Results 71 to 80 of about 3,006 (218)
Materials ProceedingsA lie point symmetry analysis of flow and heat transfer under the influence of an external magnetic field and viscous dissipation was previously conducted using a couple of lie point symmetries of the model.
Haris Ahmad +4 more
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Arab Journal of Basic and Applied Sciences, 2018 The nonlocal symmetries for the coupled (2 + 1)-dimensional Burgers system are obtained with the truncated Painlevé expansion method. The nonlocal symmetries can be localized to the Lie point symmetries by introducing auxiliary dependent variables.
Hengchun Hu, Yueyue Li
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Optimal systems and group invariant solutions for a model arising in financial mathematics
Mathematical Modelling and Analysis, 2009 We consider a bond‐pricing model described in terms of partial differential equations (PDEs). Classical Lie point symmetry analysis of the considered PDEs resulted in a number of point symmetries being admitted.
Bienvenue Feugang Nteumagne +1 more
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A Non‐Reciprocal Architected Porous Medium
Advanced Functional Materials, EarlyView.ABSTRACT In several fluid flow, energy‐dumping, and energy‐harvesting applications, a dominant flow direction or dominant resistance direction is desirable. In this study, we propose a simple modular geometry that doubles flow resistance in one direction relative to the opposite direction, while maintaining laminar viscous flow.
Clément Vezies +2 more
wiley +1 more source
Correlated dynamics of immune network and sl(3, R) symmetry algebra
Computational and Mathematical BiophysicsWe observed the existence of periodic orbits in immune network under transitive solvable Lie algebra. In this article, we focus to develop condition of maximal Lie algebra for immune network model and use that condition to construct a vector field of ...
Dutta Ruma, Stan Aurel
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Advanced Functional Materials, EarlyView.A novel thermos‐responsive hydroxypropyl cellulose/graphene oxide (HPC/GO) composite membrane is fabricated for reversible temperature‐gated ion transport in aqueous zinc‐ion batteries. Enabled by LCST‐driven structural transition, unimpeded ion diffusion at room temperature delivers high capacity, while elevated temperature suppresses transport; full ...
Xueli Bi +9 more
wiley +1 more source
Lie Symmetries of the Wave Equation on the Sphere Using Geometry
DynamicsA semilinear quadratic equation of the form Aij(x)uij=Bi(x,u)ui+F(x,u) defines a metric Aij; therefore, it is possible to relate the Lie point symmetries of the equation with the symmetries of this metric. The Lie symmetry conditions break into two sets:
Michael Tsamparlis +1 more
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Hydrogen‐Bond–Driven Ion Retention in Electrolyte‐Gated Synaptic Transistors
Advanced Functional Materials, EarlyView.Anion molecular design governs ion–polymer interactions in electrolyte‐gated synaptic transistors. Asymmetric anions induce hydrogen‐bond interactions that suppress ion back‐diffusion and stabilize doping, enabling enhanced nonvolatile synaptic properties.
Donghwa Lee +5 more
wiley +1 more source
Chirality and Organization of Adsorbates Modify Surface Phonon Dynamics
Advanced Functional Materials, EarlyView.Chirality and molecular organization are shown to influence surface phonon dynamics in gold films. Time‐resolved Joule heating measurements reveal that ordered homochiral monolayers increase the Debye temperature and disordered layers reduce it, while ordered racemic controls have no effect.
Meital Ozeri +6 more
wiley +1 more source
Exact solution of a mathematical model for human muscular motion
Examples and CounterexamplesAn ordinary differential equation (ODE) which models human muscular movement is considered. A functional form of the model parameter is specified through the Lie symmetry approach, yielding a different expression from the one derived in the previous ...
Motlatsi Molati
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