Results 131 to 140 of about 4,970,219 (372)
Global Attractor for Partial Functional Differential Equations with State-Dependent Delay
Abstract and Applied Analysis, 2013 This work aims to investigate the existence of global attractors for a class of partial functional differential equations with state-dependent delay. Using the classic theory about global attractors in infinite dimensional dynamical systems, we obtain ...
Zhimin He, Bo Du
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Dimension Estimate for the Global Attractor of an Evolution Equation
, 2012 We estimate the dimension of the global attractor of an evolution equation by the study of the evolution of the n-dimensional volumes under the flow. We compare these results with the estimate of the dimension of the inertial manifold.
R. Colucci, G. Chacón
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Correlation Between Irisin and Cognitive Functions in Alzheimer Dementia
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective The myokine irisin, a recent positive mediator of exercise in the brain, shows neuroprotective functions against Alzheimer's disease (AD). The association between irisin and cognition has never been explored in a biologically defined cohort of patients.
Patrizia Pignataro +12 more
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Global dynamics of a fourth-order parabolic equation describing crystal surface growth
Nonlinear Analysis, 2019 In this paper, we study the global dynamics for the solution semiflow of a fourth-order parabolic equation describing crystal surface growth. We show that the equation has a global attractor in H4per(Ω) when the initial value belongs to H1per(Ω).
Ning Duan, Xianyun Xu
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Purpose This study aimed to explore the association between quantitative shape irregularity and density heterogeneity of hematomas and hematoma expansion (HE) for intracerebral hemorrhage (ICH) patients. Methods This cohort study included patients arriving within 24 h of symptom onset between August 2021 and July 2022 as the derivation cohort ...
Zeqiang Ji +11 more
wiley +1 more source
Time-Dependent Global Attractor for a Class of Nonclassical Parabolic Equations
Journal of Applied Mathematics, 2014 Based on the recent theory of time-dependent global attractors in the works of Conti et al. (2013) and di Plinio et al. (2011), we prove the existence of time-dependent global attractors as well as the regularity of the time-dependent global attractor ...
Fang-hong Zhang
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Arthritis Care &Research, EarlyView.Objective Pediatric rheumatologic diseases (PRDs) are characterized by high rates of anxiety and depression known to impact health‐related outcomes. We present guidance statements to assess and manage mental health concerns for youth with PRDs in pediatric rheumatology practice.
Natoshia R. Cunningham +21 more
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Existence and regularity of a global attractor for doubly nonlinear parabolic equations
Electronic Journal of Differential Equations, 2002 In this paper we consider a doubly nonlinear parabolic partial differential equation $$ frac{partial eta (u)}{partial t}-Delta _{p}u+f(x,t,u)=0 quad hbox{in }Omega imesmathbb{R}^{+}, $$ with Dirichlet boundary condition and initial data given.
Abderrahmane El Hachimi, Hamid El Ouardi
doaj
Global attractor for the Cahn-Hilliard system [PDF]
, 1994 Jan W. Cholewa, Tomasz Dłotko
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A global attractor for a fluid--plate interaction model
, 2011 We study asymptotic dynamics of a coupled system consisting of linearized 3D Navier--Stokes equations in a bounded domain and a classical (nonlinear) elastic plate equation for transversal displacement on a flexible flat part of the boundary.
I. Chueshov, I. Ryzhkova
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