Pulmonary Circulation, Volume 15, Issue 4, October 2025.ABSTRACT Pulmonary artery wedge pressure is a crucial measurement for differentiating between hemodynamic categories of pulmonary hypertension (PH), particularly Groups 1 and 2. In this prospective study, we analyzed the diagnostic utility of checking wedge oxygen saturation to confirm wedge position during right heart catheterization in patients ...
Ambalavanan Arunachalam +7 more
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Sensitivity Analyses for Missing in Repeatedly Measured Outcome Data
Statistics in Medicine, Volume 44, Issue 23-24, October 2025.ABSTRACT We discuss practical aspects of conducting sensitivity analyses for missing data with a repeatedly measured outcome. Our motivation is a SMART trial with a repeatedly measured outcome subject to missingness. We discuss and describe delta‐based controlled imputation approaches to conducting sensitivity analyses for such trials that typically ...
James F. Troendle +3 more
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The Pullback Attractors for the Nonautonomous Camassa‐Holm Equations [PDF]
Mathematical Problems in Engineering, 2009 We consider the pullback attractors for the three‐dimensional nonautonomous Camassa‐Holm equations in the periodic box Ω = [0, L] 3. Assuming , which is translation bounded, the existence of the pullback attractor for the three‐dimensional nonautonomous Camassa‐Holm system is proved in D(A1/2) and D(A).
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Periodic Random Attractors for Stochastic Navier-Stokes Equations on Unbounded Domains
, 2012 This paper is concerned with the asymptotic behavior of solutions of the two-dimensional Navier-Stokes equations with both non-autonomous deterministic and stochastic terms defined on unbounded domains.
Wang, Bixiang
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Invariant manifolds as pullback attractors of nonautonomous differential equations
Discrete & Continuous Dynamical Systems - A, 2005 We discuss the relationship between invariant manifolds of nonautonomous differential equations and pullback attractors. This relationship is essential, e.g., for the numerical approximation of these manifolds. In the first step, we show that the unstable manifold is the pullback attractor of the differential equation.
Aulbach, Bernd +2 more
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Climate dynamics and fluid mechanics: Natural variability and related uncertainties
, 2010 The purpose of this review-and-research paper is twofold: (i) to review the role played in climate dynamics by fluid-dynamical models; and (ii) to contribute to the understanding and reduction of the uncertainties in future climate-change projections. To
Allen +113 more
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Pullback attractors for generalized Korteweg–de Vries–Burgers equations
Journal of Mathematical Analysis and Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anh, Cung The, Bao, Tang Quoc
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Focus point on uncertainty quantification of modeling and simulation in physics and related areas: from theoretical to computational techniques. [PDF]
Eur Phys J Plus, 2023 Cortés JC, Caraballo T, Pinto CMA.
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Pullback Attractors of Nonautonomous and Stochastic Multivalued Dynamical Systems
Set-Valued Analysis, 2003 In this paper we study the existence of pullback global attractors for multivalued processes generated by differential inclusions. First, we define multivalued dynamical processes, prove abstract results on the existence of !-limit sets and global attractors and study their topological properties (compactness, conectedness).
Caraballo Garrido, Tomás +3 more
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Forward and Pullback Dynamics of Nonautonomous Integrodifference Equations: Basic Constructions. [PDF]
J Dyn Differ Equ, 2022 Huynh H, Kloeden PE, Pötzsche C.
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