2019
DOI: 10.1080/07362994.2019.1646138
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Deterministic and stochastic equations of motion arising in Oldroyd fluids of order one: existence, uniqueness, exponential stability and invariant measures

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Cited by 26 publications
(17 citation statements)
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“…In this section, we examine some asymptotic behavior of the problem (42) and establish stability results for the steady state solution corresponding to the system (42). Similar results for the 2D Navier-Stokes equations and 2D Oldroyd models in H are established in [41,26], respectively, and for the 2D tidal dynamics system is proved in [25]. For the exponential stability results regarding the abstract Kelvin-Voigt equations or Oskolkov models, the interested readers are referred to see [32].…”
Section: A Calculation Similar To Above Also Shows That F(•)mentioning
confidence: 80%
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“…In this section, we examine some asymptotic behavior of the problem (42) and establish stability results for the steady state solution corresponding to the system (42). Similar results for the 2D Navier-Stokes equations and 2D Oldroyd models in H are established in [41,26], respectively, and for the 2D tidal dynamics system is proved in [25]. For the exponential stability results regarding the abstract Kelvin-Voigt equations or Oskolkov models, the interested readers are referred to see [32].…”
Section: A Calculation Similar To Above Also Shows That F(•)mentioning
confidence: 80%
“…Several authors have used this method to prove global solvability results of various models (cf. [13,30,28,29,26], etc.) 3.1.…”
Section: Remarkmentioning
confidence: 99%
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