Stochastic Nonlinear Dynamics: Many Degrees of Freedom Far from Equilibrium (Physics)

提出了对非平衡非线性随机动力学系统的稳态和动态特性进行研究的方法。它旨在阐明这些复杂系统的数学结构，同时研究流体动力学、非平衡统计物理和量子场论中的特定物理问题。反应扩散方程的动力学和稳态的化学反应将处理微观。有限维模型将从无限维流体力学公式出发进行研究。

It is proposed to study the stationary and dynamic properties of far-from-equilibrium nonlinear stochastic dynamics systems. It is intended to elucidate the methematical structure of these complex systems while studying specific physical problems in fluid dynamics, non equilibrium statistical physics and quantum field theory. Reaction diffusion equations for the kinetic and stationary states of chemical reactions will be treated microscopically. Finite dimensional models will be investigated starting from their infinite dimensional hydrodynamic formulation.