Results 41 to 50 of about 1,862 (261)

Minkowski and Galilei/Newton Fluid Dynamics: A Geometric 3 + 1 Spacetime Perspective

Fluids, 2018
A kinetic theory of classical particles serves as a unified basis for developing a geometric 3 + 1 spacetime perspective on fluid dynamics capable of embracing both Minkowski and Galilei/Newton spacetimes. Parallel treatment of these cases on as common a
Christian Cardall
doaj   +1 more source

Numerical Modeling of Photothermal Self‐Excited Composite Oscillators

Advanced Robotics Research, EarlyView.
We present a numerical framework for simulating photothermal self‐excited oscillations. The driving mechanism is elucidated by highlighting the roles of inertia and overshoot, as well as the phase lag between the thermal moment and the oscillation angle, which together construct the feedback loop between the system state and the environmental stimulus.
Zixiao Liu, Ryan R. Rusch, Zheng Wu, Chi Chen, Pengju Shi, Hao Qiu, Ximin He   +6 more
wiley   +1 more source

A Perspective on Interactive Theorem Provers in Physics

Advanced Science, EarlyView.
Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley   +1 more source

Transfinite Elements Using Bernstein Polynomials

Axioms
Transfinite interpolation, originally proposed in the early 1970s as a global interpolation method, was first implemented using Lagrange polynomials and cubic Hermite splines.
Christopher Provatidis
doaj   +1 more source

In‐Process Magnetization for 3D Printing of Magnetorheological Elastomer with Heterogeneous Magnetic Profile for Anisotropic Actuation

Advanced Science, EarlyView.
Fully programmable, in‐process 3D magnetization integrated with multi‐material printing enables soft magnetic systems with precise actuation and sensing. Discrete and continuous magnetization profiles drive bending, morphing, and locomotion, demonstrated through strain‐sensing elements, dragonfly‐inspired wings, octopus‐like tentacles, and a serpentine
Phillip Glass, David Hassouna, Udena Epitawala Arachchige, Hyeon Yun Jeong, Sung Hyun Park, Daeha Joung   +5 more
wiley   +1 more source

A Non-Canonical Classical Mechanics

AppliedMath
Based on noncommutative relations and the Dirac canonical dequantization scheme, I generalize the canonical Poisson bracket to a deformed Poisson bracket and develop a non-canonical formulation of the Poisson, Hamilton, and Lagrange equations in the ...
Shi-Dong Liang
doaj   +1 more source

Optimal Control of a Stefan Problem Fully Coupled with Incompressible Navier-Stokes Equations and Mesh Movement

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
The optimal control of moving boundary problems receives growing attention in science and technology. We consider the so called two-phase Stefan problem that models a solid and a liquid phase separated by a moving interface. The Stefan problem is coupled
Baran Bjőrn, Benner Peter, Heiland Jan, Saak Jens   +3 more
doaj   +1 more source

Real‐Time Stress Visualization of Hydrogels Enabled by Supramolecularly Switched Stretch‐Induced Phase Separation

Advanced Science, EarlyView.
Supramolecular hydrogels enable real‐time visualization of mechanical stress through supramolecular switching mechanotransduction. Adamantane‐modified cellulose functions as a responsive domain that undergoes an on–off transition between hydrated and dehydrated states via reversible β‐cyclodextrin–adamantane complexation and decomplexation.
Sooyeon Noh, Akihide Sugawara, Naoaki Ishihara, Takashi Konishi, Yuki Ueda, Ryuhei Motokawa, Yoshinori Takashima, Hiroshi Uyama   +7 more
wiley   +1 more source

An exciting Approach to Theoretical Spectroscopy

Advanced Science, EarlyView.
ABSTRACT Theoretical spectroscopy, and more generally, electronic‐structure theory, are powerful concepts for describing the complex many‐body interactions in materials. They cover methods from ground‐state properties to lattice excitations and light‐matter interaction, including time‐resolved variants.
Martí Raya‐Moreno, Alexander Buccheri, Noah Alexy Dasch, Nasrin Farahani, Ignacio Gonzalez Oliva, Andris Gulans, Seokhyun Hong, Manoar Hossain, Hannah Kleine, Martin Kuban, Sven Lubeck, Benedikt Maurer, Pasquale Pavone, Fabian Peschel, Daria Popova‐Gorelova, Lu Qiao, Elias Richter, Santiago Rigamonti, Ronaldo Rodrigues Pela, Maximilian Schebek, Kshitij Sinha, Daniel T. Speckhard, Jan Stutz, Sebastian Tillack, Dmitry Tumakov, Jānis Užulis, Mara Voiculescu, Cecilia Vona, Mao Yang, Claudia Draxl   +29 more
wiley   +1 more source

The Formulations of Classical Mechanics with Foucault’s Pendulum

Physics, 2020
Since the pioneering works of Newton (1643–1727), mechanics has been constantly reinventing itself: reformulated in particular by Lagrange (1736–1813) then Hamilton (1805–1865), it now offers powerful conceptual and mathematical tools for the exploration
Nicolas Boulanger, Fabien Buisseret
doaj   +1 more source