On the 3D Kelvin-Voigt-Brinkman-Forchheimer equations in some unbounded domains

DOI10.1016/j.na.2013.04.014zbMath1281.35072OpenAlexW1970777886MaRDI QIDQ395383

Cung The Anh, Pham Thi Trang

Publication date: 29 January 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2013.04.014

zbMATH Keywords

stabilityweak solutionunbounded domainstationary solutionKelvin-Voigt-Brinkman-Forchheimer equationspullback \(\mathcal D_\sigma\)-attractor

Mathematics Subject Classification ID

Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Navier-Stokes equations (35Q30) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (8)

Global well-posedness of the two-dimensional horizontally filtered simplified Bardina turbulence model on a strip-like region ⋮ Well-posedness and asymptotic behavior of stochastic convective Brinkman-Forchheimer equations perturbed by pure jump noise ⋮ Stabilization estimates for the Brinkman-Forchheimer-Kelvin-Voigt equation backward in time ⋮ Gromov–Hausdorff stability of global attractors for 3D Brinkman–Forchheimer equations ⋮ Asymptotic stability for 3D Brinkman-Forchheimer equation with delay on some unbounded domains ⋮ Asymptotic behavior of the stochastic Kelvin–Voigt–Brinkman–Forchheimer equations ⋮ Global and exponential attractors for the 3D Kelvin-Voigt-Brinkman-Forchheimer equations ⋮ Optimal control of the 3D damped Navier-Stokes-Voigt equations with control constraints

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