论文标题
粘性汉堡型方程中的非线性增强耗散II
Nonlinear enhanced dissipation in viscous Burgers type equations II
论文作者
论文摘要
在此后续文件中，我们专注于粘性汉堡方程。在那里，使用HOPF-Cole转换，我们计算了某些类别的无限质量初始数据的解决方案的长时间行为。我们表明，增强的耗散效应通常会发生，即时间上的衰减速率要比我们考虑的相同的生物值的热方程更好。我们还展示了每个班级的一种全球吸引子的存在。
In this follow up paper, we focus on the viscous Burgers equation. There, using the Hopf-Cole transformation, we compute the long time behavior of solutions for some classes of infinite mass initial datas. We show that an enhanced dissipation effect occurs generically, that is the decay rate in time is better than if we considered instead the heat equations for the same inital value. We also show the existence of a kind of global attractor per class.
