Regularity of the global attractor and finite-dimensional behavior for the second grade fluid equations

DOI10.1016/j.jde.2011.10.015zbMath1235.35225OpenAlexW2016625299MaRDI QIDQ765949

Marius Paicu, Geneviève Raugel, Andrey M. Rekalo

Publication date: 22 March 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.10.015

zbMATH Keywords

regularityglobal attractordetermining modessecond grade fluid equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (17)

Grade-two fluids on non-smooth domain driven by multiplicative noise: existence, uniqueness and regularity ⋮ Gevrey class regularity for the global attractor of a two-dimensional non-Newtonian fluid ⋮ Analyticity and gevrey-class regularity for the second-grade fluid equations ⋮ Well-posedness and attractors of the multi-dimensional hyperviscous magnetohydrodynamic equations ⋮ The singular limit of second-grade fluid equations in a 2D exterior domain ⋮ Global existence of solutions for the second grade fluid equations in a thin three-dimensional domain ⋮ Backward controllability of pullback trajectory attractors with applications to multi-valued Jeffreys-Oldroyd equations ⋮ Approximation of a class of incompressible third grade fluids equations ⋮ Viscosity limit and deviations principles for a grade-two fluid driven by multiplicative noise ⋮ Upper and lower bounds of time decay rate of solutions to a class of incompressible third grade fluid equations ⋮ Existence and uniqueness of solutions for the magnetohydrodynamic flow of a second grade fluid ⋮ A modified Poincaré method for the persistence of periodic orbits and applications ⋮ Approximate controllability of second-grade fluids ⋮ In memoriam: Geneviève Raugel ⋮ A Gagliardo-Nirenberg type inequality for rapidly decaying functions ⋮ Global existence of the 3D rotating second grade fluid system ⋮ Global well-posedness of second-grade fluid equations in 2D exterior domain

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