论文标题
Kuramoto-Sivashinsky方程
The Kuramoto-Sivashinsky Equation
论文作者
论文摘要
Kuramoto-Sivashinsky方程是作为一个简单的火焰中不稳定性的一维模型引入的，但事实证明它本身就引人入胜。原因之一是该方程是带有时间箭头的Galilean-Invariant Chaos的简单模型。从随机初始条件开始，明显的时间 - 对称条带状图案出现。随着时间的流逝，这些条纹似乎是诞生和合并的，但不要死或分裂。我们对这种效果提出了一个精确的猜想，这需要对“条纹”的精确定义。
The Kuramoto-Sivashinsky equation was introduced as a simple 1-dimensional model of instabilities in flames, but it turned out to mathematically fascinating in its own right. One reason is that this equation is a simple model of Galilean-invariant chaos with an arrow of time. Starting from random initial conditions, manifestly time-asymmetric stripe-like patterns emerge. As we move forward in time, it appears that these stripes are born and merge, but do not die or split. We pose a precise conjecture to this effect, which requires a precise definition of 'stripes'.
