PULLBACK ATTRACTORS AND INVARIANT MEASURES FOR THE DISCRETE ZAKHAROV EQUATIONS

DOI10.11948/20190091zbMath1462.37087OpenAlexW3007011063MaRDI QIDQ5859462

Zeqi Zhu, Caidi Zhao, Yanmiao Sang

Publication date: 16 April 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/20190091

zbMATH Keywords

invariant measurepullback attractordiscrete Zakharov equations

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Discrete version of topics in analysis (39A12) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60)

Related Items (15)

Existence and approximation of attractors for nonlinear coupled lattice wave equations ⋮ Statistical solution and Liouville-type theorem for the nonautonomous discrete Selkov model ⋮ Several continuities of a pullback random attractor for stochastic non-autonomous Zakharov lattice equations ⋮ Entire solutions for an inhomogeneous bistable discrete diffusive equation ⋮ Statistical solutions and Liouville theorem for the second order lattice systems with varying coefficients ⋮ Statistical solution for the nonlocal discrete nonlinear Schrödinger equation ⋮ Existence, degenerate regularity and limit behavior of trajectory statistical solution for the 3D incompressible micropolar fluids flows with damping term ⋮ Pullback D$$ \mathcal{D} $$‐attractors for doubly nonlinear parabolic equations ⋮ Statistical solutions and degenerate regularity for the micropolar fluid with generalized Newton constitutive law ⋮ Regularity of pullback random attractors and invariant sample measures for nonautonomous stochastic \(p\)-Laplacian lattice systems ⋮ Strong attractors for the strongly damped wave equations on time-dependent spaces ⋮ Unnamed Item ⋮ Invariant measures and statistical solutions for the nonautonomous discrete modified Swift-Hohenberg equation ⋮ Statistical solutions and piecewise Liouville theorem for the impulsive reaction-diffusion equations on infinite lattices ⋮ Statistical solution and Kolmogorov entropy for the impulsive discrete Klein-Gordon-Schrödinger-type equations

Cites Work

• Unnamed Item
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• On differential equations with delay in Banach spaces and attractors for retarded lattice dynamical systems
• Uniform attractor of the non-autonomous discrete Selkov model
• Long time behavior of the solutions for the dissipative modified Zakharov equations for plasmas with a quantum correction
• Existence of weak solution for quantum Zakharov equations for plasmas model
• Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities
• Global attractor and Kolmogorov entropy of three component reversible Gray-Scott model on infinite lattices
• Invariant measures for non-autonomous dissipative dynamical systems
• Finite dimensionality and upper semicontinuity of kernel sections for the discrete Zakharov equations
• Random exponential attractor for cocycle and application to non-autonomous stochastic lattice systems with multiplicative white noise
• Invariant measures for dissipative systems and generalised Banach limits
• Random attractors for stochastic lattice dynamical systems in weighted spaces
• Uniform exponential attractors for first order non-autonomous lattice dynamical systems
• Invariant measures for dissipative dynamical systems: abstract results and applications
• Dynamics of systems on infinite lattices
• Kernel sections for processes and nonautonomous lattice systems
• Upper semi-continuity of stationary statistical properties of dissipative systems
• Attractor for lattice system of dissipative Zakharov equation
• Attractors of reaction diffusion systems on infinite lattices
• Attractors for second order lattice dynamical systems
• Pullback attractors and invariant measures for the non-autonomous globally modified Navier-Stokes equations
• Asymptotic regularity of trajectory attractor and trajectory statistical solution for the 3D globally modified Navier-Stokes equations
• Pullback attractors and invariant measures for discrete Klein-Gordon-Schrödinger equations
• Attractors for first-order dissipative lattice dynamical systems
• Attractors and approximations for lattice dynamical systems
• Exact traveling wave solutions of modified Zakharov equations for plasmas with a quantum correction
• Invariant Borel probability measures for discrete long-wave-short-wave resonance equations
• Pullback attractors for a class of nonlinear lattices with delays
• Dynamics of the discrete coupled nonlinear Schrödinger-Boussinesq equations
• Attractors and dimension of dissipative lattice systems
• Non-autonomous lattice systems with switching effects and delayed recovery
• Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
• THE EXISTENCE OF PULLBACK EXPONENTIAL ATTRACTORS FOR NONAUTONOMOUS DYNAMICAL SYSTEM AND APPLICATIONS TO NONAUTONOMOUS REACTION DIFFUSION EQUATIONS
• PULLBACK EXPONENTIAL ATTRACTORS FOR NONAUTONOMOUS DYNAMICAL SYSTEM IN SPACE OF HIGHER REGULARITY
• ATTRACTORS FOR LATTICE DYNAMICAL SYSTEMS

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