Results 101 to 110 of about 393,013 (283)

A Simple Solver for the Fractional Laplacian in Multiple Dimensions [PDF]

open access: yesSIAM Journal on Scientific Computing, 2018
We present a simple solver of the fractional Laplacian based on the hypersingular integral representation. Through singularity subtraction, we obtain a regularized integrand that is amenable to the trapezoidal rule with equispaced nodes.
Victor Minden, Lexing Ying
semanticscholar   +1 more source

Air–sea interaction in medicanes with atmosphere–ocean–wave coupled regional climate simulations

open access: yesQuarterly Journal of the Royal Meteorological Society, EarlyView.
The atmosphere–ocean–wave coupling improved storm intensity compared to standalone atmosphere setting, which tended to overestimate wind speeds. The atmosphere–ocean coupling in medicane simulations leads to increased sea surface temperatures, which enhances evaporation and promotes the development of convective systems through increased latent heat ...
Fulden Batibeniz   +3 more
wiley   +1 more source

Weather features drive free‐tropospheric baroclinicity variability in the North Atlantic storm track

open access: yesQuarterly Journal of the Royal Meteorological Society, EarlyView.
We show that synoptic weather features, such as extratropical cyclones, fronts, and atmospheric rivers, contribute to more than half of the total variability of free‐tropospheric baroclinicity in the North Atlantic storm track, despite their limited spatial and temporal extent.
Andrea Marcheggiani   +3 more
wiley   +1 more source

Eigenvalues for systems of fractional $p$-Laplacians [PDF]

open access: yesRocky Mountain Journal of Mathematics, 2018
We study the eigenvalue problem for a system of fractional $p-$Laplacians, that is, $$ \begin{cases} (- _p)^r u = \dfrac p|u|^{ -2}u|v|^ &\text{in } ,\vspace{.1cm} (- _p)^s u = \dfrac p|u|^ |v|^{ -2}v &\text{in } , u=v=0 &\text{in } ^c=\R^N\setminus . \end{cases} $$ We show that there is a first (smallest) eigenvalue that
Pezzo, Leandro M. Del, Rossi, Julio D.
openaire   +5 more sources

Distributed Leader‐Following Formation of Discrete‐Time Multi‐Agent LPV Systems

open access: yesInternational Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper addresses the leader‐following formation consensus problem for multi‐agent systems (MASs) with agents represented by discrete‐time linear parameter‐varying (LPV) models. The scenario where each agent can be modeled with distinct time‐varying scheduling parameters is investigated with respect to compensation signals.
Paulo S. P. Pessim   +4 more
wiley   +1 more source

AI‐Driven Advances in Sustainable Materials for Green Energy: From Innovation to Lifecycle Management

open access: yesSusMat, EarlyView.
This review examines artificial intelligence (AI) applications across the complete lifecycle of sustainable materials for green energy. In the design phase, we review predictive algorithms and generative models as discovery approaches. The synthesis section covers AI‐optimized manufacturing processes, robotic experimentation, and automated ...
Yuehui Xian   +4 more
wiley   +1 more source

Separation Maps for Classification of Multiple Partial Discharges: A Comparative Study Focusing on Time and Frequency Characteristics

open access: yesHigh Voltage, EarlyView.
ABSTRACT Electrical insulation faults produce partial discharges (PD), which can be analysed to identify specific types of defects. PD clustering is a widely used method to identify PD sources, although its success depends largely on the feature maps used.
Jannery Rivas   +4 more
wiley   +1 more source

Nontrivial Solution for the Fractional p-Laplacian Equations via Perturbation Methods

open access: yesAdvances in Mathematical Physics, 2017
We study the existence of nontrivial solution of the following equation without compactness: (-Δ)pαu+up-2u=f(x,u),  x∈RN, where N,p≥2,  α∈(0,1),  (-Δ)pα is the fractional p-Laplacian, and the subcritical p-superlinear term f∈C(RN×R) is 1-periodic in xi ...
Huxiao Luo, Shengjun Li, Xianhua Tang
doaj   +1 more source

The fractional Laplacian: a primer

open access: yes, 2023
In this note we give a glimpse of the fractional Laplacian. In particular, we bring several definitions of this non-local operator and series of proofs of its properties. It is structured in a way as to show that several of those properties are natural extensions of their local counterparts, with some key differences.
openaire   +2 more sources

Eikonal Phase Retrieval: unleashing the potential of fourth‐generation sources for enhanced propagation‐based tomography on biological samples

open access: yesJournal of Synchrotron Radiation, EarlyView.
A new iterative phase retrieval algorithm, Eikonal Phase Retrieval, tackles large phase gradients and yields higher‐quality propagation‐based X‐ray tomography of strongly heterogeneous biological samples.The evolution of synchrotrons towards higher brilliance beams has increased the possible sample‐to‐detector propagation distances for which the source
Alessandro Mirone   +14 more
wiley   +1 more source

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