Upper Semicontinuity of Trajectory Attractors for 3D Incompressible Navier–Stokes Equation

Upper Semicontinuity of Trajectory Attractors for 3D Incompressible Navier–Stokes Equation

In this paper, we first establish the existence of a trajectory attractor for the Navier–Stokes–Voight (NSV) equation and then prove upper semicontinuity of trajectory attractors of 3D incompressible Navier–Stokes equation when 3D NSV equation is considered as a perturbative equation of 3D incompres...

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Veröffentlicht in:Applied mathematics & optimization 2021-08, Vol.84 (1), p.1-18
Hauptverfasser: Qin, Yuming, Wang, Xiuqing
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Banach spaces
Calculus of Variations and Optimal Control
Optimization
Control
Fluid dynamics
Fluid flow
Mathematical and Computational Physics
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Navier-Stokes equations
Numerical and Computational Physics
Optimization
Simulation
Systems Theory
Theoretical
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Beschreibung
Zusammenfassung:In this paper, we first establish the existence of a trajectory attractor for the Navier–Stokes–Voight (NSV) equation and then prove upper semicontinuity of trajectory attractors of 3D incompressible Navier–Stokes equation when 3D NSV equation is considered as a perturbative equation of 3D incompressible Navier–Stokes equation.
ISSN:0095-4616
1432-0606
DOI:10.1007/s00245-019-09625-7