Results 31 to 40 of about 1,940 (229)

The description of entire solutions of complex PDEs and PDDEs

Demonstratio Mathematica
Abstract By utilizing the Hadamard factorization theory and Nevanlinna theory of meromorphic functions in C
Zhao Jun Wu, Hong Yan Xu, Zu Xing Xuan
openaire   +1 more source

Stable solutions of $-\Delta u =f(u)$ in $\mathbf R^N$

, 2008
The paper proves Liouville-type results for stable solutions of semilinear elliptic PDEs with convex nonlinearity, posed on the entire Euclidean space.
Dupaigne, Louis, Farina, Alberto
core   +1 more source

Topology and Material Optimization in Ultra‐Soft Magneto‐Active Structures: Making Advantage of Residual Anisotropies

Advanced Materials, EarlyView.
Residual magnetization induces pronounced mechanical anisotropy in ultra‐soft magnetorheological elastomers, shaping deformation and actuation even without external magnetic fields. This study introduces a computational‐experimental framework integrating magneto‐mechanical coupling into topology optimization for designing soft magnetic actuators with ...
Carlos Perez‐Garcia, Rogelio Ortigosa, Jesús Martínez‐Frutos, Daniel Garcia‐Gonzalez   +3 more
wiley   +1 more source

A multi-layer neural network-based evaluation of MHD radiative heat transfer in Eyring–Powell fluid model

Heliyon
In the modern era, artificial intelligence (AI) has been applied as one of the transformative factors for scientific research in many fields that could provide new solutions to extremely complicated and complex physical models.
Muflih Alhazmi, Zahoor Shah, Muhammad Asif Zahoor Raja, Nafisa A. Albasheir, Maryam Jawaid   +4 more
doaj   +1 more source

A Framework for Physics-Informed Deep Learning Over Freeform Domains

, 2023
Deep learning is a popular approach for approximating the solutions to partial differential equations (PDEs) over different material parameters and boundary conditions. However, no work has yet been reported on learning PDE solutions over changing shapes
Mezzadri F., Gasick J., Qian X.
core   +1 more source

Benchmarking Coaxial and Angular Optical Emission Spectroscopy With Recommendations for Reliable Compositional In Situ Monitoring During Laser Powder Bed Fusion

Advanced Materials Technologies, EarlyView.
ABSTRACT Real‐time insight into local chemistry is critical for reliable part quality in additive manufacturing, especially laser powder bed fusion (PBF‑LB/M), where rapid thermal cycles and localized evaporation can undermine part performance. Optical emission spectroscopy (OES) offers non‑intrusive, in situ plume monitoring, but detection geometry ...
Philipp Gabriel, Bastian Jülich, Anna Rosa Ziefuss, Florian Eibl, Stephan Barcikowski   +4 more
wiley   +1 more source

On constraint preservation and strong hyperbolicity

, 2021
We use partial differential equations (PDEs) to describe physical systems. In general, these equations include evolution and constraint equations. One method used to find solutions to these equations is the Free-evolution approach, which consists in ...
Abalos, J. Fernando
core   +1 more source

Data‐Efficient Electromagnetic Surrogate Solver Through Dissipative Relaxation Transfer Learning

Advanced Optical Materials, EarlyView.
Dissipative relaxation transfer learning (DIRTL) enables data‐efficient training of electromagnetic surrogate solvers by pretraining data generated with artificial material loss before fine‐tuning on target lossless data. The framework suppresses resonant outlier effects during early training, allowing effective adaptation to high‐amplitude resonances ...
Sunghyun Nam, Chan Y. Park, Min Seok Jang   +2 more
wiley   +1 more source

Biodegradable Zn‐Based Implants: Progress, Challenges, and Pathways toward Clinical Translation

Advanced Science, EarlyView.
Exploring biodegradable Zn‐based implants offers a promising pathway to next‐generation biomedical devices with balanced degradation and biocompatibility. A comprehensive overview of biodegradable Zn‐based implants, covering their biological significance, material design principles, and advanced engineering strategies is provided.
Panfeng Zhao, Zhengquan Wang, Hui Yang, Xiyuan Zhang, Hanyuan Liu, Xiaotong Lu, Xiaocheng Li, Yanyan Liu, Xi Zhao, Wenhao Zhou, Yufeng Zheng   +10 more
wiley   +1 more source

Capacitive versus Faradaic Microelectrodes for Extracellular Stimulation: A Fully Coupled FEM–Hodgkin–Huxley Study of Thresholds and Current Redistribution

Advanced Electronic Materials, EarlyView.
A fully coupled FEM–HH model shows that ideally capacitive microelectrodes can achieve lower charge‐density thresholds than Faradaic contacts under current‐controlled stimulation. The advantage stems from the dynamics of surface current density on capacitive interfaces, which redirects current beneath adherent neurons.
Aleksandar Opančar, Eric Daniel Głowacki, Vedran Đerek   +2 more
wiley   +1 more source