论文标题
薄膜方程的不变歧管
Invariant Manifolds for the Thin Film Equation
论文作者
论文摘要
研究了$ \ mathbb {r}^n $在$ \ mathbb {r}^n $上具有线性迁移率的薄膜方程解决方案的大型行为：我们研究了在初始数据上某些对称性假设下，朝着自相似的smyth- smyth-hill somyth smyth-hill解决方案的更高级别渐近差异。该分析基于有限维不变的歧管的构造，该歧管近似于任意规定的顺序。
The large-time behavior of solutions to the thin film equation with linear mobility in the complete wetting regime on $\mathbb{R}^N$ is examined: We investigate the higher order asymptotics of solutions converging towards self-similar Smyth--Hill solutions under certain symmetry assumptions on the initial data. The analysis is based on a construction of finite-dimensional invariant manifolds that solutions approximate to an arbitrarily prescribed order.
