Results 41 to 50 of about 61,413 (290)
Diagnostics, 2021 Cardiac transplant-related vasculopathy remains a leading cause of morbidity and mortality in heart transplant (HTx) recipients. Recently, coronary angiography-derived vessel fractional flow reserve (vFFR) has emerged as a new diagnostic computational ...
Niya Mileva +13 more
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Time-dependent attractors for non-autonomous nonlocal reaction-diffusion equations [PDF]
, 2018 In this paper, the existence and uniqueness of weak and strong solutions for a non-autonomous nonlocal reaction-diffusion equation is proved. Next, the existence of minimal pullback attractors in the L2 -norm in the frameworks of universes of fixed ...
Caraballo Garrido, Tomás +2 more
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Pullback Bundles and the Geometry of Learning
Entropy, 2023 Explainable Artificial Intelligence (XAI) and acceptable artificial intelligence are active topics of research in machine learning. For critical applications, being able to prove or at least to ensure with a high probability the correctness of algorithms is of utmost importance. In practice, however, few theoretical tools are known that can be used for
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Pullback D-Attractor of Coupled Rod Equations with Nonlinear Moving Heat Source
Journal of Applied Mathematics, 2014 We consider the pullback D-attractor for the nonautonomous nonlinear equations of thermoelastic coupled rod with a nonlinear moving heat source. By Galerkin method, the existence and uniqueness of global solutions are proved under homogeneous boundary ...
Danxia Wang, Jianwen Zhang, Yinzhu Wang
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Pullback attractors for non-autonomous 2D-Navier-Stokes equations in some unbounded domains [PDF]
, 2006 In this Note we first introduce the concept of pullback asymptotic compactness. Next, we establish a result ensuring the existence of a pullback attractor for a non-autonomous dynamical system under the general assumptions of pullback asymptotic ...
Caraballo Garrido, Tomás +2 more
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Rocky Mountain Journal of Mathematics, 1992 Le résultat principal peut s'énoncer ainsi: \(S\) et \(T\) sont deux espaces compacts, \(\alpha: S\to T\) une application continue, \(\varphi: F\to T\) un fibré de Banach, \(\pi: E\to S\) son obstruction par \(\alpha\), \(K\) l'enveloppe linéaire fermée dans \(C(S)\widehat{\widehat\otimes} \Gamma(\rho)\) de l'ensemble des éléments de la forme \((g\cdot
Kitchen, J.W., Robbins, D.A.
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Robustness of time-dependent attractors in H1-norm for nonlocal problems [PDF]
, 2018 In this paper, the existence of regular pullback attractors as well as their upper semicontinuous behaviour in H1-norm are analysed for a parameterized family of non-autonomous nonlocal reaction-diffusion equations without uniqueness, improving previous ...
Caraballo Garrido, Tomás +2 more
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Extensions and Pullbacks in QB-Rings [PDF]
Algebras and Representation Theory, 2005 20 ...
Ara, Pere +2 more
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Abstract and Applied Analysis, 2013 We consider the existence of -pullback attractor for nonautonomous primitive equations of large-scale ocean and atmosphere dynamics in a three-dimensional bounded cylindrical domain by verifying pullback condition.
Kun Li, Fang Li
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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
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