On global in time dynamics of a planar Bingham flow subject to a subdifferential boundary condition

DOI10.3934/dcds.2014.34.3969zbMath1299.76087OpenAlexW2328699227MaRDI QIDQ476463

Grzegorz Łukaszewicz, Mahdi Boukrouche

Publication date: 2 December 2014

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2014.34.3969

zbMATH Keywords

global attractorupper semicontinuityexponential attractorBingham flowsubdifferential boundary condition

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Variational methods applied to problems in fluid mechanics (76M30) Dynamical systems approach to turbulence (76F20) Stability and instability of geophysical and astrophysical flows (76E20)

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Cites Work

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• On pullback attractors for a class of two-dimensional turbulent shear flows
• Navier-Stokes problems modeled by evolution hemivariational inequalities
• Infinite-dimensional dynamical systems in mechanics and physics.
• Large time behavior via the method of \(\ell\)-trajectories
• An upper bound on the attractor dimension of a 2D turbulent shear flow in lubrication theory
• A finite-dimensional attractor for three-dimensional flow of incompressible fluids
• On the existence of an exponential attractor for a planar shear flow with the Tresca friction condition
• Finite-dimensional global and exponential attractors for the reaction–diffusion problem with an obstacle potential
• Uniform attractors of dynamical processes and non-autonomous equations of mathematical physics
• ON THE CORRECTNESS OF BOUNDARY VALUE PROBLEMS IN THE MECHANICS OF CONTINUOUS MEDIA