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Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14122-14148, August 2026.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen   +3 more
wiley   +1 more source

Nordgren PINNs to VQE: Advancing Hydraulic Fracturing Simulations in Shale Reservoirs

open access: yesInternational Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 12, Page 4863-4878, 25 August 2026.
ABSTRACT This study advances hydraulic fracturing simulations in shale reservoirs using two computational paradigms, Physics‐Informed Neural Networks (PINNs) and the Variational Quantum Eigensolver (VQE). PINNs were employed to solve Nordgren's equation, which governs fracture width evolution, by embedding physical laws into the neural network ...
Dennis Delali Kwesi Wayo   +7 more
wiley   +1 more source
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Structural Dynamic Characteristics of Ancient Egyptian Obelisks and Their Responses to Earthquake Loads

Practice Periodical on Structural Design and Construction, 2018
Mohamed Darwish, Darwish Mohamed
exaly   +2 more sources

Revisiting Barnett Newman’s Broken Obelisks: A Case study in multi-site monumentality

Public Art Dialogue, 2023
This article explores the modern art of monument making and breaking through an examination of Barnett Newman’s Broken Obelisk (1963/9). Fabricated in an edition of three, the large-scale sculpture can be found in multiple cities across the United States.
Clarissa Fisher
semanticscholar   +1 more source

The Problem of the Obelisks

The Journal of Egyptian Archaeology, 1924
Warren R. Dawson, R. Engelbach
openaire   +2 more sources

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