Results 91 to 100 of about 2,525 (234)
Pullback attractors of nonautonomous dynamical systems
Discrete & Continuous Dynamical Systems - A, 2006 We present the necessary and sufficient conditions and a new method to study the existence of pullback attractors of nonautonomous infinite dimensional dynamical systems. For illustrating our method, we apply it to nonautonomous 2D Navier-Stokes systems.
Yejuan Wang +2 more
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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
wiley +1 more source
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
wiley +1 more source
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
openaire +2 more sources
Holomorphic field theories and higher algebra
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley +1 more source
Criteria for strong and weak random attractors
, 2008 The theory of random attractors has different notions of attraction, amongst them pullback attraction and weak attraction. We investigate necessary and sufficient conditions for the existence of pullback attractors as well as of weak ...
B. Schmalfuß +19 more
core +1 more source
Pullback exponential attractors for a Cahn-Hilliard-Navier-Stokes system in 2D [PDF]
, 2013 Stefano Bosia, Stefania Gatti
openalex +3 more sources
Electronic Journal of Differential Equations, 2016 In this article, we prove the existence of pullback attractor in $C([-h,0];H^1(\mathbb{R}^N))$ for a stochastic nonclassical diffusion equations on unbounded domains with non-autonomous deterministic and stochastic forcing terms, and the pullback ...
Fang-Hong Zhang, Wei Han
doaj
Attractors for non-autonomous retarded lattice dynamical systems
Nonautonomous Dynamical Systems, 2015 In this paperwe study a non-autonomous lattice dynamical system with delay. Under rather general growth and dissipative conditions on the nonlinear term,we define a non-autonomous dynamical system and prove the existence of a pullback attractor for such ...
Caraballo Tomás +2 more
doaj +1 more source
Random attractors for stochastic lattice reversible Gray-Scott systems with additive noise
Electronic Journal of Differential Equations, 2015 In this article, we prove the existence of a random attractor of the stochastic three-component reversible Gray-Scott system on infinite lattice with additive noise.
Hongyan Li, Junyi Tu
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