Strong convergence of trajectory attractors for reaction-diffusion systems with random rapidly oscillating terms

DOI10.3934/cpaa.2020106zbMath1435.35072OpenAlexW3009377748MaRDI QIDQ2308254

Kuanysh A. Bekmaganbetov, Vladimir V. Chepyzhov, Gregory A. Chechkin

Publication date: 26 March 2020

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2020106

zbMATH Keywords

random homogenizationtrajectory attractorsaveraged reaction-diffusion system

Mathematics Subject Classification ID

Attractors (35B41) Initial-boundary value problems for second-order parabolic equations (35K20) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) PDEs with randomness, stochastic partial differential equations (35R60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Semilinear parabolic equations (35K58)

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Cites Work

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• A minimal approach to the theory of global attractors
• Homogenization of trajectory attractors of 3D Navier-Stokes system with randomly oscillating force
• Strong trajectory attractor for a dissipative reaction-diffusion system
• Boundary homogenization in domains with randomly oscillating boundary
• Homogenization of partial differential equations. Translated from the original Russian by M. Goncharenko and D. Shepelsky
• Integral manifolds and attractors with exponential rate for nonautonomous hyperbolic equations with dissipation
• Attractors of dissipative hyperbolic equations with singularly oscillating external forces
• Averaging of nonautonomous damped wave equations with singularly oscillating external forces
• Homogenization of 3D thick cascade junction with a random transmission zone periodic in one direction
• Homogenization in domains randomly perforated along the boundary
• Homogenization techniques for composite media. Lectures delivered at the CISM, International Center for Mechanical Sciences, Udine, Italy, July 1- 5, 1985
• Averaging in infinite dimensions
• A note on the strong convergence towards attractors of damped forced KdV equations
• Infinite-dimensional dynamical systems in mechanics and physics.
• Trajectory attractors for reaction-diffusion systems
• Evolution equations and their trajectory attractors
• The regular attractor for the reaction-diffusion system with a nonlinearity rapidly oscillating in time and its averaging
• Global attractors for damped semilinear wave equations.
• Homogenization of trajectory attractors of Ginzburg-Landau equations with randomly oscillating terms
• Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
• On non-autonomous sine-Gordon type equations with a simple global attractor and some averaging
• Attractors of the reaction-diffusion systems with rapidly oscillating coefficients and their homo\-genization.
• Non-autonomous 2D Navier-Stokes system with singularly oscillating external force and its global attractor
• Averaging of trajectory attractors of evolution equations with rapidly oscillating terms
• Nematodynamics and random homogenization
• Trajectory attractors of equations of mathematical physics
• Averaging of Attractors and Inertial Manifolds for Parabolic PDE With Random Coefficients
• Global averaging and parametric resonances in damped semilinear wave equations
• Averaging of 2D Navier–Stokes equations with singularly oscillating forces
• Asymptotic analysis of a boundary-value problem in a cascade thick junction with a random transmission zone
• Attractors for non-compact semigroups via energy equations
• Averaging principle for dissipative dynamical systems with rapidly oscillating right-hand sides
• The global attractor for the 2D Navier-Stokes flow on some unbounded domains
• Non-autonomous 2D Navier–Stokes system with a simple global attractor and some averaging problems
• Approximation of trajectories lying on a global attractor of a hyperbolic equation with exterior force rapidly oscillating in time
• Homogenization of attractors of non-linear hyperbolic equations with asymptotically degenerate coefficients
• On the rate of convergence of solutions in domain with random multilevel oscillating boundary
• Non-autonomous Ginzburg-Landau equation and its attractors
• Quantitative homogenization of analytic semigroups and reaction-diffusion equations with Diophantine spatial frequencies.

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