Stochastic Nonlinear Dynamics

该奖项支持以非平衡物理为基础的数学课题的基础研究。非线性和随机动力系统的理论方面将主要使用分析技术和数值模拟来研究。这项工作将集中于涨落对扩散反应系统中非线性波传播的影响以及以Navier-Stokes方程和复Ginzburg-Landau方程为代表的连续介质模型中的湍流动力学。

This award supports basic research on mathematical topics at the foundation of nonequilibrium physics. Theoretical aspects of nonlinear and stochastic dynamical systems will be studied using predominantly analytic techniques and also numerical simulations. The work will focus on the effect of fluctuations on non-linear wave propagation in diffuse- reaction systems and on turbulent dynamics in continuum models represented by the Navier-Stokes and complex Ginzburg-Landau equations.