Open Mathematics, 2023 In this article, we study the existence of mild solutions and the approximate controllability for a class of stochastic elastic systems with structural damping and infinite delay in Hilbert spaces.
Peng Jiankui +3 more
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Spatiotemporally resolved multivariate pattern analysis for M/
Human Brain Mapping, 2021 Abstract An emerging goal in neuroscience is tracking what information is represented in brain activity over time as a participant completes some task. While electroencephalography (EEG) and magnetoencephalography (MEG) offer millisecond temporal resolution of how activity patterns emerge and evolve, standard decoding methods present ...
Higgins, Cameron +5 more
openaire +5 more sources
On non-normality and classification of amplification mechanisms in stability and resolvent analysis [PDF]
, 2017 We seek to quantify non-normality of the most amplified resolvent modes and predict their features based on the characteristics of the base or mean velocity profile.
Dawson, Scott T. M. +3 more
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Nonlinear ordered variational inclusion problem involving XOR operation with fuzzy mappings
Journal of Inequalities and Applications, 2020 In the setting of real ordered positive Hilbert spaces, a nonlinear fuzzy ordered variational inclusion problem with its corresponding nonlinear fuzzy ordered resolvent equation problem involving XOR operation has been recommended and solved by employing
Iqbal Ahmad +3 more
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Some remarks on degenerate hypoelliptic Ornstein-Uhlenbeck operators [PDF]
, 2014 37 pages, 3 figuresInternational audienceWe study degenerate hypoelliptic Ornstein-Uhlenbeck operators in $L^2$ spaces with respect to invariant measures.
Ottobre, M. +2 more
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A second-order resolvent formulation for the analysis of turbulent flow structures
Comptes Rendus. Mécanique, 2023 An attempt to improve the accuracy of resolvent-based predictions by including velocity correlations in the linear model is developed here. Closure assumptions for unresolved nonlinearities are thus pushed back to a higher order.
Chevalier, Quentin +2 more
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Schur functions and their realizations in the slice hyperholomorphic setting [PDF]
, 2011 we start the study of Schur analysis in the quaternionic setting using the theory of slice hyperholomorphic functions. The novelty of our approach is that slice hyperholomorphic functions allows to write realizations in terms of a suitable resolvent, the
A.H. Sayed +52 more
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Nonautonomous Dynamical Systems, 2023 In this work, we investigate the existence of mild solutions in the α\alpha -norm for a class of nonlocal integrodifferential equations. We employ the theory of resolvent operators introduced by R. Grimmer. The Leray-Schauder alternative is the principal
El Matloub Jaouad, Ezzinbi Khalil
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A tale of two airfoils: resolvent-based modelling of an oscillator vs. an amplifier from an experimental mean [PDF]
, 2019 The flows around a NACA 0018 airfoil at a Reynolds number of 10250 and angles of attack of alpha = 0 (A0) and alpha = 10 (A10) are modelled using resolvent analysis and limited experimental measurements obtained from particle image velocimetry.
McKeon, Beverley J. +2 more
core +4 more sources
Bounded, asymptotically stable, and L^{1} solutions of Caputo fractional differential equations [PDF]
Opuscula Mathematica, 2015 The existence of bounded solutions, asymptotically stable solutions, and \(L^1\) solutions of a Caputo fractional differential equation has been studied in this paper.
Muhammad N. Islam
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