Upper Semicontinuous Trajectory Attractors for 3D Hyperviscous Flow

Younsi, Abdelhafid

doi:10.1007/s00009-014-0406-1

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2014

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For the upper semicontinuity of corresponding attractors between autonomous and perturb nonautonomous systems, we can refer to Bao [ 25 ], Hale and Raugel [ 26 ], Carvalho et al [ 27 ], Caraballo and Langa [ 28 ], Caraballo et al [ 29 ], Fitzgibbon et al [ 30 ], Kloeden [ 31 ], Miyamoto [ 32 ], Wang and Qin [ 33 ], Younsi [ 34 ], Wang [ 35 ], and Zhou [ 36 ].…”

Section: Introductionmentioning

confidence: 99%

Upper Semicontinuity of Pullback Attractors for the 3D Nonautonomous Benjamin-Bona-Mahony Equations

Yang

Wang

et al. 2014

The Scientific World Journal

View full text Add to dashboard Cite

We will study the upper semicontinuity of pullback attractors for the 3D nonautonomouss Benjamin-Bona-Mahony equations with external force perturbation terms. Under some regular assumptions, we can prove the pullback attractors 𝒜 ε(t) of equation ut-normalΔut-νnormalΔu+∇·trueF→false(ufalse)=normalɛgfalse(x,tfalse), x ∈ Ω, converge to the global attractor 𝒜 of the above-mentioned equation with ε = 0 for any t ∈ ℝ.

show abstract