Global Periodic Attractors for a Class of Infinite Dimensional Dissipative Dynamical Systems

Abstract

In this paper we consider the existence of a global periodic attractor for a class of infinite dimensional dissipative equations under homogeneous Dirichlet boundary conditions. It is proved that in a certain parameter, for an arbitrary timeperiodic driving force, the system has a unique periodic solution attracting any bounded set exponentially in the phase space, which implies that the system behaves exactly as a one-dimensional system. We mention, in particular, that the obtained result can be used to prove the existence of the global periodic attractor for abstract parabolic problems.

An Investigation on the Aerodynamic Performance Evaluation and the Layout of Wind Turbine in the Typical Mountainous Terrain

“…For the flat terrain, the turbulence characteristics are relative stable and the linear model can meet the evaluation, so the industry generally uses mature commercial software, such as WasP, Park and WindFarmer, etc. [3] ; for the complex terrain, in addition to the use of the WindSim and the French WT Meteodyn and other software, Fluent and other general computational fluid software for flow field simulationares common technical means.…”

“…Turbulence intensity, in addition to the fatigue damage caused by the structure of the wind turbine, has a serious impact on the efficiency of wind power generation. The greater the turbulence intensity is, the greater the performance loss [3] is. Through the basic element model method, the influence of turbulence intensity on the performance of the wind turbine is studied by Cao Chong et al [8] , Mountain terrain could change the distribution at the near earth space, so the impact of this change on the performance of wind turbines needs to be evaluated.…”