Articles with "continuity equation" as a keyword



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TAVR outcome after reclassification of aortic valve stenosis by using a hybrid continuity equation that combines computed tomography and echocardiography data

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Published in 2020 at "Catheterization and Cardiovascular Interventions"

DOI: 10.1002/ccd.28852

Abstract: In the continuity equation, assumption of a round‐shaped left ventricular outflow tract (LVOT) leads to underestimation of the true aortic valve area in two‐dimensional echocardiography. The current study evaluated whether inclusion of the LVOT area,… read more here.

Keywords: computed tomography; aortic valve; echocardiography; continuity equation ... See more keywords

Time in quantum mechanics: A fresh look at the continuity equation

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Published in 2018 at "Physical Review A"

DOI: 10.1103/physreva.98.052113

Abstract: The local conservation of a physical quantity whose distribution changes with time is mathematically described by the continuity equation. The corresponding time parameter, however, is defined with respect to an idealized classical clock. We consider… read more here.

Keywords: continuity equation; time; equation; clock ... See more keywords
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Calculation of Aortic VAlve and LVOT Areas by a Modified Continuity Equation Using Different Echocardiography Methods: The CAVALIER Study

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Published in 2022 at "Diagnostics"

DOI: 10.3390/diagnostics12071656

Abstract: Background: The area of the left ventricular outflow tract (ALVOT) represents a major component of the continuity equation (CE), which is, i.a., crucial to calculate the aortic valve (AV) area (AAV). The ALVOT is typically… read more here.

Keywords: aortic valve; continuity equation; alvot; volume mpr ... See more keywords
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Euler’s Equation of Continuity: Additional Terms of High Order of Smallness—An Overview

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Published in 2021 at "Fluids"

DOI: 10.3390/fluids6040162

Abstract: Professor N.E. Zhukovsky was a famous Russian mechanic and engineer. In 1876 he defended his master’s thesis at Moscow University. At a careful reading of N.E. Zhukovsky’s master’s thesis in 1997, V.A. Bubnov—a professor at… read more here.

Keywords: continuity equation; order; order smallness; equation ... See more keywords
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Neural ODE Control for Trajectory Approximation of Continuity Equation

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Published in 2022 at "IEEE Control Systems Letters"

DOI: 10.48550/arxiv.2205.09241

Abstract: We consider the controllability problem for the continuity equation, corresponding to neural ordinary differential equations (ODEs), which describes how a probability measure is pushedforward by the flow. We show that the controlled continuity equation has… read more here.

Keywords: continuity equation; neural ode; control; continuity ... See more keywords
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Horizontal electric fields from flow of auroral O+(2P) ions at sub-second resolution

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Published in 2020 at "Annales Geophysicae"

DOI: 10.5194/angeo-2020-11

Abstract: Abstract. Electric fields are a ubiquitous feature of the ionosphere and are intimately linked with aurora through particle precipitation and field-aligned currents. We present a unique method to estimate ionospheric electric fields beside a dynamic… read more here.

Keywords: resolution; continuity equation; feature; electric fields ... See more keywords
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Horizontal electric fields from flow of auroral O+(2P) ions at sub-second temporal resolution

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Published in 2020 at "Annales Geophysicae"

DOI: 10.5194/angeo-38-845-2020

Abstract: Abstract. Electric fields are a ubiquitous feature of the ionosphere and are intimately linked with aurora through particle precipitation and field-aligned currents. They exhibit order-of-magnitude changes on temporal and spatial scales of seconds and kilometres… read more here.

Keywords: continuity equation; fields flow; temporal resolution; horizontal electric ... See more keywords