Justification of the Zakharov Model from Klein–Gordon-Wave Systems

DOI10.1081/PDE-200037756zbMath1063.35111MaRDI QIDQ3157930

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Publication date: 20 January 2005

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

zbMATH Keywords

quasilinear systemsemilinear systemlaser-plasma interactionshigh-frequency limithigh amplitude WKB solutiontransparency equalities

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) NLS equations (nonlinear Schrödinger equations) (35Q55) Asymptotic analysis in optics and electromagnetic theory (78M35)

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Randomized final-state problem for the Zakharov system in dimension three ⋮ A uniformly first-order accurate method for Klein-Gordon-Zakharov system in simultaneous high-plasma-frequency and subsonic limit regime ⋮ Partially strong transparency conditions and a singular localization method in geometric optics ⋮ Derivation of the Zakharov equations ⋮ Several continuities of a pullback random attractor for stochastic non-autonomous Zakharov lattice equations ⋮ Stabilization for the Klein–Gordon–Zakharov system ⋮ Higher-order resonances and instability of high-frequency WKB solutions ⋮ The Zakharov system in dimension \(d \geq 4\) ⋮ Effective slow dynamics models for a class of dispersive systems ⋮ Global wellposedness for the energy-critical Zakharov system below the ground state ⋮ The Zakharov limit of Klein–Gordon–Zakharov like systems in case of analytic solutions ⋮ From the Klein-Gordon-Zakharov system to a singular nonlinear Schrödinger system ⋮ FROM THE KLEIN–GORDON–ZAKHAROV SYSTEM TO THE NONLINEAR SCHRÖDINGER EQUATION ⋮ INTERACTION OF LASER BEAMS WITH A PLASMA ⋮ Effective Numerical Simulation of the Klein–Gordon–Zakharov System in the Zakharov Limit ⋮ From the Klein–Gordon–Zakharov system to the Klein–Gordon equation

Cites Work

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