The fractal dimension of pullback attractors for the 2D Navier–Stokes equations with delay
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6634
Abstract: This paper is concerned with the bounded fractal and Hausdorff dimension of the pullback attractors for 2D nonautonomous incompressible Navier‐Stokes equations with constant delay terms. Using the construction of trace formula with two bases for… read more here.
Keywords: navier stokes; pullback attractors; dimension pullback; dimension ... See more keywords
Pullback Attractors for a Damped Semilinear Wave Equation with Delays
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DOI: 10.1007/s10114-018-7420-3
Abstract: In this paper, we consider the weakly damped wave equations with hereditary effects, and the nonlinearity f satisfies critical growth. The delay term g(t, ut) may be driven by a function with very weak assumptions,… read more here.
Keywords: semilinear wave; pullback attractors; attractors damped; damped semilinear ... See more keywords
Continuity of pullback attractors for evolution processes associated with semilinear damped wave equations with time-dependent coefficients
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DOI: 10.1016/j.jde.2021.06.036
Abstract: Abstract In this paper we consider the semilinear damped wave problem of the form { ( α ( t ) u t ) t − β ( t ) Δ u + γ ( t… read more here.
Keywords: processes associated; semilinear damped; evolution processes; pullback attractors ... See more keywords
Regularity of pullback attractors for non-autonomous stochastic coupled reaction-diffusion systems
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DOI: 10.11948/2017056
Abstract: We consider the dynamical behavior of the typical non-autonomous autocatalytic stochastic coupled reaction-diffusion systems on the entire space R. Some new uniform asymptotic estimates are implemented to investigate the existence of pullback attractors in the… read more here.
Keywords: non autonomous; diffusion systems; coupled reaction; reaction diffusion ... See more keywords
Existence, regularity and upper semicontinuity of pullback attractors for the evolution process associated to a neural field model
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DOI: 10.14232/ejqtde.2017.1.41
Abstract: In this work we study the pullback dynamics of a class of nonlocal nonautonomous evolution equations for neural fields in a bounded smooth domain Ω in RN ∂tu(t, x) = −u(t, x) + ∫ RN… read more here.
Keywords: regularity upper; attractors evolution; upper semicontinuity; pullback attractors ... See more keywords
Pullback attractors for 2D Navier–Stokes equations with delays and the flattening property
Sign Up to like & getrecommendations! Published in 2020 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2020094
Abstract: This paper treats the existence of pullback attractors for a 2D Navier–Stokes model with finite delay formulated in [Caraballo and Real, J. Differential Equations 205 (2004), 271–297]. Actually, we carry out our study under less… read more here.
Keywords: pullback; attractors navier; pullback attractors; navier stokes ... See more keywords