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

DOI10.1016/j.nonrwa.2019.06.009zbMath1430.35059arXiv1901.04483OpenAlexW2966767785WikidataQ127583435 ScholiaQ127583435MaRDI QIDQ2286757

Andrei V. Faminskii

Publication date: 22 January 2020

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.04483

zbMATH Keywords

Dirichlet boundary conditionsglobal well-posednesslong-time decayperiodic and Neumann boundary conditions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (3)

Initial-boundary value problems on a half-strip for the generalized Kawahara-Zakharov-Kuznetsov equation ⋮ Modified Zakharov-Kuznetsov equation posed on a half-strip ⋮ Initial-boundary value problems on a half-strip for the modified Zakharov-Kuznetsov equation

Cites Work

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• On initial-boundary value problems in a strip for the generalized two-dimensional Zakharov-Kuznetsov equation
• From Vlasov-Poisson to Korteweg-de Vries and Zakharov-Kuznetsov
• Initial-boundary value problems in a half-strip for two-dimensional Zakharov-Kuznetsov equation
• On special regularity properties of solutions of the Zakharov-Kuznetsov equation
• Initial-boundary value problems in a rectangle for two-dimensional Zakharov-Kuznetsov equation
• Regular solutions of the 2D Zakharov-Kuznetsov equation on a half-strip
• Exponential decay of the \(H^1\)-norm for the 2D Zakharov-Kuznetsov equation on a half-strip
• Bilinear Strichartz estimates for the Zakharov-Kuznetsov equation and applications
• On the regularity of solutions of the Cauchy problem for the Zakharov-Kuznetsov equation in Hölder norms
• Well-posedness for the generalized Zakharov-Kuznetsov equation on modulation spaces
• Global regular solutions for the 3D Zakharov-Kuznetsov equation posed on a bounded domain.
• On Internal Regularity of Solutions to the Initial Value Problem for the Zakharov–Kuznetsov Equation
• An initial and boundary-value problem for the Zakharov-Kuznestov equation in a bounded domain
• Stabilization of Regular Solutions for the Zakharov-Kuznetsov Equation Posed on Bounded Rectangles and on a Strip
• An Initial-Boundary Value Problem in a Strip for Two-Dimensional Equations of Zakharov–Kuznetsov Type
• Well-Posedness for the ZK Equation in a Cylinder and on the Background of a KdV Soliton

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