OPE of Green functions of chiral currents
Sign Up to like & getrecommendations! Published in 2020 at "Journal of High Energy Physics"
DOI: 10.1007/jhep10(2020)142
Abstract: In this paper, we investigate the high-energy behavior of two-point and three-point Green functions of the QCD chiral currents and densities using the framework of the operator product expansion in the chiral limit. In detail,… read more here.
Keywords: ope green; chiral currents; point; green functions ... See more keywords
Generalized Green’s functions for mth-order discrete nonlocal problems∗
Sign Up to like & getrecommendations! Published in 2017 at "Lithuanian Mathematical Journal"
DOI: 10.1007/s10986-017-9346-3
Abstract: In this paper, we consider mth-order linear discrete problems with m nonlocal conditions. We investigate a generalized Green’s function, describing the minimum norm least squares solution, and present its properties, which resemble properties of an… read more here.
Keywords: functions mth; generalized green; order discrete; green functions ... See more keywords
Dynamic response of the Levy-type plates to arbitrary linear-trajectory moving loads using dynamic Green’s functions
Sign Up to like & getrecommendations! Published in 2018 at "Journal of the Brazilian Society of Mechanical Sciences and Engineering"
DOI: 10.1007/s40430-017-0946-y
Abstract: In this paper, the dynamic Green’s functions are used to calculate the dynamic responses of Levy-type plates with different boundary conditions under an arbitrary, linear-trajectory, moving load. The plate’s response is composed of two parts,… read more here.
Keywords: type plates; levy type; arbitrary linear; dynamic green ... See more keywords
Green’s functions for the fourth-order diffusion equation
Sign Up to like & getrecommendations! Published in 2019 at "Journal of the Brazilian Society of Mechanical Sciences and Engineering"
DOI: 10.1007/s40430-019-1836-2
Abstract: Distinct physical processes are involved in the representation of diffusion phenomenon. On the other side, the more commonly employed differential equation for diffusion in the reviewed literature does not provide neither complete nor necessarily adequate… read more here.
Keywords: fourth order; diffusion; equation; green functions ... See more keywords
Three-dimensional Green's functions of thermoporoelastic axisymmetric cones
Sign Up to like & getrecommendations! Published in 2017 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2016.10.023
Abstract: Abstract On the base of Biot's consolidation theory, we introduce the steady-state general solutions of thermoporoelastic axisymmetric media initially. Several three-dimensional problems of porous media, such as the apex of a solid cone and a… read more here.
Keywords: three dimensional; dimensional green; point; thermoporoelastic axisymmetric ... See more keywords
Unified and explicit expressions of three-dimensional Green’s functions and their first derivatives for piezoelectric solids with general anisotropy
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Solids and Structures"
DOI: 10.1016/j.ijsolstr.2018.05.009
Abstract: Abstract Unified and explicit expressions of static three-dimensional generally anisotropic Green’s functions and their first derivatives are presented. The application of residue calculus to the line integral form of the Green’s functions and their derivatives… read more here.
Keywords: three dimensional; explicit expressions; first derivatives; functions first ... See more keywords
Green’s functions for the load sharing in multiple insulating glazing units
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Solids and Structures"
DOI: 10.1016/j.ijsolstr.2020.09.030
Abstract: Abstract Insulating Glazing Units (IGUs) are glass panes held together by structural edge seals, entrapping a gas for thermal and acoustic insulation. The bending of one pane induces pressure variations in the cavities, which produce… read more here.
Keywords: insulating glazing; load sharing; glazing units; green functions ... See more keywords
Adequate determination of micro and macro properties of optical nano-crystals
Sign Up to like & getrecommendations! Published in 2017 at "Opto-electronics Review"
DOI: 10.1016/j.opelre.2017.08.003
Abstract: Abstract The main problem in theoretical analysis of structures with strong confinement is the fact that standard mathematical tools: differential equations and Fourier’s transformations are no longer applicable. In this paper we have demonstrated that… read more here.
Keywords: micro macro; adequate determination; macro properties; film ... See more keywords
Green functions and propagation in the Bopp–Podolsky electrodynamics
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DOI: 10.1016/j.wavemoti.2019.102388
Abstract: Abstract In this paper, we investigate the so-called Bopp–Podolsky electrodynamics. The Bopp–Podolsky electrodynamics is a prototypical gradient field theory with weak nonlocality in space and time. The Bopp–Podolsky electrodynamics is a Lorentz and gauge invariant… read more here.
Keywords: podolsky electrodynamics; green functions; bopp podolsky; electrodynamics ... See more keywords
Data-driven discovery of Green’s functions with human-understandable deep learning
Sign Up to like & getrecommendations! Published in 2022 at "Scientific Reports"
DOI: 10.1038/s41598-022-08745-5
Abstract: There is an opportunity for deep learning to revolutionize science and technology by revealing its findings in a human interpretable manner. To do this, we develop a novel data-driven approach for creating a human–machine partnership… read more here.
Keywords: data driven; green functions; deep learning; driven discovery ... See more keywords
Green’s functions, Biot-Savart operators, and linking numbers on negatively curved symmetric spaces
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5109244
Abstract: We construct radial fundamental solutions for the differential form Laplacian on negatively curved symmetric spaces. At least one of these Green's functions also yields a Biot-Savart Opearator, i.e. a right inverse of the exterior differential… read more here.
Keywords: curved symmetric; biot savart; negatively curved; symmetric spaces ... See more keywords