Results 41 to 50 of about 2,222 (257)

Viscosity Solutions for First-Order PDEs With Measurable Coefficients and Superlinear Gradient Growth

Journal of Mathematics
Inspired by a fundamental existence result in the theory of PDEs, we present a general existence theorem for viscosity solutions in the standard sense that is applicable to a wide class of partial differential equations. These equations are characterized
S. M. E. Hosseini, S. S. Nezhad
doaj   +1 more source

Numerical analysis of strongly nonlinear PDEs [PDF]

, 2017
We review the construction and analysis of numerical methods for strongly nonlinear PDEs, with an emphasis on convex and non-convex fully nonlinear equations and the convergence to viscosity solutions.
Michael Neilan, Wujun Zhang, Abner J. Salgado   +2 more
core   +1 more source

Embedded Ferroelectric Nanoclusters Can Drive Polarization Reversal in a Non‐Ferroelectric Polar Film via the Proximity Effect

Advanced Functional Materials, EarlyView.
Ferroelectric nanoclusters create local internal fields in a normally non‐switchable polar film because of polarization mismatch at their interfaces. That field opposes polarization in the regions with larger polarization and reinforces polarization in the regions with smaller polarization.
Anna N. Morozovska, Eugene A. Eliseev, Sergei V. Kalinin, Long‐Qing Chen, Dean R. Evans, Venkatraman Gopalan   +5 more
wiley   +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

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

EIGENFUNCTIONS AND FUNDAMENTAL SOLUTIONS FOR THE FRACTIONAL LAPLACIAN IN 3 DIMENSIONS [PDF]

, 2015
Recently there has been a surge of interest in PDEs involving fractional derivatives in different fields of engineering. In this extended abstract we present some of the results developedin [3].
Vieira, Nelson, Ferreira, Milton dos Santos   +1 more
core   +1 more source

Engineering Strategies to Suppress Thermal Runaway Propagation in Lithium‐Ion Battery: Mechanisms, Metrics, Materials, and Evaluation Methods

Advanced Science, EarlyView.
Thermal runaway propagation can transform a single‐cell failure into a system‐level hazard in lithium‐ion battery packs. This review clarifies how heat transfer, gas venting, combustion, and configuration govern cell‐to‐cell failure, and links measurable metrics, pathway‐oriented suppression materials, and experimental/modeling tools to guide safer ...
Jinrong Su, Anna DiFelice, Jayani Mawela, Jianing Gan, Shuai Che, Wonhee Cho, Hanghang Yan, Yaohong Xiao, Xinxin Yao, Xiangwei Guo, Rui Wang, Dingchuan Xue, Hanlong Liu, Solomon Adera, Zhan Chen, Lei Chen   +15 more
wiley   +1 more source

Pattern‐Aware Intelligence Enables Nondestructive, Rapid Quantification of High‐Aspect‐Ratio Silicon Etching

Advanced Science, EarlyView.
Pattern‐dependent etching is converted into a physical prior for intelligent reconstruction of high‐aspect‐ratio silicon structures. Combining YOLO‐Pose feature extraction with a topography network, the framework retrieves depth, sidewall angle, and scallop texture from minimal destructive observations, enabling accurate cross‐scale metrology and near ...
Shuyan He, Lang Chen, Bo Wen, Yufeng Jin, Wei Wang   +4 more
wiley   +1 more source

Application of isotropic geometry to the solution of the Monge–Ampere equation

Қарағанды университетінің хабаршысы. Математика сериясы
This paper explores the Monge–Ampere equation in the context of isotropic geometry. The study begins with an overview of the fundamental properties of isotropic space, including its scalar product, distance formula, and the nature of surfaces and ...
Sh.Sh. Ismoilov
doaj   +1 more source

Dictionary‐based weak‐form training for noise‐robust series hybrid models with multiplicative unknowns

AIChE Journal, EarlyView.
ABSTRACT Hybrid modeling combines first‐principles equations with a data‐driven subcomponent. Training for the data‐driven part is sensitive to measurement noise when training targets are constructed using pointwise time derivatives. Beyond differentiation errors, hybrid models involve solving an inverse problem to estimate the data‐driven term, which ...
Hangjun Cho, Akshay Kudva, Parth Shah, Dongheon Lee, Joseph Sang‐Il Kwon   +4 more
wiley   +1 more source