Results 61 to 70 of about 6,636 (211)

Traveling-Wave Solutions of Several Nonlinear Mathematical Physics Equations

Mathematics
This paper deals with several nonlinear partial differential equations (PDEs) of mathematical physics such as the concatenation model (perturbed concatenation model) from nonlinear fiber optics, the plane hydrodynamic jet theory, the Kadomtsev ...
Petar Popivanov, Angela Slavova
doaj   +1 more source

A third-order nonlinear Schrödinger equation: the exact solutions, group-invariant solutions and conservation laws

Journal of Taibah University for Science, 2020
In this study, we consider the third order nonlinear Schrödinger equation (TONSE) that models the wave pulse transmission in a time period less than one-trillionth of a second.
Yeşim Sağlam Özkan, Emrullah Yaşar, Aly R. Seadawy   +2 more
doaj   +1 more source

Controllable Dynamic Mechanical Cell Stimulation using Magnetically Actuated Artificial Cilia

Advanced Healthcare Materials, EarlyView.
This paper introduces a platform based on magnetic artificial cilia for providing controllable dynamic mechanical stimulation to single cells, suitable for investigating large cell populations and enabling live cell imaging. Proof‐of‐principle experiments show that cell morphology is strongly influenced by the artificial cilia, that cellular forces can
Roel Kooi, Tanveer Ul Islam, Oscar M.J.A. Stassen, Naomie Amsing, Jan de Boer, Jaap M.J. den Toonder   +5 more
wiley   +1 more source

Engineered Protein‐Based Ionic Conductors for Sustainable Energy Storage Applications

Advanced Materials, EarlyView.
Rational incorporation of charged residues into an engineered, self‐assembling protein scaffold yields solid‐state protein films with outstanding ionic conductivity. Salt‐doping further enhances conductivity, an effect amplified in the engineered variants. These properties enable the material integration into an efficient supercapacitor.
Juan David Cortés‐Ossa, Paolo Blesio, Marcial Fernandez‐Castro, Lisa Almonte, Maxence Fernandez, Mantas Liutkus, Perumal Pandurangan, Carlos Sabater, Aitor Villaverde, Manuel Melle‐Franco, Nurit Ashkenasy, Felipe Jiménez‐Ángeles, M. Carmen Morant‐Miñana, M. Reyes Calvo, Aitziber L. Cortajarena   +14 more
wiley   +1 more source

Fully decoupled SAV Fourier-spectral scheme for the Cahn–Hilliard–Hele–Shaw system

Results in Applied Mathematics
In this paper, we construct first- and second-order fully discrete schemes for the Cahn–Hilliard–Hele–Shaw system based on the Fourier-spectral method for spatial discretization. For temporal discretization, we combine two efficient approaches, including
Linhui Zhang, Hongen Jia, Hongbin Wang
doaj   +1 more source

On Mathematical Modelling of Metals Distribution in Peat Layers

Mathematical Modelling and Analysis, 2014
In this paper we consider averaging and finite difference methods for solving the 3-D boundary-value problem in multilayered domain. We consider the metals Fe and Ca concentration in the layered peat blocks. Using experimental data the mathematical model
Ilmars Kangro, Harijs Kalis, Aigars Gedroics, Erika Teirumnieka, Edmunds Teirumnieks   +4 more
doaj   +1 more source

Quasilinear second order elliptic systems and topological degree

, 2005
We consider a large class of quasilinear second order elliptic systems of the form       - ∑α,β=1N aαβ(x,u(x)),∇u(x))∂2αβu(x) + b(x,u(x),∇u(x)) = 0, where x varies in an unbounded domain Ω of the Euclidean space RN and u = (u1,...,um) is a vector of functions.
openaire   +1 more source

Opportunities of Semiconducting Oxide Nanostructures as Advanced Luminescent Materials in Photonics

Advanced Materials, EarlyView.
The review discusses the challenges of wide and ultrawide bandgap semiconducting oxides as a suitable material platform for photonics. They offer great versatility in terms of tuning microstructure, native defects, doping, anisotropy, and micro‐ and nano‐structuring. The review focuses on their light emission, light‐confinement in optical cavities, and
Ana Cremades, Pedro Hidalgo, David Maestre, Ruth Martínez‐Casado, Emilio Nogales, Beatriz Rodríguez, G. Cristian Vásquez, Bianchi Méndez   +7 more
wiley   +1 more source

The chaotic behavior and traveling wave solutions of the conformable extended Korteweg–de-Vries model

Open Physics
In this article, the phase portraits, chaotic patterns, and traveling wave solutions of the conformable extended Korteweg–de-Vries (KdV) model are investigated.
Liu Chunyan
doaj   +1 more source

3D Anodic Alumina Nanoarchitectures: A Decade of Progress from Foundational Science to Functional Metamaterials

Advanced Materials, EarlyView.
Ordered three‐dimensional anodic aluminum oxide (3D‐AAO) nanoarchitectures with longitudinal and transverse pores enable architecture‐driven metamaterials. The review maps fabrication advances, including hybrid pulse anodization, and shows how 3D‐AAO templates tailor properties across magnetism, energy, catalysis, and sensing.
Marisol Martín‐González
wiley   +1 more source