Long time behavior of the solutions for the dissipative modified Zakharov equations for plasmas with a quantum correction

DOI10.1016/j.jmaa.2013.01.058zbMath1360.35245OpenAlexW1978923662MaRDI QIDQ394940

Shao-mei Fang, Bo-ling Guo, Chang-hong Guo

Publication date: 28 January 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.01.058

zbMATH Keywords

global attractorquantum correctionfinite Hausdorff and fractal dimensionsmodified Zakharov equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Second-order nonlinear hyperbolic equations (35L70) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (6)

The time-periodic solutions to the modified Zakharov equations with a quantum correction ⋮ Existence and blowup of solutions for the modified Klein-Gordon-Zakharov equations for plasmas with a quantum correction ⋮ Exact periodic wave solutions for the modified Zakharov equations with a quantum correction ⋮ Finite dimensionality and upper semicontinuity of kernel sections for the discrete Zakharov equations ⋮ The fractional modified Zakharov system for plasmas with a quantum correction ⋮ PULLBACK ATTRACTORS AND INVARIANT MEASURES FOR THE DISCRETE ZAKHAROV EQUATIONS

Cites Work

• Existence of weak solution for quantum Zakharov equations for plasmas model
• Finite dimensional behavior for weakly damped driven Schrödinger equations
• Infinite-dimensional dynamical systems in mechanics and physics.
• Exact traveling wave solutions of modified Zakharov equations for plasmas with a quantum correction
• Existence of attractors for modified Zakharov equations for plasmas with a quantum correction
• Attractors for the dissipative Zakharov system
• Attractors representing turbulent flows

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