轴对称涡旋非线性运动平衡态、失稳和突变影响因子的研究

本文采用非线性动力系统数学模型,探讨了轴对称涡旋运动平衡态、失稳和突变现象的影响因子。提出了低涡、台风系统扰动异变现象不仅与对流加热、耗散因子相关,而且还与系统外界热量、动量的非线性平流、下垫面的感热、潜热输送结构相关。本文还导出了系统突变相关因子的临界关系式。

Study on influence factors of equilibria, destablization and catastrophe of nonlinear movement of axisymmetric vortex

By using a mathematical model of nonlinear dynamic system, the influence factors of equilibria, destablization and catastrophe in nonlinear movement of the axisymmetric vortex are discussed.The result shows that anomalous developments of vortices and tropical cyclones are related not only to convection and dissipation, but also to nonlinear advection of momentum, thermal flux through the lateral boundary of systems and transfer structures of sensible and latent heats on underlying surface.