Results 71 to 80 of about 4,920,416 (295)
Heat polynomials and Lie point symmetries
Journal of Mathematical Analysis and Applications, 2006 On the example of the \(1+1\) dimensional heat equation the author develops the generalized procedure of polynomial solutions construction based on the group theoretical properties of the equation.
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Advanced Functional Materials, EarlyView.Ferroelectric tunnel junction devices based on epitaxial undoped ferroelectric HfO2 films demonstrate stable switching endurance of over 106 switching cycles, low write voltages of ±3 V, 16 measured resistance states, and neuromorphic capability.
Markus Hellenbrand +13 more
wiley +1 more source
Symmetries, Conservation Laws, and Wave Equation on the Milne Metric
Journal of Applied Mathematics, 2012 Noether symmetries provide conservation laws that are admitted by Lagrangians representing physical systems. For partial differential equation possessing Lagrangians these symmetries are obtained by the invariance of the corresponding action integral. In
Ahmad M. Ahmad +2 more
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AFFINE LIE ALGEBRA SYMMETRY OF SINE-GORDON THEORY AT REFLECTIONLESS POINTS [PDF]
Modern Physics Letters A, 1996 The quantum affine symmetry of the sine-Gordon theory at q2=1, which occurs at the reflectionless points, is studied. Conserved currents that correspond to the closure of simple root generators are considered, and shown to be local. We argue that they satisfy the [Formula: see text] algebra. Examples of these currents are explicitly constructed.
LECLAIR, ANDRÉ, NEMESCHANSKY, DENNIS
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Advances in Sustainable and Wearable Textile Based Soft Robotics
Advanced Functional Materials, EarlyView.This Review examines advances in wearable textile‐based soft robotics, focusing on sustainable materials, integrated sensing, and scalable actuation. It discusses manufacturing and system integration across healthcare, assistive robotics, prosthetics, and human–machine interfaces, and highlights key challenges in circular design, including life‐cycle ...
Zahir Abbas +6 more
wiley +1 more source
Results in Physics, 2020 We describe two new discrete symmetries of the inviscid Burgers (or Riemann–Hopf) equation ut+uux=0. We derived both of them using a local, formal approach of Hopf algebraic renormalization, a tool recently used in algorithmic computations. We prove that
G. Barad, E. Czeizler, A. Paun
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Simple applications of Noether's first theorem in quantum mechanics and electromagnetism [PDF]
, 2003 Internal global symmetries exist for the free non-relativistic Schrodinger particle, whose associated Noether charges---the space integrals of the wavefunction and the wavefunction multiplied by the spatial coordinate---are exhibited.
Holland, Peter +3 more
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Electrospun Wood‐Derived Biopolymers as Electrodes in Electrochemical Energy Storage Technologies
Advanced Functional Materials, EarlyView.Electrospinning transforms wood‐derived cellulose and lignin into architecturally defined, binder‐free carbon electrodes with tuneable porosity and functionality. This review shows how fibre design enables decoupled charge and mass transport, enhancing performance across battery systems, while identifying key challenges in spinnability, scalability ...
Michael W. Thielke +3 more
wiley +1 more source
Biodegradable and Biocompatible Functional Polymers for Biomedical Applications
Advanced Functional Materials, EarlyView.Biodegradable and biocompatible functional polymers integrate electrical, mechanical, and stimuli‐responsive functionalities while enabling programmed degradation under physiological conditions. This review introduces recent advances in conductive, shape‐memory, self‐healing, photocurable, and adhesive polymer systems, emphasizing material design ...
Won Bae Han +5 more
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Noether Symmetries and Critical Exponents
Symmetry, Integrability and Geometry: Methods and Applications, 2005 We show that all Lie point symmetries of various classes of nonlinear differential equations involving critical nonlinearities are variational/divergence symmetries.
Yuri Bozhkov
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