Results 111 to 120 of about 4,997,800 (374)

Vanishing viscosity limit for a one-dimensional viscous conservation law in the presence of two noninteracting shocks

open access: yesDemonstratio Mathematica
In this article, we study the inviscid limit of the solution to the Cauchy problem of a one-dimensional viscous conservation law, where the second-order term is nonlinear. Under the assumption that the inviscid equation admits a piecewise smooth solution
Feng Li, Wang Jing
doaj   +1 more source

On the stability of a perturbed nonlinear system [PDF]

open access: yesProceedings of the American Mathematical Society, 1966
where each system has a right-hand side continuous on D= { (t, x): t?0, xeEn } and sufficiently smooth there for the uniqueness of all solutions. For xCEn let I xI = I xiJ + * * * + xI4n. The solution of (1) through some point (to, x0) ED will be denoted by y(t, to, xo); the solution of (2) by x(t, to, xo). A solution y(t) of (1) exists on some maximal
openaire   +2 more sources

Static and Dynamic Behavior of Novel Y‐Shaped Sandwich Beams Subjected to Compressive Loadings: Integration of Supervised Learning and Experimentation

open access: yesAdvanced Engineering Materials, EarlyView.
In this study, the mechanical response of Y‐shaped core sandwich beams under compressive loading is investigated, using deep feed‐forward neural networks (DFNNs) for predictive modeling. The DFNN model accurately captures stress–strain behavior, influenced by design parameters and loading rates.
Ali Khalvandi   +4 more
wiley   +1 more source

Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation

open access: yes, 2013
In this paper, we will investigate the first- and second-order implicit-explicit schemes with parameters for solving the Allen-Cahn equation. It is known that the Allen-Cahn equation satisfies a nonlinear stability property, i.e., the free-energy ...
Xinlong Feng   +3 more
semanticscholar   +1 more source

Dimensionless Investigations on Energy Conversion and Analysis of Interlayer Time in Laser‐Based Powder Bed Fusion of Polymers for Polyamide 12 with Nanoadditives and Polypropylene

open access: yesAdvanced Engineering Materials, Volume 27, Issue 14, July 2025.
This study explores the energy conversion in powder bed fusion of polymers using laser beam for polyamide 12 and polypropylene powders. It combines material and process data, using dimensionless parameters and numerical models, to enable the prediction of suitable printing parameters.
Christian Schlör   +9 more
wiley   +1 more source

Bistable Mechanisms 3D Printing for Mechanically Programmable Vibration Control

open access: yesAdvanced Engineering Materials, EarlyView.
This work introduces a 3D‐printed bistable mechanism integrated into tuned mass dampers (TMDs) for mechanically adaptive passive vibration suppression. Through optimized geometry, the bistable design provides adaptable vibration reduction across a broad range of scenarios, achieving effective vibration mitigation without complex controls or external ...
Ali Zolfagharian   +4 more
wiley   +1 more source

A unified framework of rapid exponential stability and optimal feedback control for nonlinear systems

open access: yesAdvances in Mechanical Engineering, 2019
A novel framework of rapid exponential stability and optimal feedback control is investigated and analyzed for a class of nonlinear systems through a variant of continuous Lyapunov functions and Hamilton–Jacobi–Bellman equation.
Yan Li, Yuanchun Li
doaj   +1 more source

Consolidate Overview of Ribonucleic Acid Molecular Dynamics: From Molecular Movements to Material Innovations

open access: yesAdvanced Engineering Materials, EarlyView.
Molecular dynamics simulations are advancing the study of ribonucleic acid (RNA) and RNA‐conjugated molecules. These developments include improvements in force fields, long‐timescale dynamics, and coarse‐grained models, addressing limitations and refining methods.
Kanchan Yadav, Iksoo Jang, Jong Bum Lee
wiley   +1 more source

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