Results 51 to 60 of about 51,978 (203)

Ghost effect from Boltzmann theory

Communications on Pure and Applied Mathematics, EarlyView.
Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito, Yan Guo, Rossana Marra, Lei Wu   +3 more
wiley   +1 more source

Severity of effect considerations regarding the use of mutation as a toxicological endpoint for risk assessment: A report from the 8th International Workshop on Genotoxicity Testing (IWGT)

Environmental and Molecular Mutagenesis, EarlyView.
Abstract Exposure levels without appreciable human health risk may be determined by dividing a point of departure on a dose–response curve (e.g., benchmark dose) by a composite adjustment factor (AF). An “effect severity” AF (ESAF) is employed in some regulatory contexts.
Barbara L. Parsons, Marc A. Beal, Kerry L. Dearfield, George R. Douglas, Min Gi, B. Bhaskar Gollapudi, Robert H. Heflich, Katsuyoshi Horibata, Michelle Kenyon, Alexandra S. Long, David P. Lovell, Anthony M. Lynch, Meagan B. Myers, Stefan Pfuhler, Alisa Vespa, Andreas Zeller, George E. Johnson, Paul A. White   +17 more
wiley   +1 more source

Space‐Time Modeling and Numerical Simulations of Non‐Newtonian Fluids Using Internal Variables

International Journal for Numerical Methods in Fluids, EarlyView.
Based on Hamilton's principle, the study focuses on a novel strategy for the modeling of non‐Newtonian fluids with the help of internal variables. Here, the viscosity evolves locally in space and time. Three configurations are numerically implemented, namely channel flow, a benchmark, and a lid‐driven cavity.
Philipp Junker, Thomas Wick
wiley   +1 more source

Incremental Model Order Reduction of Smoothed‐Particle Hydrodynamic Simulations

International Journal for Numerical Methods in Fluids, EarlyView.
The paper presents the development of an incremental singular value decomposition strategy for compressing time‐dependent particle simulation results, addressing gaps in the data matrices caused by temporally inactive particles. The approach reduces memory requirements by about 90%, increases the computational effort by about 10%, and preserves the ...
Eduardo Di Costanzo, Niklas Kühl, Jean‐Christophe Marongiu, Thomas Rung   +3 more
wiley   +1 more source

A modified perturbation method for mathematical models with randomness: An analysis through the steady-state solution to Burgers’ PDE

, 2020
The variability of the data and the incomplete knowledge of the true physics require the incorporation of randomness into the formulation of mathematical models. In this setting, the deterministic numerical methods cannot capture the propagation of the uncertainty from the inputs to the model output.
Calatayud, Julia, Cortés, Juan Carlos, Jornet, Marc   +2 more
openaire   +1 more source

Modelling the drying of single droplets of aqueous solutions of lactose and of maltodextrin

Journal of Chemical Technology &Biotechnology, EarlyView.
Abstract The average temperature of shrinking droplets is obtained from an enthalpy balance considering convection to or from the surroundings and cooling due to evaporation of solvent from the surface. This unique application of the fully implicit backward scheme captures the moisture values at all nodes in the grid, including at the centre and outer ...
Mohd Rosdan Faridatul Ain, Tariq Mahmud, Peter John Heggs, Muzammil Ali   +3 more
wiley   +1 more source

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

A Variational Formulation of European Option Prices in the 1‐Hypergeometric Stochastic Volatility Model

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The paper proposes a variational analysis of the 1‐hypergeometric stochastic volatility model for pricing European options. The methodology involves the derivation of estimates of the weak solution in a weighted Sobolev space. The weight is closely related to the stochastic volatility dynamic of the model.
José Da Fonseca, Wenjun Zhang
wiley   +1 more source

Chan Tony F, Shen Jianhong (Jackie): Image Processing and Analysis: Variational, PDE, Wavelet, and Stochastic Methods. [PDF]

BioMedical Engineering OnLine, 2006
Image processing is an important component of modern technologies because human depends so much on the visual information than other creatures. Image is better than any other information form for us to perceive. Among our information about the world, 99% is perceived with our eyes [1].
openaire   +2 more sources

Diffusive Resource–Consumer Dynamics With the Simplest Learning Mechanism and Nonlocal Memory Usage

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT To describe cognitive consumers' movement, we study a diffusive resource–consumer model with nonlocal memory usage described by a system of parabolic equations, which is coupled with spatial memory dynamics described by a linear learning equation.
Qigang Deng, Ranchao Wu, Hao Wang
wiley   +1 more source