Results 61 to 70 of about 445,110 (284)

Fractal Dynamical Model of Vehicular Traffic Flow within the Local Fractional Conservation Laws

Abstract and Applied Analysis, 2014
We suggest a new model of the scale conservation equation in the mathematical theory of vehicular traffic flow on the fractal network based on the local fractional calculus.
Long-Fei Wang, Xiao-Jun Yang, Dumitru Baleanu, Carlo Cattani, Yang Zhao   +4 more
doaj   +1 more source

Reconstructed Interpolating Differential Operator Method with Arbitrary Order of Accuracy for the Hyperbolic Equation

Axioms, 2021
We propose a family of multi-moment methods with arbitrary orders of accuracy for the hyperbolic equation via the reconstructed interpolating differential operator (RDO) approach. Reconstruction up to arbitrary order can be achieved on a single cell from
Shijian Lin, Qi Luo, Hongze Leng, Junqiang Song   +3 more
doaj   +1 more source

Construction of Local Conservation Laws by Generalized Isometric Embeddings of Vector Bundles [PDF]

, 2009
This article uses Cartan-K\"ahler theory to construct local conservation laws from covariantly closed vector valued differential forms, objects that can be given, for example, by harmonic maps between two Riemannian manifolds. We apply the article's main
Kahouadji, Nabil
core   +2 more sources

Nonintegrability, Chaos, and Complexity

, 2000
Two-dimensional driven dissipative flows are generally integrable via a conservation law that is singular at equilibria. Nonintegrable dynamical systems are confined to n*3 dimensions.
Arnol'd, Arnol'd, Arnol'd, Bak, Bak, Bell, Bender, Bennett, Benzi, Bowler, Burns, Constantin, Constantin, Crisanti, Cvitanovic, de Sousa Viera, Eigen, Feigenbaum, Foias, Fornenko, Fredkin, Friedrich, Garey, Gleick, Grinstein, Gunaratne, Hu, Joseph L. McCauley, Koopman, Krug, Küppers, Lindley, Lipton, Lloyd, Lofse, Lorenz, McCauley, McCauley, McCauley, McCauley, McCauley, Moore, Moore, Moore, Morowitz, Olby, Olver, Omohundro, Poincaré, Ruelle, Schuster, She, Tabor, von Neumann, von Neumann, Weinberg, Wigner, Wintner, Young   +58 more
core   +1 more source

On the singular local limit for conservation laws with nonlocal fluxes [PDF]

, 2019
We give an answer to a question posed in [P. Amorim, R. Colombo, and A. Teixeira, ESAIM Math. Model. Numerics. Anal. 2015], which can be loosely speaking formulated as follows.
Colombo, Maria, Crippa, Gianluca, Spinolo, Laura V.   +2 more
core   +2 more sources

Transient Charging of Mixed Ionic‐Electronic Conductors by Anomalous Diffusion

Advanced Materials, EarlyView.
This article explores charge transport in mixed ionic‐electronic conductors (MIECs) through electrochemical impedance spectroscopy and transient current analysis. Focusing on PEDOT:PSS, WO3, and n‐doped PBDF, it uncovers the impact of anomalous diffusion via fractional modeling. The study reveals key correlations that deepen understanding and guide the
Heyi Zhang, Gonzalo Rivera‐Sierra, Shirin Siahjani‐Gultekin, Jenifer Rubio‐Magnieto, Anis Allagui, Ignacio Sanjuán, David Franco, Antonio Guerrero, Enrique H. Balaguera, Juan Bisquert   +9 more
wiley   +1 more source

New angular momentum conservation laws for electromagnetic waves interacting with Dirac fields

New Journal of Physics
Global conservation laws of angular momentum (AM) are well-known in the theory of light–matter interaction. However, local conservation laws, i.e.
Farhad Khosravi, Li-Ping Yang, Pronoy Das, Zubin Jacob   +3 more
doaj   +1 more source

Solution of Thermoelectricity Problems Energy Method

E3S Web of Conferences, 2018
On the basis of the fundamental laws of conservation of energy in conjunction with local quadratic spline functions was developed a universal computing algorithm, a method and associated software, which allows to investigate the Thermophysical insulated ...
Niyazbek Muheyat, Nogaybaeva M.O, Talp Kuenssaule, Kudaikulov A.A   +3 more
doaj   +1 more source

Alternating Polynomial Reconstruction Method for Hyperbolic Conservation Laws

Mathematics, 2021
We propose a new multi-moment numerical solver for hyperbolic conservation laws by using the alternating polynomial reconstruction approach. Unlike existing multi-moment schemes, our approach updates model variables by implementing two polynomial ...
Shijian Lin, Qi Luo, Hongze Leng, Junqiang Song   +3 more
doaj   +1 more source

Large‐Area 2D Metasurface‐Based Triboelectric E‐Skin Arrays: Contact & Proximity Tactile Mapping with Broadband Acoustic Readouts

Advanced Materials, EarlyView.
Metasurface‐engineered NC‐TENG arrays integrate tactile pressure mapping, non‐contact gesture sensing, and acoustic signal readouts in one ultrathin module, and outperforms pristine PDMS in terms of electrical output and real‐time spatial mapping for next‐gen wearables.
Injamamul Arief, Swagato Sarkar, Anik Kumar Ghosh, Osvalds Verners, Kamal Kumar Meena, Su‐Hyeong Lee, Soosang Chae, Tobias A. F. König, Beate Krause, Andreas Fery, Mehmet Sait Özer, Anindya Nag, Amit Das   +12 more
wiley   +1 more source