Results 61 to 70 of about 554,981 (265)
Deriving conservation laws for ABS lattice equations from Lax pairs
, 2012 In the paper we derive infinitely many conservation laws for the ABS lattice equations from their Lax pairs. These conservation laws can algebraically be expressed by means of some known polynomials.
Cheng, Jun-wei +2 more
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Algorithmic Design of Disordered Networks With Arbitrary Coordination: Application to Biophotonics
Advanced Functional Materials, EarlyView.Predictive Design of Disordered Networks: Disordered network‐like morphologies are abundant in nature, from cytoskeletal networks to bone structures and chalcogenide glasses. These structures are naturally hard to characterize. A new algorithmic tool extends the established Wooten–Weaire–Winer (WWW) algorithm to valencies above 4.
Florin Hemmann +3 more
wiley +1 more source
Noether Symmetries and Covariant Conservation Laws in Classical, Relativistic and Quantum Physics
, 2010 We review the Lagrangian formulation of Noether symmetries (as well as "generalized Noether symmetries") in the framework of Calculus of Variations in Jet Bundles, with a special attention to so-called "Natural Theories" and "Gauge-Natural Theories ...
Fatibene +11 more
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Advanced Healthcare Materials, EarlyView.This study shows that stem‐like cells isolated from breast cancer brain metastases drive the spread and growth of tumors in the brain. Among them, a highly adhesive subgroup initiates metastasis and resists many drugs. By closely reflecting patient tumors, these models help identify new targets and improve the development of effective treatments ...
Stefania Faletti +27 more
wiley +1 more source
Invariant Solutions and Conservation Laws of the (2 + 1)-Dimensional Boussinesq Equation
Abstract and Applied Analysis, 2014 Invariant solutions and conservation laws of the (2 + 1)-dimensional Boussinesq equation are studied. The Lie symmetry approach is used to obtain the invariant solutions.
Wenjuan Rui, Peiyi Zhao, Yufeng Zhang
doaj +1 more source
Extension the Noether's theorem to Lagrangian formulation with nonlocality
, 2012 A Lagrangian formulation with nonlocality is investigated in this paper. The nonlocality of the Lagrangian is introduced by a new nonlocal argument that is defined as a nonlocal residual satisfying the zero mean condition.
Atkinson C. +3 more
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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 +9 more
wiley +1 more source
On the Conservation Laws and Exact Solutions of a Modified Hunter-Saxton Equation
Advances in Mathematical Physics, 2014 We study the modified Hunter-Saxton equation which arises in modelling of nematic liquid crystals. We obtain local conservation laws using the nonlocal conservation method and multiplier approach.
Sait San, Emrullah Yaşar
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Advanced Materials, EarlyView.We introduce a molecular strategy to assemble one‐dimensional (1D) materials into two‐dimensional (2D) van der Waals metal–organic frameworks (MOFs). Crystals of [FeX(pzX)(bpy)] (X = Cl, F) form anisotropic 2D layers that can be mechanically exfoliated into thin sheets.
Eleni C. Mazarakioti +12 more
wiley +1 more source
The Variational Bi-Complex for Systems of Semi-Linear Hyperbolic PDEs in Three Variables
, 2018 This paper extends, to a class of systems of semi-linear hyperbolic second order PDEs in three variables, the geometric study of a single nonlinear hyperbolic PDE in the plane as presented in [Anderson I.M., Kamran N., Duke Math. J.
Froehlich, Sara
core +1 more source