$$\rho $$ρ-White noise solution to 2D stochastic Euler equations
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DOI: 10.1007/s00440-019-00902-8
Abstract: A stochastic version of 2D Euler equations with transport type noise in the vorticity is considered, in the framework of Albeverio–Cruzeiro theory (Commun Math Phys 129:431–444, 1990) where the equation is considered with random initial… read more here.
Keywords: euler; euler equations; rho white; equation ... See more keywords
Scalar conservation laws with white noise initial data
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DOI: 10.1007/s00440-021-01083-z
Abstract: The statistical description of the scalar conservation law of the form $\rho_t=H(\rho)_x$ with $H: \mathbb{R} \rightarrow \mathbb{R}$ a smooth convex function has been an object of interest when the initial profile $\rho(\cdot,0)$ is random. The… read more here.
Keywords: conservation laws; laws white; scalar conservation; white noise ... See more keywords
Stochastic P-bifurcation of fractional derivative Van der Pol system excited by Gaussian white noise
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DOI: 10.1007/s12648-018-1231-3
Abstract: This paper aimed to investigate the stochastic P-bifurcation of Van der Pol oscillator with a fractional derivative damping term driven by Gaussian white noise excitation. Firstly, based on the method of stochastic averaging method and… read more here.
Keywords: van der; stochastic bifurcation; white noise; gaussian white ... See more keywords
Quantum White Noise Stochastic Analysis Based on Nuclear Algebras of Entire Functions
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DOI: 10.1007/s40840-020-00967-y
Abstract: In this paper, we introduce a space of $$\theta $$ -admissible distributions denoted by $${\mathcal {A}}_\theta ^*$$ as well as the notion of $$\theta $$ -admissible operators. We study the regularity properties of the classical… read more here.
Keywords: mathcal theta; conditional expectation; theta; quantum white ... See more keywords
White noise differential equations for vector-valued white noise functionals
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DOI: 10.1007/s43037-020-00088-5
Abstract: In this paper, a framework of vector-valued white noise functionals has been constructed as a Gel’fand triple $${\mathcal {W}}_{\alpha }\otimes {\mathcal {E}} \subset \varGamma (H)\otimes K \subset ( {\mathcal {W}}_{\alpha }\otimes {\mathcal {E}})^*$$ . Base… read more here.
Keywords: vector valued; noise; noise functionals; white noise ... See more keywords
Topology optimization of continuum structures subjected to filtered white noise stochastic excitations
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DOI: 10.1016/j.cma.2017.06.015
Abstract: Abstract This work addresses the challenge of topology optimization for continuum structures subjected to non-white noise stochastic excitations. The objective is to manipulate the variance of the stochastic dynamic response of a linear continuum structure… read more here.
Keywords: topology; topology optimization; optimization continuum; white noise ... See more keywords
White noise as a possible therapeutic option for children with ADHD.
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DOI: 10.1016/j.ctim.2018.11.012
Abstract: Attention deficit/hyperactivity disorder (ADHD) is a condition that affects many children and adults throughout the world. ADHD symptoms have been associated with changes in catecholamine release. Current therapies for ADHD have a variety of limitations… read more here.
Keywords: noise therapy; noise possible; children adhd; noise ... See more keywords
Acoustic white noise ameliorates reduced regional brain expression of CaMKII and ΔFosB in the spontaneously hypertensive rat model of ADHD
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DOI: 10.1016/j.ibror.2018.11.007
Abstract: Highlights • ΔFosB was reduced in the DL-PFC, DLS and nAc in SH rats.• Acoustic noise normalized ΔFosB expression in the DL-PFC and nAc of SH rats.• CaMKII expression was reduced in the TMN in… read more here.
Keywords: noise ameliorates; fosb; acoustic white; expression ... See more keywords
Association of different neural processes during different emotional perceptions of white noise and pure tone auditory stimuli
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DOI: 10.1016/j.neulet.2017.11.046
Abstract: Sound is a sensory stimulant ubiquitously found throughout our environment. Humans have evolved a system that effectively and automatically converts sound sensory inputs into emotions. Although different emotional responses to sounds with different frequency characteristics… read more here.
Keywords: emotional responses; association different; different emotional; loudness levels ... See more keywords
Comparison the effect of breast milk smell, white noise and facilitated tucking applied to Turkish preterm infants during endotracheal suctioning on pain and physiological parameters.
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DOI: 10.1016/j.pedn.2020.07.001
Abstract: PURPOSE This study aimed to determine the effect of the breast milk smell, white noise and facilitated tucking during endotracheal suctioning (ES) on pain and physiological findings. DESIGN AND METHODS The present study was conducted… read more here.
Keywords: noise facilitated; facilitated tucking; preterm infants; white noise ... See more keywords
Elliptic boundary value problems with Gaussian white noise loads
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DOI: 10.1016/j.spa.2017.11.007
Abstract: Linear second order elliptic boundary value problems (BVP) on bounded Lipschitz domains are studied in the case of Gaussian white noise loads. Especially, Neumann and Robin BVPs are considered. The main obstacle for applying the… read more here.
Keywords: noise loads; boundary value; noise; gaussian white ... See more keywords