Results 51 to 60 of about 206 (175)
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
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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
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Circle packings, renormalizations, and subdivision rules
Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract In this paper, we use iterations of skinning maps on Teichmüller spaces to study circle packings and develop a renormalization theory for circle packings whose nerves satisfy certain subdivision rules. We characterize when the skinning map has bounded image.
Yusheng Luo, Yongquan Zhang
wiley +1 more source
On the Dynamics of Abstract Retarded Evolution Equations
Abstract and Applied Analysis, 2013 This paper is concerned with the dynamics of the following abstract retarded evolution equation: in a Hilbert space , where is a self-adjoint positive-definite operator with compact resolvent and is a locally Lipschitz continuous mapping.
Desheng Li, Jinying Wei, Jintao Wang
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Engineered Optical Fibers for Deep‐Tissue Applications
Advanced Optical Materials, Volume 14, Issue 10, 13 March 2026.This review establishes a foundational framework for designing optical fibers for deep‐tissue medicine. It systematically links material innovations like polymers and hydrogels with structural paradigms to enable state‐of‐the‐art diagnostics, including endoscopy and biosensing, and targeted therapeutics, guiding future clinical translation.
Yuzhen Li +16 more
wiley +1 more source
On the Dimension of the Pullback Attractors for g‐Navier‐Stokes Equations [PDF]
Discrete Dynamics in Nature and Society, 2010 We consider the asymptotic behaviour of nonautonomous 2D g‐Navier‐Stokes equations in bounded domain Ω. Assuming that , which is translation bounded, the existence of the pullback attractor is proved in L2(Ω) and H1(Ω). It is proved that the fractal dimension of the pullback attractor is finite.
openaire +3 more sources
Equivariant toric geometry and Euler–Maclaurin formulae
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
wiley +1 more source
Invariant manifolds as pullback attractors of nonautonomous differential equations
Discrete and Continuous Dynamical Systems, 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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Fractal Dimension for the Nonautonomous Stochastic Fifth-Order Swift–Hohenberg Equation
Complexity, 2020 Some dynamics behaviors for the nonautonomous stochastic fifth-order Swift–Hohenberg equation with additive white noise are considered. The existence of pullback random attractors for the nonautonomous stochastic fifth-order Swift–Hohenberg equation with
Yanfeng Guo, Chunxiao Guo, Yongping Xi
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Nonautonomous attractors of skew-product flows with digitized driving systems
Electronic Journal of Differential Equations, 2001 The upper semicontinuity and continuity properties of pullback attractors for nonautonomous differential equations are investigated when the driving system of the generated skew-product flow is digitized.
R. A. Johnson, Peter E. Kloeden
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