Results 31 to 40 of about 423 (186)

Master equations and the theory of stochastic path integrals

open access: yes, 2017
This review provides a pedagogic and self-contained introduction to master equations and to their representation by path integrals. Since the 1930s, master equations have served as a fundamental tool to understand the role of fluctuations in complex ...
Markus F Weber, Erwin Frey
core   +1 more source

“It Is Much Safer to Be Sparse than Connected”: Safe Control of Robotic Swarm Density Dynamics with PDE Optimization with State Constraints

open access: yesAdvanced Intelligent Systems, EarlyView.
This paper proposes a novel control framework to ensure safety of a robotic swarm. A feedback optimization controller is capable of driving the swarm toward a target density while keeping risk‐zone exposure below a safety threshold. Theory and experiments show how safety is more effectively achieved for sparsely connected swarms.
Longchen Niu, Gennaro Notomista
wiley   +1 more source

Disentangling Aleatoric and Epistemic Uncertainty in Physics‐Informed Neural Networks: Application to Insulation Material Degradation Prognostics

open access: yesAdvanced Intelligent Systems, EarlyView.
Physics‐Informed Neural Networks (PINNs) provide a framework for integrating physical laws with data. However, their application to Prognostics and Health Management (PHM) remains constrained by the limited uncertainty quantification (UQ) capabilities.
Ibai Ramirez   +4 more
wiley   +1 more source

Radiation‐Absorptive Heat Transport in Buoyancy‐Driven MHD Nanofluids Flow With Cross‐Diffusion and Chemical Interaction Effects Over a Vertical Moving Plate

open access: yesAsia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT This article investigates the Soret–Dufour cross‐diffusion effects on radiation‐absorptive unsteady free‐convection of magnetized nanofluids (TiO2–water$$ {\mathrm{TiO}}_2\hbox{--} \mathrm{water} $$ and Cu–water$$ \mathrm{Cu}\hbox{--} \mathrm{water} $$) flow over a vertical moving permeable plate.
B. Prabhakar Reddy   +2 more
wiley   +1 more source

Method of the Riemann-Hilbert Problem for the Solution of the Helmholtz Equation in a Semi-infinite Strip

open access: yes, 2016
In this dissertation, a new method is developed to study BVPs of the modified Helmholtz and Helmholtz equations in a semi-infinite strip subject to the Poincare type, impedance and higher order boundary conditions.
Ghulam, Ashar
core   +1 more source

Numerical and Experimental Assessment of Oxygen Distribution in a Perfusion Bioreactor to Mimic the Osteochondral Niche

open access: yesBiotechnology and Bioengineering, EarlyView.
ABSTRACT Oxygen supply is a critical parameter in 3D cell cultivation using bioreactors. Since bioreactor designs often prioritise practical constraints, understanding the oxygen supply dynamics of the media is crucial for achieving either uniform or spatially controlled oxygen delivery.
Franziska Alt   +4 more
wiley   +1 more source

Optimization of 3D‐Printed Structured Packings—Current State and Future Developments

open access: yesChemie Ingenieur Technik, EarlyView.
This paper gives an overview about structured packing development for distillation, surveying heuristic development cycles, computational fluid dynamics simulations, and additive manufacturing techniques. The emerging application of shape optimization to improve packings is emphasized, and its benefits, impact, and limitations are discussed.
Dennis Stucke   +3 more
wiley   +1 more source

Lie Symmetry Methods for Multidimensional Linear, Parabolic PDES and Diffusions [PDF]

open access: yes
In this paper we introduce methods based upon Lie symmetry analysis for the construction of explicit fundamental solutions of multidimensional parabolic PDEs.
Mark Craddock, Kelly A. Lennox
core  

An Analytical Design Model of a Vacuum Pressure Swing Adsorption Process for Biogas Upgrading

open access: yesChemie Ingenieur Technik, EarlyView.
A steady‐state model was developed for a vacuum pressure swing adsorption (VPSA) process comprising adsorption, depressurization, and evacuation steps. The resulting analytical plant design model provides the optimal adsorber height required to achieve a target product purity with maximum bed utilization.
Thomas Welter   +3 more
wiley   +1 more source

Extended batch adsorber analogue model (e‐BAAM) for rapid evaluation of CO2 capture pressure swing adsorption cycles

open access: yesThe Canadian Journal of Chemical Engineering, EarlyView.
Abstract This work presents a simplified extended‐batch adsorber analogue model (e‐BAAM) to quantify key performance metrics such as purity, recovery, and energy trends for various pressure swing adsorption (PSA) process cycles for CO2$$ {\mathrm{CO}}_2 $$ capture.
Gwyneth Liske, Arvind Rajendran
wiley   +1 more source

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