Results 51 to 60 of about 6,757 (143)
The gravitational force and potential of the finite Mestel disk
, 2011 Mestel determined the surface mass distribution of the finite disk for which the circular velocity is constant in the disk and found the gravitational field for points in the $z=0$ plane. Here we find the exact closed form solutions for the potential and
Battaner +17 more
core +1 more source
Studies in Applied Mathematics, Volume 155, Issue 3, September 2025.ABSTRACT We consider reaction–diffusion systems with multiplicative noise on a spatial domain of dimension two or higher. The noise process is white in time, colored in space, and invariant under translations. Inspired by previous works on the real line, we establish the multidimensional stability of planar waves on a cylindrical domain on timescales ...
M. van den Bosch, H. J. Hupkes
wiley +1 more source
Intensifying Renewable Energy Droughts in the Western U.S. Amid Evolving Infrastructure and Climate
Earth's Future, Volume 13, Issue 6, June 2025.Abstract If renewable energy resources continue to become a larger part of the generation mix in the United States (U.S.), so does the potential impact of prolonged periods of low wind and solar generation, known as variable renewable energy (VRE) droughts.
C. Bracken +4 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 9241-9252, 30 May 2025.ABSTRACT The motivation of this paper is to explore and generalize Sakaguchi‐type functions, which play a significant role in geometric function theory. In this context, we introduce four new classes of analytic univalent functions: ℑΨ,tb,α,ρ,ℑϑb,α,ρ,ℑΘ,mb,α,ρ$$ {\Im}_{\Psi, t}^{b,\alpha, \rho },\kern0.3em {\Im}_{\vartheta}^{b,\alpha, \rho },\kern0.3em
Arzu Akgül
wiley +1 more source
Normal gravity field in relativistic geodesy
, 2018 Modern geodesy is subject to a dramatic change from the Newtonian paradigm to Einstein's theory of general relativity. This is motivated by the ongoing advance in development of quantum sensors for applications in geodesy including quantum gravimeters ...
Han, Wen-Biao +2 more
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The Granger–Johansen representation theorem for integrated time series on Banach space
Journal of Time Series Analysis, Volume 46, Issue 3, Page 432-457, May 2025.We prove an extended Granger–Johansen representation theorem (GJRT) for finite‐ or infinite‐order integrated autoregressive time series on Banach space. We assume only that the resolvent of the autoregressive polynomial for the series is analytic on and inside the unit circle except for an isolated singularity at unity.
Phil Howlett +4 more
wiley +1 more source
Autonomous Sensing Architected Materials
Advanced Functional Materials, Volume 35, Issue 11, March 11, 2025.This study introduces an experimentally informed predictive framework for autonomous sensing architected materials enabled by additive manufacturing, integrating theoretical and computational methods. By incorporating stress‐dependent electrical resistivity and accounting for material, geometric, and contact nonlinearities, the framework accurately ...
Mattia Utzeri +2 more
wiley +1 more source
Harish-Chandra's volume formula via Weyl's Law and Euler-Maclaurin formula
, 2013 Harish-Chandra's volume formula shows that the volume of a flag manifold $G/T$, where the measure is induced by an invariant inner product on the Lie algebra of $G$, is determined up to a scalar by the algebraic properties of $G$.
Atiyah +18 more
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A Note on the Local Observability of Uniform Hypergraphs
Proceedings in Applied Mathematics and Mechanics, Volume 25, Issue 1, March 2025.ABSTRACT Hypergraphs generalize graphs in such a way that edges may connect any number of nodes. If all edges are adjacent to the same number of nodes, the hypergraph is called uniform. Thus, a graph is a 2‐uniform hypergraph. Each uniform hypergraph can be identified with an autonomous dynamical state‐space system, whose vector field is composed of ...
Daniel Gerbet, Klaus Röbenack
wiley +1 more source
The Journal of Physiology, Volume 603, Issue 7, Page 2119-2138, 31 March 2025.Abstract figure legend The intrinsic cardiac nervous system regulates the beat‐to‐beat function of the heart. Hodgkin–Huxley ion channel models from literature were selected based on the ion channels found in single‐neuron transcriptomic data. The transcriptomic data were binarized to confer combinations of ion channel presence or absence for each ...
Suranjana Gupta +8 more
wiley +1 more source