Solutions to pdes in closed form

Results 31 to 40 of about 1,246 (190)

AI‐BioMech: Deep Learning Prediction of Mechanical Behavior in Aperiodic Biological Cellular Materials

Advanced Intelligent Discovery, EarlyView.
AI‐BioMech is a deep learning framework that predicts the mechanical behavior of biological cellular materials directly from 2D images. By replacing traditional finite element analysis with semantic segmentation, it identifies stress and strain distributions with 99% accuracy, offering a high‐speed, scalable alternative for analyzing complex, aperiodic
Haleema Sadia, Marcelo A. Dias, Parvez Alam +2 more
wiley +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

Advanced 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

Advanced 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

Asia-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, Jumanne Mng'ang'a, P. V. Kanaka Rao +2 more
wiley +1 more source

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

Biotechnology 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

Chemie 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

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

Chemie 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

The 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

An Equation for Cascading Feedback in Coupled Variables: Operator-Exponential Closed-Form Solution for a Non-Separable Mixed-Order PDE

This work introduces a novel linear evolution equation designed to model "cascading feedback" in complex, multidimensional systems. It addresses mathematical challenges where variables from different dimensions are intertwined in a non-separable way, preventing the use of standard techniques like separation of variables.
openaire +3 more sources

Application of dynamic modelling and model‐based predictive control to enhance a cooling tower

The Canadian Journal of Chemical Engineering, EarlyView.
Model predictive control (MPC) applied to improve the operation of cooling towers. Abstract Model predictive control (MPC) differs from traditional feedback control by making predictions within a time horizon, providing better control actions for the process.
Douglas de Almeida Giardini +4 more
wiley +1 more source

mathematics
highly nonlinear pdes