Results 91 to 100 of about 5,104 (219)

Atmospheric River Climatology for the South Atlantic Basin Using an Image Processing‐Based Methodology

Journal of Geophysical Research: Atmospheres, Volume 131, Issue 15, 16 August 2026.
Abstract Atmospheric Rivers (ARs) are narrow regions of extratropical water vapor transport, situated in the lower troposphere. They are responsible for a large proportion of poleward vapor transport from the tropics to the midlatitudes. Although ARs are known to cause devastating floods when encountering topography, they are a crucial source of water ...
A. K. Sneddon, R. C. Blamey, C. J. C. Reason   +2 more
wiley   +1 more source

Adaptive Matrix‐Free Simulations of Fluid‐Filled Phase‐Field Fractures With Fixed‐Stress Coupling and Fracture‐Width Computation

International Journal for Numerical Methods in Engineering, Volume 127, Issue 15, 15 August 2026.
ABSTRACT Fluid‐filled phase‐field fracture simulations require robust, scalable solvers that can handle strongly nonlinear, non‐smooth mechanics and tightly coupled flow on locally refined meshes. In this work, we develop an adaptive finite element framework for quasi‐static, fluid‐filled phase‐field fractures that combines semi‐smooth Newton methods ...
Leon M. Kolditz, Viktor Kosin, Sanghyun Lee, Thomas Wick   +3 more
wiley   +1 more source

Image‐based evaluation of a commercial AI synthetic CT generator for brain and prostate MR‐only radiotherapy

Journal of Applied Clinical Medical Physics, Volume 27, Issue 8, August 2026.
Abstract Background Synthetic CTs (sCT) were developed to provide electron density information for MR‐only treatment planning. Some AI‐based sCT generators have received FDA‐clearance and better capture tissue heterogeneity through voxel‐wise mappings to improve image guidance and dose calculation.
Morgan Aire, Carson Matthews, Joshua Jones, David Duong, Christopher Schneider, Sotirios Stathakis, Olivia Shay, Krystal Kirby   +7 more
wiley   +1 more source

Hausdorff Dimension of Caloric Measure

American Journal of Mathematics
abstract: We examine caloric measures $\omega$ on general domains in $\RR^{n+1}=\RR^n\times\RR$ (space $\times$ time) from the perspective of geometric measure theory. On one hand, we give a direct proof of a consequence of a theorem of Taylor and Watson (1985) that the lower parabolic Hausdorff dimension of $\omega$ is at least $n$ and $\omega\ll ...
Badger, Matthew, Genschaw, Alyssa
openaire   +3 more sources

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

On the Čech-Completeness of the Space of τ-Smooth Idempotent Probability Measures

Axioms
For the set I(X) of probability measures on a compact Hausdorff space X, we propose a new way to introduce the topology by using the open subsets of the space X.
Ljubiša D. R. Kočinac, Adilbek A. Zaitov, Muzaffar R. Eshimbetov   +2 more
doaj   +1 more source

Development and External Validation of an Efficient Deep Learning Model for Lesion Segmentation and Subtyping of Hepatic Echinococcosis in Ultrasound Imaging

Health Care Science, Volume 5, Issue 4, Page 284-298, August 2026.
We developed a lightweight deep learning framework that integrates frequency‐ and spatial‐domain ultrasound features with segmentation‐assisted classification for hepatic echinococcosis diagnosis. The model outperformed existing state‐of‐the‐art methods in both accuracy and inference speed while requiring substantially fewer computational resources ...
Zhu He, Jiajun Qiu, Chenlin Du, Jin Yin, Xuhui Zhang, Yelei Ren, Yifei Wang, Lamu Suolang, Chunyang Li, Zongjiu Zhang, Diming Cai, Qicheng Lao   +11 more
wiley   +1 more source

On Oriented Colourings of Graphs on Surfaces

Journal of Graph Theory, Volume 112, Issue 4, Page 357-369, August 2026.
ABSTRACT For an oriented graph G, the least number of colours required to oriented colour G is called the oriented chromatic number of G and denoted χ o ( G ). For a non‐negative integer g let χ o ( g ) be the least integer such that χ o ( G ) ≤ χ o ( g ) for every oriented graph G with Euler genus at most g.
Alexander Clow
wiley   +1 more source

Edge‐Length Preserving Embeddings of Graphs Between Normed Spaces

Journal of Graph Theory, Volume 112, Issue 4, Page 491-506, August 2026.
ABSTRACT The concept of graph embeddability, initially formalized by Belk and Connelly and later expanded by Sitharam and Willoughby, extends the question of embedding finite metric spaces into a given normed space. A finite simple graph G = ( V , E ) is said to be ( X , Y )‐embeddable if any set of induced edge lengths from an embedding of G into a ...
Sean Dewar, Eleftherios Kastis, Derek Kitson, William Sims   +3 more
wiley   +1 more source

How to extend Carath\'eodory's theorem to lattice-valued functionals

Results in Nonlinear Analysis, 2020
Substituting in the definition of outer measure the addition with the maximum (or the supremum, or the join) operation we obtain a new set function called retuo measure. It is proved that every retuo measure is an outer measure.
Nutefe Kwami Agbeko
doaj