On the dimension of the attractor for a perturbed 3D Ladyzhenskaya model

DOI10.2478/s11533-013-0242-8zbMath1358.35130OpenAlexW2143450543MaRDI QIDQ1955611

Josef Žabenský, Dalibor Pražák

Publication date: 14 June 2013

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-013-0242-8

zbMATH Keywords

Lyapunov exponentsfractal dimensionexponential attractorLadyzhenskaya fluid

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Non-Newtonian fluids (76A05) Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Singular perturbations in context of PDEs (35B25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (max. 100)

Pullback attractors for non-Newtonian fluids with shear dependent viscosity ⋮ Nonlinear dynamical analysis for globally modified incompressible non-Newtonian fluids

Cites Work

• The dimension of the attractor for the 3D flow of a non-Newtonian fluid
• Infinite-dimensional dynamical systems in mechanics and physics.
• Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations
• On uniqueness and time regularity of flows of power-law like non-Newtonian fluids
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