plate.The nonlinearity in the plate equation corresponds to nonlinear elastic force in various physically relevant semilinear and quasilinear plate models.We prove the existence of a weak solution for this problem by constructing a hybrid approximation scheme that,via operator splitting,decouples the system into two sub-problems,one piece-wise stationary for the fluid and one time-continuous and in a finite basis for the structure.To prove the convergence of the approximate quasilinear elastic force,we develop a compensated compactness method that relies on the maximal monotonicity property of this nonlinear function.     

燃油税改革的动态一般均衡分析

建立了燃油税的动态可计算一般均衡模型,设计金融海啸后的预测模拟场景,综合分析和评价燃油税的征税效果。研究结果表明,燃油税改革实现了“费改税”,但由于纳税群体的扩大,尽管产生了显著的节能减排效果,但不利于经济增长。相比其他产业,交通运输部门,特别是航空运输部门受损较小。长期而言,劳动密集型行业将受损有所减缓。但资本密集型行业将受损更为严重。     

平面不可压缩的NAVIER-STOKES方程新五模类LORENZ方程组的混沌行为

本文研究了平面正方形区域上不可压缩的Navier-Stokes方程五模类Lorenz方程组的混沌行为问题.利用傅立叶展开方法对Navier-Stokes方程进行模式截断,获得了新五模类Lorenz方程组,给出了该方程组定常解及其稳定性的讨论,证明了该方程组吸引子的存在性,并对其全局稳定性进行了分析和讨论.