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

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. © 2019 Elsevier Ltd

Authors
Editors
-
Publisher
Elsevier Ltd
Number of issue
-
Language
English
Pages
-
Status
Published
Department
-
Number
102959
Volume
51
Year
2020
Organizations
  • 1 Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho–Maklaya Street, Moscow, 117198, Russian Federation
Keywords
Global solution; Initial–boundary value problem; Regularity; Zakharov–Kuznetsov equation
Date of creation
10.02.2020
Date of change
10.02.2020
Short link
https://repository.rudn.ru/en/records/article/record/56522/