An initial boundary value problem for the Zakharov equation

DOI10.1155/2013/748761zbMath1304.35658OpenAlexW2104998189WikidataQ58920081 ScholiaQ58920081MaRDI QIDQ457890

Charles Bu, Quankang Yang

Publication date: 30 September 2014

Published in: International Journal of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/748761

zbMATH Keywords

global strong solutionGalerkin's methodZakharov equation

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Strong solutions to PDEs (35D35)

Cites Work

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• The global solution of initial value problem for nonlinear Schrödinger- Boussinesq equation in 3-dimensions
• Spectral method for the Zakharov equation with periodic boundary conditions
• Wellposedness for Zakharov systems with generalized nonlinearity
• Well-posedness in energy space for the Cauchy problem of the Klein-Gordon-Zakharov equations with different propagation speeds in three space dimensions
• Existence of self-similar blow-up solutions for Zakharov equation in dimension two. I
• On global solution for a class of systems of multidimensional generalized Zakharov type equation
• On the Zakharov and Zakharov-Schulman systems
• A Result on the Blow-up Rate for the Zakharov System in Dimension 3
• Attractor of dissipative radially symmetric Zakharov equations outside a ball
• Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure
• Global smooth solution for the Klein–Gordon–Zakharov equations

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