Well-posed Euler model of shock-induced two-phase flow in bubbly liquid
Sign Up to like & getrecommendations! Published in 2018 at "Shock Waves"
DOI: 10.1007/s00193-017-0731-y
Abstract: A well-posed mathematical model of non-isothermal two-phase two-velocity flow of bubbly liquid is proposed. The model is based on the two-phase Euler equations with the introduction of an additional pressure at the gas bubble surface,… read more here.
Keywords: flow bubbly; bubbly liquid; two phase; model ... See more keywords
Well-posed variational formulations of Friedrichs-type systems
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DOI: 10.1016/j.jde.2021.05.002
Abstract: Abstract All finite element methods, as well as much of the Hilbert-space theory for partial differential equations, rely on variational formulations, that is, problems of the type: find u ∈ V such that a (… read more here.
Keywords: variational formulations; space; well posed; friedrichs type ... See more keywords
Experimental use of the inflection point test for force deconvolution in frequency-modulation atomic force microscopy to turn an ill-posed situation into a well-posed one by proper choice of amplitude
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Applied Physics"
DOI: 10.1063/5.0003291
Abstract: Frequency-modulation atomic force microscopy allows one to measure the force between a sharp tip and a sample and, ultimately, the force between two single atoms with outstanding precision. To extract forces from the measured frequency… read more here.
Keywords: microscopy; ill posed; well posed; force ... See more keywords
Well-posed formulation of Lovelock and Horndeski theories
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DOI: 10.1103/physrevd.101.124003
Abstract: We study the initial value problem for Lovelock and Horndeski theories of gravity. We show that the equations of motion of these theories can be written in a form that, at weak coupling, is strongly… read more here.
Keywords: horndeski theories; lovelock horndeski; well posed; posed formulation ... See more keywords
Well-Posed Solvability and the Representation of Solutions of Integro-Differential Equations Arising in Viscoelasticity
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DOI: 10.1134/s0012266119040141
Abstract: For abstract integro-differential equations with unbounded operator coefficients in a Hilbert space, we study the well-posed solvability of initial problems and carry out spectral analysis of the operator functions that are symbols of these equations.… read more here.
Keywords: integro differential; well posed; arising viscoelasticity; differential equations ... See more keywords
Information Is Where You Find It: Perception as an Ecologically Well-Posed Problem
Sign Up to like & getrecommendations! Published in 2021 at "i-Perception"
DOI: 10.1177/20416695211000366
Abstract: Texts on visual perception typically begin with the following premise: Vision is an ill-posed problem, and perception is underdetermined by the available information. If this were really the case, however, it is hard to see… read more here.
Keywords: ecologically well; information; perception; well posed ... See more keywords
Well-Posed Geoscientific Visualization Through Interactive Color Mapping
Sign Up to like & getrecommendations! Published in 2019 at "Frontiers in Earth Science"
DOI: 10.3389/feart.2019.00274
Abstract: Scientific visualization aims to present numerical values, or categorical information, in a way that enables the researcher to make an inference that furthers knowledge. Well-posed visualizations need to consider the characteristics of the data, the… read more here.
Keywords: color; posed geoscientific; visualization; well posed ... See more keywords