Results 61 to 70 of about 43,151 (210)

Optimal model‐based design of experiments for parameter precision: Supercritical extraction case

open access: yesThe Canadian Journal of Chemical Engineering, EarlyView.
Abstract This study investigates the process of chamomile oil extraction from flowers. A parameter‐distributed model consisting of a set of partial differential equations is used to describe the governing mass transfer phenomena in a cylindrical packed bed with solid chamomile particles under supercritical conditions using carbon dioxide as a solvent ...
Oliwer Sliczniuk, Pekka Oinas
wiley   +1 more source

Invertibility of spectral x-ray data with pileup--two dimension-two spectrum case

open access: yes, 2018
In the Alvarez-Macovski method, the line integrals of the x-ray basis set coefficients are computed from measurements with multiple spectra. An important question is whether the transformation from measurements to line integrals is invertible. This paper
Alvarez, Robert
core  

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

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
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

The impact of forced closure on proppant distribution of hydraulic fracturing in shale formations

open access: yesDeep Underground Science and Engineering, EarlyView.
Research findings demonstrate that implementing forced closure within shale formations can remarkably mitigate proppant settlement, concurrently increasing the effective propped surface area from 29.74% to 38.68%. Abstract Forced closure is widely used in conventional oil and gas reservoirs to promote uniform proppant placement.
Tongxuan Gu   +3 more
wiley   +1 more source

Syndrome‐specific and familial imaging traits in juvenile absence epilepsy

open access: yesEpilepsia, EarlyView.
Abstract Objective Juvenile absence epilepsy (JAE) is an idiopathic generalized epilepsy characterized by absences, generalized tonic–clonic seizures, and cognitive difficulties. In contrast to juvenile myoclonic epilepsy (JME), where distinct functional and structural brain alterations are well established, it remains unclear whether comparable ...
Fenglai Xiao   +15 more
wiley   +1 more source

Multimodal Imaging Investigation of the Dentato‐Thalamo‐Cortical Pathway in Friedreich's Ataxia

open access: yesMovement Disorders, EarlyView.
Abstract Background Friedreich's ataxia (FRDA) is a spinocerebellar neurodegenerative disorder. The dentato‐thalamo‐cortical (DTC) pathway, an important cerebellar output involved in motor control, plays a crucial role in the neural mechanisms underlying ataxia symptoms in FRDA.
Yinghua Jing   +22 more
wiley   +1 more source

Extending the hyper‐logistic model to the random setting: New theoretical results with real‐world applications

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
We develop a full randomization of the classical hyper‐logistic growth model by obtaining closed‐form expressions for relevant quantities of interest, such as the first probability density function of its solution, the time until a given fixed population is reached, and the population at the inflection point.
Juan Carlos Cortés   +2 more
wiley   +1 more source

Analysis of a Mathematical Model of Marital Satisfaction

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT A large number of marriages end in divorce. In this paper, we present a model for the emotional state of a couple based on bilinear ordinary differential equations. We study the effect of changes of each individual's self‐emotional state on the couple's state.
Benito Chen‐Charpentier   +2 more
wiley   +1 more source

Shape Derivatives of the Eigenvalues of the De Rham Complex for Lipschitz Deformations and Variable Coefficients: Part I

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti   +2 more
wiley   +1 more source

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq   +4 more
wiley   +1 more source

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