An initial and boundary-value problem for the Zakharov-Kuznestov equation in a bounded domain

DOI10.1063/1.4752102zbMath1278.35221OpenAlexW1992134394MaRDI QIDQ2872379

Chuntian Wang, Roger M. Temam, Jean Claude Saut

Publication date: 14 January 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4752102

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear higher-order PDEs (35G20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

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Cites Work

• A note on the Cauchy problem for the 2D generalized Zakharov-Kuznetsov equations
• The Cauchy problem for the 3D Zakharov-Kuznetsov equation
• Semigroups of linear operators and applications to partial differential equations
• Nonlocal well-posedness of the mixed problem for the Zakharov-Kuznetsov equation
• Well-Posedness Results for the Three-Dimensional Zakharov--Kuznetsov Equation
• The initial-value problem for the Korteweg-de Vries equation
• A Nonhomogeneous Boundary-Value Problem for the Korteweg–de Vries Equation Posed on a Finite Domain
• Well-Posedness for the ZK Equation in a Cylinder and on the Background of a KdV Soliton
• An initial-boundary-value problem that approximates the quarter-plane problem for the Korteweg-de Vries equation
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