论文标题
非线性扩散方程系统的有限维降低
Finite-dimensional reduction of systems of nonlinear diffusion equations
论文作者
论文摘要
我们提出了一类非线性抛物线方程的一维系统，其中长期相位动力学可以由lipschitz vector场中的ode描述为r^n。在考虑到Dirichlet边界价值问题的情况下，有限维降低的足够条件被证明比周期性情况远远超过了这种已知条件。
We present a class of one-dimensional systems of nonlinear parabolic equations for which long-time phase dynamics can be described by an ODE with a Lipschitz vector field in R^n. In the considered case of the Dirichlet boundary value problem sufficient conditions for a finite-dimensional reduction turn out to be much wider than the known conditions of this kind for a periodic situation.
