Pullback Attractors of Nonautonomous and Stochastic Multivalued Dynamical Systems

By Tomás Caraballo, José A. Langa, Valery S. Melnik, José Valero. 2003

157 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/1f3a95f1d303f09b2e4717355f223d0048d49c3c

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In Applied Mathematics

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Citations in the corpus

Attractors of non-autonomous stochastic lattice systems in weighted spaces (2014, background): “For non-autonomous stochastic PDEs, the existence of random attractors was established in [16, 29] in bounded domains and in [57] on unbounded domains.”
Non--autonomous and random attractors for delay random semilinear equations without uniqueness (2008, background): “[10] to the case in which we consider the family D instead of the bounded sets of X.”
Existence, Stability and Bifurcation of Random Complete and Periodic Solutions of Stochastic Parabolic Equations (2013, background): “The existence of random attractors for such systems has been established in [11, 22, 51].”
Chapter 3 Attractors for Dissipative Partial Differential Equations in Bounded and Unbounded Domains (2008, background): “in the multi-valued setting, see [11,19,23,24,50,158,159,201,208,209], and the references therein; see also [37,141], and [231] for nonautonomous systems.”
Weak pullback attractors for stochastic Navier-Stokes equations with nonlinear diffusion terms (2018, background): “, [1–8,12–14,18–21,24,25,28,30,32,33] for the autonomous stochastic equations and [9, 16, 22, 23, 26, 34] for the nonautonomous stochastic equations.”
Kernel sections and uniform attractors of multi-valued semiprocesses☆ (2007, background): “it seems to be larger than ⋂ T 0 ⋃ t T ⋃ σ∈Σ Uσ (t + τ, τ )V as in [5], however, under the assumption that the family of MVSPs {Uσ (t, τ )}, σ ∈ Σ , is uniformly ω-limit compact, we can prove that μ = ω0,Σ(V) = ωτ,Σ(V) = ⋂”
Asymptotic behavior of random fitzhugh-nagumo systems driven by colored noise (2017, background): “The concept of random attractors was introduced in [18, 21, 44] and further studied in [6, 7, 8, 9, 11, 12, 13, 15, 16, 18, 22, 23, 24, 26, 32, 37, 40, 50, 51] for the autonomous stochastic equations; and in [2, 14, 19, 27, 28, 52, 53, 54] for the non-autonomous stochastic equations.”