Results 41 to 50 of about 6,721 (141)
Substrate‐Restricted Asymmetric Evolution of Solid‐State Nanopores
Advanced Theory and Simulations, Volume 8, Issue 12, December 2025.Standalone nanopores can either expand or shrink based on the nucleation mechanism. A substrate‐restricted asymmetric pore dynamics are uncovered ‐ top expansion and bottom shrinkage, with minimum aperture reduced and forming a conical geometry, driven by molecular migration along an energy potential gradient within nanopores.
Hongshuai Liu +4 more
wiley +1 more source
A Level Set Topology Optimization Theory Based on Hamilton's Principle
International Journal for Numerical Methods in Engineering, Volume 126, Issue 17, 15 September 2025.ABSTRACT In this article, we propose a unified variational framework for deriving the evolution equation of the level set function in topology optimization, departing from conventional Hamilton–Jacobi‐based formulations. The key idea is the introduction of an auxiliary domain, geometrically identical to the physical design domain, occupied by ...
Jan Oellerich, Takayuki Yamada
wiley +1 more source
Multi-Layer Hydrostatic Equilibrium of Planets and Synchronous Moons: Theory and Application to Ceres and to Solar System Moons [PDF]
, 2014 The hydrostatic equilibrium of multi-layer bodies lacks a satisfactory theoretical treatment despite its wide range of applicability. Here we show that by using the exact analytical potential of homogeneous ellipsoids we can obtain recursive analytical ...
Tricarico, Pasquale
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Learning Physically Interpretable Atmospheric Models From Data With WSINDy
Journal of Geophysical Research: Machine Learning and Computation, Volume 2, Issue 3, September 2025.Abstract The multiscale and turbulent nature of Earth's atmosphere has historically rendered accurate weather modeling a hard problem. Recently, there has been an explosion of interest surrounding data‐driven approaches to weather modeling, which in many cases show improved forecasting accuracy and computational efficiency when compared to traditional ...
Seth Minor +3 more
wiley +1 more source
A convergent expansion of the Airy's integral with incomplete Gamma functions
, 2020 There are two main power series for the Airy functions, namely the Maclaurin and the asymptotic expansions. The former converges for all finite values of the complex variable, $z$, but it requires a large number of terms for large values of $|z|$, and ...
Alvarez-Perez, Jose Luis
core
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
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
MathematicsThis paper presents an extensive investigation into several interrelated topics in mathematical analysis and number theory. The author revisits and builds upon known results regarding the Maclaurin power series expansions for a variety of functions and ...
Feng Qi
doaj +1 more source
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
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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