Supercritical Zakharov–Kuznetsov equation posed on bounded rectangles

被引：0
|
作者：
M. Castelli
G. Doronin
机构：
[1] Universidade Estadual de Maringá,Departamento de Matemática
来源：
Zeitschrift für angewandte Mathematik und Physik | 2021年 / 72卷
关键词：
gZK equation; Well-posedness; Exponential decay; 35M20; 35Q72;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
An initial boundary value problem for the 2D generalized Zakharov–Kuznetsov equation posed on a bounded rectangle is considered. Supercritical (higher than two) integer powers in nonlinearity have been studied. Results on the existence, uniqueness and exponential decay of solutions are presented.
引用
收藏
相关论文
共 50 条
  • [1] Supercritical Zakharov-Kuznetsov equation posed on bounded rectangles
    Castelli, M.
    Doronin, G.
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2021, 72 (01):
  • [2] STABILIZATION OF REGULAR SOLUTIONS FOR THE ZAKHAROV-KUZNETSOV EQUATION POSED ON BOUNDED RECTANGLES AND ON A STRIP
    Doronin, G. G.
    Larkin, N. A.
    PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2015, 58 (03) : 661 - 682
  • [3] Modified and subcritical Zakharov-Kuznetsov equations posed on rectangles
    Castelli, M.
    Doronin, G.
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 275 : 554 - 580
  • [4] Existence and decay of global solutions for the Kuramoto-Sivashinsky-Zakharov-Kuznetsov equation posed on rectangles
    Larkin, N. A.
    PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2022, 3 (02):
  • [5] Decay of regular solutions for the critical 2D Zakharov-Kuznetsov equation posed on rectangles
    Larkin, N. A.
    JOURNAL OF MATHEMATICAL PHYSICS, 2020, 61 (06)
  • [6] Modified Zakharov-Kuznetsov equation posed on a strip
    Castelli, M.
    Doronin, G.
    APPLICABLE ANALYSIS, 2022, 101 (02) : 574 - 591
  • [7] GLOBAL REGULAR SOLUTIONS FOR THE 3D ZAKHAROV-KUZNETSOV EQUATION POSED ON A BOUNDED DOMAIN
    Larkin, N. A.
    DIFFERENTIAL AND INTEGRAL EQUATIONS, 2016, 29 (7-8) : 775 - 790
  • [8] Modified Zakharov-Kuznetsov Equation Posed on a Half-Strip
    M. Castelli
    G. Doronin
    M. V. Padilha
    Applied Mathematics & Optimization, 2022, 85
  • [9] Modified Zakharov-Kuznetsov Equation Posed on a Half-Strip
    Castelli, M.
    Doronin, G.
    Padilha, M., V
    APPLIED MATHEMATICS AND OPTIMIZATION, 2022, 85 (03):
  • [10] Decay of Small Solutions for the Zakharov-Kuznetsov Equation posed on a half-strip
    Larkin, Nikolai A.
    Tronco, Eduardo
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2013, 31 (01): : 57 - 64
12345