arXiv subjects

N. A. Larkin

Publications and source records attributed to N. A. Larkin.

2 recordsLinked to original sources

arXiv2022

Global Regular Solutions for the Multi-dimensional Kuramoto-Sivashinsky Equation posed on Smooth Domains

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.

math.AP↗

arXiv2012

Stabilization of regular solutions for the Zakharov-Kuznetsov equation posed on bounded rectangles and on a strip

Initial-boundary value problems for the 2D Zakharov-Kuznetsov equation posed on bounded rectangles and on a strip are considered. Spectral properties of a linearized operator and critical sizes of domains are studied. Exponential decay of regular solutions for the original nonlinear problems is proved.

math.AP↗