一类大气非线性动力热力学反应-扩散系统解的稳定性态
陈丽华;林万涛;林一骅;莫嘉琪
【期刊名称】《物理学报》 【年(卷),期】2012(061)014
【摘要】A class of nonlinear system is studied.Firstly,the reaction-diffusion system with speed,temperature and humidity for a atmospheric nonlinear force dissipative system is discussed using the atmospheric nonlinear theory of thermodynamics and dynamics. Secondly,the small disturbed solution of atmospheric nonlinear reaction-diffusion system in the neighborhood of homogeneous steady state solution is obtained from the Lyapunov stability theory.Finally,from the variations of the control parameters for transgenic processes,the states of ordered-unordered-ordered processes of atmospheric nonlinear reaction-diffusion system are found.Thus the corresponding local atmospheric nonlinear force dissipative system can be predicated and calculated.%研究了一类大气非线性系统.利用大气非线性热力动力学理论,讨论了大气非线性强迫耗散系统的速度、温度和湿度所满足的非线性反应-扩散系统,再利用微分方程Lyapunov稳定性理论,得到了大气非线性反应-扩散系统在均匀定态解邻域内的微扰解.最后由系统的控制参数的变化,得到了大气非线性强迫耗散系统有关的物理量的有序-无序-有序状态的转化过程,从而可以预报和预测相应的局部大气非线性强迫耗散系统的稳定性态. 【总页数】6页(6-11)
一类大气非线性动力热力学反应-扩散系统解的稳定性态
