Results 41 to 50 of about 2,658,052 (294)

A hyperbolic conservation law and particle systems [PDF]

Journal of Difference Equations and Applications, 2011
In these notes we consider two particle systems: the totally asymmetric simple exclusion process and the totally asymmetric zero-range process. We introduce the notion of hydrodynamic limit and describe the partial differential equation that governs the evolution of the conserved quantity – the density of particles .
openaire   +3 more sources

Metasurface‐Based Multidimensional Light‐Field Manipulation: From Technologies to Applications

Advanced Science, EarlyView.
Multidimensional metasurfaces enable versatile manipulation of multiple optical degrees of freedom, including phase, amplitude, polarization, wavelength, and orbital angular momentum. This review summarizes their fundamental mechanisms, emerging strategies for multidimensional light‐field control, and key applications in optical computing, imaging ...
Heliang Yin, Shuo Sun, Jiahao Zhang, Jianuo Hu, Yubin Qiao, Liang Chen, Jin Li   +6 more
wiley   +1 more source

Objectives and Key Results–Driven Multiagent Framework for Mechanical Design and Simulation

Advanced Intelligent Systems, EarlyView.
Objectives and key results (OKR)‐agent, an OKR‐driven multiagent framework, turns a plain‐language engineering goal into completed mechanical simulations. Three peer agents—supervisor, modeler, and simulator—share a compact board of OKR and coordinate external molecular dynamics (MD) and finite‐element solvers through a standardized tool interface. The
Jie Tian, Lin Pang, Jixin Hou, Xiao Sun, James Jaraczewski, Xianyan Chen, Kenan Song, Xiaoming Zhai, Tianming Liu, Keke Tang, Xianqiao Wang   +10 more
wiley   +1 more source

Physics‐Informed Machine Learning for Predicting Phases and Density of Al2O3–TiB2 Composites Synthesized via Laser Ignition From the Al–TiO2–B2O3–H3BO3 Reactive System

Advanced Intelligent Systems, EarlyView.
This interactive physics‐informed machine learning model predicts the composition and density of advanced ceramic materials produced by self‐propagating high‐temperature synthesis. The model requires user input processing parameters and demonstrates high accuracy.
Evangelos Daskalakis, Geeta Sharma, Sarathkumar Loganathan, Andrew Scott, Animesh Jha   +4 more
wiley   +1 more source

The analytical interface coupling of arbitrary-order fractional nonlinear hyperbolic scalar conservation laws

Advances in Difference Equations, 2020
In this paper, the existence and uniqueness of the interface coupling (IC) of time and spatial (TS) arbitrary-order fractional (AOF) nonlinear hyperbolic scalar conservation laws (NHSCL) are investigated.
S. M. R. Shirkhorshidi, W. A. M. Othman, M. A. Omar Awang, D. Rostamy, A. S. Shirkhorshidi   +4 more
doaj   +1 more source

An Improved WENO-Z Scheme for Hyperbolic Conservation Laws with New Global Smoothness Indicator

Mathematics, 2023
The fifth-order WENO-Z scheme proposed by Borges et al., using a linear combination of low-order smoothness indicators, is designed to provide a low numerical dissipation to solve hyperbolic conservation laws, while the power q in the framework of WENO-Z
Shuang Han, Mingjun Li
doaj   +1 more source

Exact and approximate solutions of Riemann problems in non-linear elasticity [PDF]

, 2009
Eulerian shock-capturing schemes have advantages for modelling problems involving complex non-linear wave structures and large deformations in solid media.
Barton, Philip Trevor, Romenski, E., Titarev, Vladimir A., Drikakis, Dimitris, P.T. Barton, V.A. Titarev, E. Romenski, D. Drikakis   +7 more
core   +1 more source

Space Pump: Repairable 3D‐Printed Bioinspired Pneumatic Peristaltic Pump for Fluid and Regolith Transport in Space

Advanced Intelligent Systems, EarlyView.
The space pump transports lunar regolith under vacuum condition. A fully 3D‐printed biomimetic peristaltic pump demonstrates reliable transport of liquids and solids using pneumatic ring actuators and flexible fused filament fabrication. The system operates under atmospheric and vacuum conditions, achieves high flow rates, and enables self‐priming ...
Daniel Bellin, Amke Falkenberg, Frank Balle, Thomas Speck, Falk J. Tauber   +4 more
wiley   +1 more source

Radiative Hybrid Nanofluid Flow Over a Porous Riga Surface: A Fuzzy–ANN Modeling Approach

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT This study proposes a fuzzy–ANN model to investigate the nonlinear thermal transport in a tangent hyperbolic (Tanh) hybrid nanofluid flow past a porous Riga surface, considering the effects of Rosseland diffusion, chemical reactions, and internal volumetric heating.
Azad Hussain, Rabia Zetoon, Reeha Iqbal
wiley   +1 more source

On nonlinear strain vectors and tensors in continuum theories of mechanics

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
A non-linear mathematical model of hyperbolic thermoelastic continuum with fine microstructure is proposed. The model is described in terms of 4-covariant field theoretical formalism.
Vladimir A Kovalev, Yuriy N Radayev
doaj   +1 more source