Attractors for nonautonomous 2D Navier–Stokes equations with less regular normal forces☆

By Songsong Lu. 2006

63 citations recorded by the source corpus.

Abstract First, the existence and structure of uniform attractors in H is proved for nonautonomous 2D Navier–Stokes equations on bounded domain with a new class of distribution forces, termed normal in L loc 2 ( R ; V ′ ) (see Definition 3.1), which are translation bounded but not translation compact in L loc 2 ( R ; V ′ ) . Then, the properties of the kernel section are investigated. Last, the fractal dimension is estimated for the kernel sections of the uniform attractors obtained.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/ddce6d0e943489062cb5086309f77853ddaad1d3

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In Applied Mathematics

In Computational Theory and Mathematics

In Control and Systems Engineering

Citations in the corpus

Chapter 3 Attractors for Dissipative Partial Differential Equations in Bounded and Unbounded Domains (2008, background): “, that Σ is compact in Θ (see however [147,149], and [151] in which the translation compactness is relaxed; more precisely, one considers classes of time dependences which are translation bounded (i.”
Trajectory attractors for binary fluid mixtures in 3D (2010, methodology): “In the 2D case, thanks to uniqueness, the trajectories can be described through a family of processes {Ug,K(t, τ)} acting on the phase-space YK , with symbol g in the hull of some given g0 ∈ Lb(R+;V) (see [49, 50] for possible generalizations).”