Results 191 to 200 of about 10,821 (279)

Inverse problems for semilinear elliptic PDE with a general nonlinearity a(x,u)$a(x,u)$

open access: yesTransactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract This article studies the inverse problem of recovering a nonlinearity in an elliptic equation Δu+a(x,u)=0$\Delta u + a(x,u) = 0$ from boundary measurements of solutions. Previous results based on first‐order linearization achieve this under a sign condition on ∂ua(x,u)$\partial _u a(x,u)$, and results based on higher order linearization ...
David Johansson   +2 more
wiley   +1 more source

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 9, Page 2107-2157, September 2026.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone   +3 more
wiley   +1 more source

From temporal variability to integrated metabolic balance: Interpreting total alkalinity and dissolved inorganic carbon relationships in dynamic coral reef ecosystems

open access: yesLimnology and Oceanography Letters, Volume 11, Issue 5, September 2026.
Abstract Linear regressions between total alkalinity (TA) and dissolved inorganic carbon (DIC) are widely used to infer the balance between net ecosystem calcification (NEC) and net ecosystem production (NEP) in coral reefs. Using high‐frequency carbonate chemistry observations from an Australian reef flat and simple numerical models, we show that TA ...
Tyler Cyronak   +10 more
wiley   +1 more source

Trend Inflation and the Costs of Price Dispersion in a Fiscal DSGE Model

open access: yesSouth African Journal of Economics, Volume 94, Issue 3, September 2026.
ABSTRACT Most inflation‐targeting frameworks allow for a positive trend inflation rate, yet its optimal level remains uncertain. The extended deliberation in South Africa to move from a 3%–6% target band to a 3% target (with a 1% tolerance band) illustrates this tension.
Clinton Joel, Hylton Hollander
wiley   +1 more source

Surface subgroups for cocompact lattices of isometries of H2n$\mathbb {H}^{2n}$

open access: yesJournal of Topology, Volume 19, Issue 3, September 2026.
Abstract We prove the existence of surface subgroups within any cocompact lattice Γ$\Gamma$ in SO(2n,1)$\mathrm{SO}(2n,1)$ for n⩾2$n\geqslant 2$. This result addresses the cases missing from the work of Hamenstädt in 2015, who constructed surface subgroups in cocompact lattices for all other rank‐1 simple Lie groups of noncompact type.
Jeremy Kahn, Zhenghao Rao
wiley   +1 more source

Advancing forward osmosis predictions: A deep learning‐based surrogate modeling approach

open access: yesJournal of the Science of Food and Agriculture, Volume 106, Issue 11, Page 6766-6778, 30 August 2026.
Abstract BACKGROUND This study presents a deep learning‐based surrogate model for the rapid and accurate prediction of forward osmosis (FO) performance under diverse operating conditions. To assess the applicability of data‐driven approaches, several machine learning models – decision tree, random forest, support vector machine, and deep neural network
Hyeon Woo Park, Woo‐Ju Kim
wiley   +1 more source

Statistical Study of Betatron and Fermi Electron Acceleration at Dipolarization Fronts

open access: yesGeophysical Research Letters, Volume 53, Issue 15, 16 August 2026.
Abstract Magnetic reconnection jets in Earth's magnetotail are regions of electron heating and acceleration. They are often associated with dipolarization fronts (DFs), which are characterized by sharp increases in the northward magnetic field component Bz ${B}_{z}$.
A. Kolokotronis   +5 more
wiley   +1 more source

Data‐driven simulation of crude distillation using Aspen HYSYS and comparative machine learning models

open access: yesThe Canadian Journal of Chemical Engineering, Volume 104, Issue 8, Page 4079-4100, August 2026.
Integrated Aspen HYSYS–machine learning framework for predicting product yields and quality variables. Abstract Crude oil refining is a complex process requiring precise modelling to optimize yield, quality, and efficiency. This study integrates Aspen HYSYS® simulations with machine learning techniques to develop predictive models for key refinery ...
Aldimiro Paixão Domingos   +3 more
wiley   +1 more source

Impact of Iridium Crucible Aging on Cz‐YAG Crystal Quality and Process Economy: A Data‐Driven Study

open access: yesCrystal Research and Technology, Volume 61, Issue 8, August 2026.
Machine learning models trained on CFD‐generated data reveal how iridium crucible aging influences key Czochralski YAG crystal growth outcomes. Interpretable analyses uncover the dominant role of iridium loss and its interactions with process variables, enabling accurate prediction of heating power, interface shape, and the ratio of growth rate to ...
Natasha Dropka   +4 more
wiley   +1 more source

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