论文标题
在光滑域上摆放的多维库拉莫托 - sivashinsky方程的全局常规解决方案
Global Regular Solutions for the Multi-dimensional Kuramoto-Sivashinsky Equation posed on Smooth Domains
论文作者
论文摘要
考虑到$ n $数（$ n $是间隔[2,7]）的$ n $数值的初始价值问题（$ n $是一个自然数字）库拉莫托 - sivashinsky方程在$ \ mathbb {r}^n $中的平滑限制域上构成。已经考虑了全球常规解决方案及其指数衰减的存在和独特性。
Initial-boundary value problems for the $n$-dimensional ($n$ is a natural number from the interval [2,7]) Kuramoto-Sivashinsky equation posed on smooth bounded domains in $\mathbb{R}^n$ were considered. The existence and uniqueness of global regular solutions as well as their exponential decay have been considered.
