Regular solutions to initial-boundary value problems in a half-strip for two-dimensional Zakharov-Kuznetsov equation

被引：3

作者：

Faminskii, Andrei V. ^{[1
]}

机构：

[1] RUDN Univ, Peoples Friendship Univ Russia, 6 Miklukho Maklaya St, Moscow 117198, Russia

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2020年 / 51卷

关键词：

Zakharov-Kuznetsov equation; Initial-boundary value problem; Global solution; Regularity; CAUCHY-PROBLEM; WELL-POSEDNESS; POISSON;

D O I：

10.1016/j.nonrwa.2019.06.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Initial-boundary value problems in a half-strip with different types of boundary conditions for two-dimensional Zakharov-Kuznetsov equation are considered. Results on global well-posedness in classes of regular solutions in the cases of periodic and Neumann boundary conditions, as well as on internal regularity of solutions for all types of boundary conditions are established. Also in the case of Dirichlet boundary conditions one result on long-time decay of regular solutions is obtained. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页数：21

共 24 条

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