论文标题
多维的库拉莫托 - 西瓦辛斯基 - 扎哈罗夫 - 库兹尼托夫方程式在可允许的多维领域
Multi-dimensional Kuramoto-Sivashinsky-Zakharov-Kuznetsov equation posed on admissible multi-dimensional domains
论文作者
论文摘要
n维的初始有限值问题（$ n $是间隔[2,7]的自然数字）库拉莫托 - sivashinsky-zakharov-kuznetsov方程在$ \ mathbb {r}^n $的平滑界面上摆放在平滑限制的域上。已经建立了全球常规解决方案及其指数衰减的存在和独特性。已经揭示了方程式的固定部分和域的可接受维度之间的连接。 关键字：库拉莫托 - 西瓦辛斯基方程，Zakharov-Kuznetsov方程，全球解决方案
An initial-boundary value problem for the n-dimensional ($n$ is a natural number from the interval [2,7]) Kuramoto-Sivashinsky-Zakharov-Kuznetsov equation posed on smooth bounded domains in $\mathbb{R}^n$ was considered. The existence and uniqueness of global regular solutions as well as their exponential decay have been established. A connection between an order of the stationary part of the equation and admissible dimensions of a domain has been revealed. Keywords: Kuramoto-Sivashinsky equation, Zakharov-Kuznetsov equation, Global solutions
