Results 101 to 110 of about 3,669,023 (333)

Representation of solutions to Helmholtz’s equation [PDF]

Journal of Mathematical Physics, 1984
It is proved that any potential of a single layer v is identically equal to a potential of a double layer w in the bounded domain, 𝒟, and a necessary and sufficient condition for v≡w in Ω=R3/𝒟, the exterior domain, is given.
openaire   +1 more source

A nonlocal fractional Helmholtz equation [PDF]

Fractional Differential Calculus, 2017
In this paper we study some boundary value problems for a fractional analogue of second order elliptic equation with an involution perturbation in a rectangular domain. Theorems on existence and uniqueness of a solution of the considered problems are proved by spectral method.
Kirane, Mokhtar, Turmetov, Batirkhan Kh., Torebek, Berikbol T.   +2 more
openaire   +2 more sources

MAGTWIST: A Magnetically‐Driven Rotary Actuator Using a Traveling‐Wave With Integrated Stiffness Tunability

Advanced Functional Materials, EarlyView.
MAGTWIST: A compact magnetic rotary actuator, enabling smooth, stepless rotation, and on‐demand locking. Inspired by peristalsis, a soft polymer belt generates a traveling‐wave, enabling 270° rotation when heated. Cooling stiffens the belt, locking it in position and enabling it to withstand high loads.
Simon Frieler, Jean‐Paul P.M. de Vries, Sarthak Misra, Venkatasubramanian Kalpathy Venkiteswaran   +3 more
wiley   +1 more source

Helmholtz Resonance in Korean Bells

International Scholastic Journal of Science, 2017
Traditional Korean bells are installed above a shallow well with a gap between the bell and the ground, effectively creating a Helmholtz resonator. During installation, the size of the well and the gap is traditionally adjusted, through trial and error ...
Junghyun Kim
doaj  

Critical equation of state of randomly dilute Ising systems

, 2003
We determine the critical equation of state of three-dimensional randomly dilute Ising systems, i.e. of the random-exchange Ising universality class. We first consider the small-magnetization expansion of the Helmholtz free energy in the high-temperature
A. B. Harris, A. F. Andreev, A. J. Bray, A. J. McKane, A. Pelissetto, A. Pelissetto, A. Pelissetto, Andrea Pelissetto, B. D. Josephson, B. N. Shalaev, C. Bagnuls, C. Bagnuls, C. Bervillier, D. P. Belanger, D. P. Belanger, D. V. Pakhnin, D. V. Pakhnin, D. V. Pakhnin, Ettore Vicari, G. Grinstein, G. Grinstein, G. Álvarez, H. G. Ballesteros, I. O. Mayer, J. L. Cardy, J. M. Carmona, M. Campostrini, M. Campostrini, M. Campostrini, M. Campostrini, M. Campostrini, M. Caselle, M. E. Fisher, M. E. Fisher, M. E. Fisher, M. Tissier, Martino De Prato, N.A. Shpot, N.A. Shpot, P. Calabrese, P. Calabrese, P. Schofield, P. Schofield, Pasquale Calabrese, R. A. Pelcovits, R. B. Griffiths, R. Folk, R. Folk, R. Folk, R. Guida, R. J. Birgeneau, R. J. Birgeneau, S. A. Newlove, S. Fishman, S. N. Isakov, S. W. Edwards, V. J. Emery   +56 more
core   +1 more source

Frontier Advances of Emerging High‐Entropy Anodes in Alkali Metal‐Ion Batteries

Advanced Functional Materials, EarlyView.
Recent advances in microscopic morphology control of high‐entropy anode materials for alkali metal‐ion batteries. Abstract With the growing demand for sustainable energy, portable energy storage systems have become increasingly critical. Among them, the development of rechargeable batteries is primarily driven by breakthroughs in electrode materials ...
Liang Du, Kaidi Zhang, Liang Wang, Di Zhao, Mengqing Hu, Mingli Li, Ming Zhou, Zhenzhen Wu, Mengyang Dong, Bo Fu, Porun Liu, Yun Wang, Hongxia Wang, Yuantong Gu, Lei Zhang   +14 more
wiley   +1 more source

Two reconstruction procedures for a 3D phaseless inverse scattering problem for the generalized Helmholtz equation [PDF]

, 2015
The 3D inverse scattering problem of the reconstruction of the unknown dielectric permittivity in the generalized Helmholtz equation is considered. Applications are in imaging of nanostructures and biological cells.
M. Klibanov, V. Romanov
semanticscholar   +1 more source

Novel Functional Materials via 3D Printing by Vat Photopolymerization

Advanced Functional Materials, EarlyView.
This Perspective systematically analyzes strategies for incorporating functionalities into 3D‐printed materials via Vat Photopolymerization (VP). It explores the spectrum of achievable functionalities in recently reported novel materials—such as conductive, energy‐storing, biodegradable, stimuli‐responsive, self‐healing, shape‐memory, biomaterials, and
Sergey S. Nechausov, Patrick Fesser, Boris A. Bulgakov, Ulrich S. Schubert   +3 more
wiley   +1 more source

Interfacial and Crystallographic Regulation of Zinc Anode via Electric Double Layer Reconstruction for Highly Stable Zn Anode

Advanced Functional Materials, EarlyView.
Trace amounts of perfluoro‐1‐butanesulfonyl fluoride enables the regulation of the Zn/electrolyte interface by the generated zincophilic ─SO3H groups with long hydrophobic ─CF2 tails, which adsorb strongly onto the Zn surface, displace water molecules from the inner Helmholtz plane, and reconstruct the electrical double‐layer structure.
Dinesh Patel, Yimei Chen, Ashwini Kumar Sharma, Xiaolei Wang   +3 more
wiley   +1 more source

Fast algorithms for Quadrature by Expansion I: Globally valid expansions

, 2017
The use of integral equation methods for the efficient numerical solution of PDE boundary value problems requires two main tools: quadrature rules for the evaluation of layer potential integral operators with singular kernels, and fast algorithms for ...
Klöckner, Andreas, O'Neil, Michael, Rachh, Manas   +2 more
core   +1 more source