Results 1 to 10 of about 22,026,600 (288)
An invitation to resolvent analysis [PDF]
Theoretical and Computational Fluid DynamicsAbstractResolvent analysis is a powerful tool that can reveal the linear amplification mechanisms between the forcing inputs and the response outputs about a base flow. These mechanisms can be revealed in terms of a pair of forcing and response modes and the associated energy gains (amplification magnitude) at a given frequency. The linear relationship
Kunihiko Taira, Chi-An Yeh
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An analysis on the approximate controllability of neutral impulsive stochastic integrodifferential inclusions via resolvent operators [PDF]
Heliyon, 2023 This article focuses on the approximate controllability of impulsive neutral stochastic integrodifferential inclusions in Hilbert spaces. We used resolvent operators, fixed point approaches, and semigroup theory to achieve the article's main results ...
Yong-Ki Ma +4 more
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Variational formulation of resolvent analysis [PDF]
Physical Review Fluids, 2022 The conceptual picture underlying resolvent analysis(RA) is that the nonlinear term in the Navier-Stokes(NS) equations provides an intrinsic forcing to the linear dynamics, a description inspired by control theory. The inverse of the linear operator, defined as the resolvent, is interpreted as a transfer function between the forcing and the velocity ...
Benedikt Barthel +2 more
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Fluids, 2021 The response of a compliant surface in a turbulent boundary layer forced by a dynamic roughness is studied using experiments and resolvent analysis. Water tunnel experiments are carried out at a friction Reynolds number of Reτ≈410, with flow and surface ...
David P. Huynh +2 more
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Data-driven resolvent analysis [PDF]
Journal of Fluid Mechanics, 2021 Abstract
Benjamin Herrmann +4 more
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A Complete Review of the General Quartic Equation with Real Coefficients and Multiple Roots
Mathematics, 2022 This paper presents a general analysis of all the quartic equations with real coefficients and multiple roots; this analysis revealed some unknown formulae to solve each kind of these equations and some precisions about the relation between these ones ...
Mauricio Chávez-Pichardo +4 more
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On generalized Yosida inclusion problem with application
Results in Control and Optimization, 2023 Herein, a generalized Yosida inclusion problem involving Φ-relaxed co-accretive mapping is investigated. The resolvent and analogous generalized Yosida approximation operator is explicated and its characteristics are outlined.
Mohammad Akram
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Fractal and Fractional, 2022 This article primarily focuses on the approximate controllability of fractional semilinear integrodifferential equations using resolvent operators. Two alternative sets of necessary requirements have been studied.
Velusamy Vijayakumar +6 more
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Mathematics, 2023 In order to propose a deeper analysis of the general quartic equation with real coefficients, the analytical solutions for all cubic and quartic equations were reviewed here; then, it was found that there can only be one form of the resolvent cubic that ...
Mauricio Chávez-Pichardo +4 more
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Time-resolved burst variance analysis
Biophysical Reports, 2023 Quantifying biomolecular dynamics has become a major task of single-molecule fluorescence spectroscopy methods. In single-molecule Förster resonance energy transfer (smFRET), kinetic information is extracted from the stream of photons emitted by attached donor and acceptor fluorophores.
Terterov, Ivan +3 more
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