Results 91 to 100 of about 2,716 (225)
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
On non-autonomously forced Burgers equation with periodic and Dirichlet boundary conditions
, 2019 We study the non-autonomously forced Burgers equation $$ u_t(x,t) + u(x,t)u_x(x,t) - u_{xx}(x,t) = f(x,t) $$ on the space interval $(0,1)$ with two sets of the boundary conditions: the Dirichlet and periodic ones.
Kalita, Piotr, Zgliczyński, Piotr
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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
wiley +1 more source
Electronic Journal of Differential Equations, 2016 In this article, we establish sufficient conditions on the existence and upper semi-continuity of pullback attractors in some non-initial spaces for non-autonomous random dynamical systems.
Wenqiang Zhao
doaj
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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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
Pullback exponential attractors for a Cahn-Hilliard-Navier-Stokes system in 2D [PDF]
, 2013 Stefano Bosia, Stefania Gatti
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Pullback attractors for a two-phase flow model in an infinite delay case
Advances in Difference Equations, 2017 In this paper we study the existence of solutions for a coupled Allen-Cahn-Navier-Stokes model in two dimensions with an external force containing infinite delay effects in the weighted space C δ ( Y ) $C_{\delta }( \mathbb{Y})$ .
Min Yang
doaj +1 more source
Random dynamics of dispersive-dissipative wave equations driven by nonlinear colored noise
Journal of Inequalities and ApplicationsThis paper is devoted to the asymptotic behavior of solutions to a class of non-autonomous random dispersive-dissipative wave equations driven by nonlinear colored noise defined on unbounded domains.
Wenjun Ma, Qiaozhen Ma
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