Results 61 to 70 of about 3,061,238 (284)

On some rotational flows of non-integer order rate type fluids with shear stress on the boundary

Ain Shams Engineering Journal, 2018
This article presents rotational flows of some rate type fluids with non-integer order derivatives. The fluid fills an infinite straight circular cylinder and its motion is generated by a time dependent torsion, applied to the surface of the cylinder. As
Azhar Ali Zafar, Nehad Ali Shah, Niat Nigar   +2 more
doaj   +1 more source

Computing all integer solutions of a genus 1 equation [PDF]

The Elliptic Logarithm Method has been applied with great successto the problem of computing all integer solutions of equations ofdegree 3 and 4 defining elliptic curves. We extend this methodto include any equation f(u,v)=0 that defines a curve of genus
Stroeker, R.J., Tzanakis, N.
core  

Coherent Absorption Reveals Colors Hidden in a Grey Fabry–Pérot Cavity

Advanced Optical Materials, EarlyView.
A dielectric thin film shows colors depending on its thickness; this effect can be used to encode information normally accessible through single‐beam spectroscopy. We developed a method to conceal this kind of information, based on coating the dielectric with a matched conductor, that suppresses the color‐bearing thin‐film resonances.
Giuseppe E. Lio, Giulio Carotta, Lorenzo Lavista, Andrea Camposeo, Giacomo Venturi, Agnese Guernieri, Alessandro Pitanti, Simon A. R. Horsley, Giuseppe C. La Rocca, Alessandro Tredicucci, Simone Zanotto   +10 more
wiley   +1 more source

Basis‐Independent Geometric Phase Modulation in Circularly Birefringent Plasmonic Structures

Advanced Optical Materials, EarlyView.
Here we introduce a plasmonic metasurface composed of spatially rotated chiral spiral unit cells designed to produce space‐variant circular retardance. This generates a geometric phase ramp equivalent to a blazed grating, leading to polarization dependent diffraction orders in momentum space.
Pasha Goz, Akash Das, Andre Yaroshevsky, Yuri Gorodetski   +3 more
wiley   +1 more source

A new epidemic model of sexually transmittable diseases: a fractional numerical approach

Scientific Reports
This study aims at investigating the dynamics of sexually transmitted infectious disease (STID), which is serious health concern. In so doing, the integer order STID model is progressed in to the time-delayed non-integer order STID model by introducing ...
Mudassar Rafique, Muhammad Aziz Ur Rehamn, Aisha M. Alqahtani, Muhammad Rafiq, A. F. Aljohani, Zafar Iqbal, Nauman Ahmed, Shafiullah Niazai, Ilyas Khan   +8 more
doaj   +1 more source

Exact Solutions for the Sharma–Tasso–Olver Equation via the Sardar Subequation Method with a Comparison between Atangana Space–Time Beta-Derivatives and Classical Derivatives

Mathematics
The Sharma–Tasso–Olver (STO) equation is a nonlinear, double-dispersive, partial differential equation that is physically important because it provides insights into the behavior of nonlinear waves and solitons in various physical areas, including fluid ...
Chanidaporn Pleumpreedaporn, Elvin J. Moore, Sekson Sirisubtawee, Nattawut Khansai, Songkran Pleumpreedaporn   +4 more
doaj   +1 more source

Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots

Advanced Robotics Research, EarlyView.
A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun, Liang Zhang, Jianwen Zeng, Xuefeng Wang   +3 more
wiley   +1 more source

Exact solutions of time-delay integer- and fractional-order advection equations

Results in Applied Mathematics
Transport phenomena play a vital role in various fields of science and engineering. In this work, exact solutions are derived for advection equations with integer- and fractional-order time derivatives and a constant time-delay in the spatial derivative.
C.N. Angstmann, S.-J.M. Burney, D.S. Han, B.I. Henry, Z. Xu   +4 more
doaj   +1 more source

Data‐Driven Bulldozer Blade Control for Autonomous Terrain Leveling

Advanced Robotics Research, EarlyView.
A simulation‐driven framework for autonomous bulldozer leveling is presented, combining high‐fidelity terramechanics simulation with a neural‐network‐based reduced‐order model. Gradient‐based optimization enables efficient, low‐level blade control that balances leveling quality and operation time.
Harry Zhang, Ganesh Arivoli, Huzaifa Unjhawala, Luning Bakke, Radu Serban, Dan Negrut   +5 more
wiley   +1 more source

On the integer solutions of exponential equations in function fields [PDF]

Annales de l'Institut Fourier, 2004
This paper is concerned with the estimation of the number of integer solutions to exponential equations in several variables, over function fields. We develop a method which sometimes allows to replace known exponential bounds with polynomial ones. More generally, we prove a counting result (Thm.
openaire   +2 more sources