From Flatland to Spaceland: Higher Dimensional Patterning with Two-Dimensional Materials.
Sign Up to like & getrecommendations! Published in 2017 at "Advanced materials"
DOI: 10.1002/adma.201605096
Abstract: The creation of three-dimensional (3D) structures from two-dimensional (2D) nanomaterial building blocks enables novel chemical, mechanical or physical functionalities that cannot be realized with planar thin films or in bulk materials. Here, we review the… read more here.
Keywords: spaceland higher; two dimensional; flatland spaceland; dimensional patterning ... See more keywords
Boundedness in the higher‐dimensional attraction‐repulsion chemotaxis system involving tensor‐valued sensitivity with saturation
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7049
Abstract: In this paper, we consider the attraction‐repulsion parabolic‐parabolic‐parabolic model with nonlinear diffusion ut=∇·(D(u)∇u)−∇·(uS1(x,u,v)∇v)+∇·(uS2(x,u,w)∇w)+ξu−μu2,x∈Ω,t>0,vt=Δv+αu−βv,x∈Ω,t>0,wt=Δw+γu−δw,x∈Ω,t>0, in a smooth bounded domain Ω⊂ℝn(n≥2) , where α, β, γ, δ, μ are given positive parameters and ξ ≥ 0. The function D satisfies D(u) ≥ CDum − 1 for all… read more here.
Keywords: higher dimensional; boundedness higher; attraction; attraction repulsion ... See more keywords
Higher-dimensional symmetry of AdS2×S2 correlators
Sign Up to like & getrecommendations! Published in 2022 at "Journal of High Energy Physics"
DOI: 10.1007/jhep03(2022)076
Abstract: Abstract It was recently shown that IIB supergravity on AdS5×S5 enjoys 10d conformal symmetry and that superstring theory on this background can be described using a 10d scalar effective field theory. In this paper we… read more here.
Keywords: symmetry ads2; dimensional symmetry; higher dimensional; conformal symmetry ... See more keywords
Classical defects in higher-dimensional Einstein gravity coupled to nonlinear $$\sigma $$σ-models
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DOI: 10.1007/s10714-017-2278-8
Abstract: We construct solutions of higher-dimensional Einstein gravity coupled to nonlinear $$\sigma $$σ-model with cosmological constant. The $$\sigma $$σ-model can be perceived as exterior configuration of a spontaneously-broken $$SO(D-1)$$SO(D-1) global higher-codimensional “monopole”. Here we allow the… read more here.
Keywords: sigma; gravity coupled; dimensional einstein; coupled nonlinear ... See more keywords
Higher dimensional power-Maxwell charged black holes in Einstein and Rastall gravity
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DOI: 10.1007/s10714-019-2548-8
Abstract: The black hole solutions in higher-dimensional spacetimes with the presence of the power-Maxwell field, surrounded by quintessence, are investigated for Einstein as well as Rastall gravity. The obtained solutions accommodate for spherical, planar and hyperbolic… read more here.
Keywords: power maxwell; black hole; maxwell; higher dimensional ... See more keywords
Lie algebra of coupled higher-dimensional forced Burgers’ equation
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DOI: 10.1007/s13370-021-00926-1
Abstract: Symmetry analysis of coupled higher-dimensional forced Burgers’ equation is investigated for various cases. The Lie algebra for the various cases of forcing terms is investigated. Interestingly, for a linear forcing term, the symmetry analysis leads… read more here.
Keywords: burgers equation; dimensional forced; forced burgers; coupled higher ... See more keywords
On Controllability of Networked Higher Dimensional Impulsive Systems
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DOI: 10.1007/s41980-020-00481-8
Abstract: This article proposes various sufficient controllability criteria for a class of networked higher dimensional systems under the influence of impulses exhibited by their state functions. The conditions obtained are characterised in terms of impulse matrices,… read more here.
Keywords: dimensional impulsive; higher dimensional; controllability networked; controllability ... See more keywords
Gravastars with higher dimensional spacetimes
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DOI: 10.1016/j.aop.2018.05.002
Abstract: Abstract We present a new model of gravastar in the higher dimensional Einsteinian spacetime including Einstein’s cosmological constant Λ . Following Mazur and Mottola (2001, 2004) we design the star with three specific regions, as… read more here.
Keywords: gravastars higher; dimensional spacetimes; shell; higher dimensional ... See more keywords
The sine-Gordon expansion method for higher-dimensional NLEEs and parametric analysis
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DOI: 10.1016/j.heliyon.2021.e06459
Abstract: The Estevez-Mansfield-Clarkson (EMC) equation and the (2+1)-dimensional Riemann wave (RW) equation are important mathematical models in nonlinear science, engineering and mathematical physics which have remarkable applications in the field of plasma physics, fluid dynamics, optics,… read more here.
Keywords: dimensional nlees; sine gordon; gordon expansion; method ... See more keywords
Controlled development of higher-dimensional nanostructured copper oxide thin films as binder free electrocatalysts for oxygen evolution reaction
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Hydrogen Energy"
DOI: 10.1016/j.ijhydene.2020.04.152
Abstract: Abstract The development of cost-effective and highly efficient electrocatalysts for oxygen evolution reaction (OER) is a grave challenge in water splitting catalysis for the clean and viable production of molecular hydrogen (H2). Herein, we report… read more here.
Keywords: electrocatalysts oxygen; binder free; oxygen evolution; evolution reaction ... See more keywords
Higher dimensional Darboux transformations
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.04.031
Abstract: Abstract We give conditions for a first order partial differential operator to serve as an n-dimensional Darboux transformation between two second-order partial differential operators. We show that some of these conditions are given by first… read more here.
Keywords: order; partial differential; darboux; darboux transformations ... See more keywords