Results 71 to 80 of about 302,980 (283)

On the action principle for a system of differential equations

, 2007
We consider the problem of constructing an action functional for physical systems whose classical equations of motion cannot be directly identified with Euler-Lagrange equations for an action principle.
Banerjee R, D M Gitman, Darboux G, Dodonov V V Man'ko V I Skarzhinsky V D, Havas P, Sarlet W, V G Kupriyanov, von Helmholtz H   +7 more
core   +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

Restrictions on the geometry of the periodic vorticity equation [PDF]

, 2010
We prove that several evolution equations arising as mathematical models for fluid motion cannot be realized as metric Euler equations on the Lie group of all smooth and orientation-preserving diffeomorphisms on the circle.
Escher, Joachim, Wunsch, Marcus
core  

Microscale Mapping of Fiber Strain and Damage in Composite Wrinkled Laminates Using Computed Tomography Assisted Wide‐Angle X‐Ray Scattering

Advanced Science, EarlyView.
This study combines full‐field tomography with diffraction mapping to quantify radial (ε002$\varepsilon _{002}$) and axial (ε100$\varepsilon _{100}$) lattice strain in wrinkled carbon‐fiber specimens for the first time. Radial microstrain gradients (−14.5 µεMPa$\varepsilon \mathrm{MPa}$−1) are found to signal damage‐prone zones ahead of failure, which ...
Hoang Minh Luong, James Trevarthen, Igor Dolbnya, Wadwan Singhapong, Nicholas Pilato, Richard Butler, Jiraphant Srisuriyachot, Alexander J. G. Lunt   +7 more
wiley   +1 more source

Approximation of functions in Hölder’s class and solution of nonlinear Lane–Emden differential equation by orthonormal Euler wavelets [PDF]

Iranian Journal of Numerical Analysis and Optimization
In this article, a method has been developed for the solution of a non-linear Lane-Emden differential equation based on orthonormal Euler wavelet series.
H.C. Yadav, A. Yadav, S. Lal
doaj   +1 more source

A Blow-Up Criterion for the 3D Euler Equations Via the Euler-Voigt Inviscid Regularization

, 2015
We propose a new blow-up criterion for the 3D Euler equations of incompressible fluid flows, based on the 3D Euler-Voigt inviscid regularization. This criterion is similar in character to a criterion proposed in a previous work by the authors, but it is ...
Larios, Adam, Titi, Edriss S.
core  

Mild Focal Cooling Decouples Dendrites to Reconfigure Cortical Output

Advanced Science, EarlyView.
Mild cooling of the cortical surface selectively modulates apical dendritic excitability, plasticity, and somato‐dendritic coupling, while uncoupling these effects from basal dendrites, and reshapes apical‐driven responses in barrel cortex during whisker touch.
Meisam Habibi Matin, Shulan Xiao, Krishna Jayant   +2 more
wiley   +1 more source

Error Analysis and Model Adaptivity for Flows in Gas Networks

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
In the simulation and optimization of natural gas flow in a pipeline network, a hierarchy of models is used that employs different formulations of the Euler equations. While the optimization is performed on piecewise linear models, the flow simulation is
Stolwijk Jeroen J., Mehrmann Volker
doaj   +1 more source

Inherently Disordered Auxetic Metamaterials

Advanced Science, EarlyView.
Inherently disordered auxetic metamaterials based on random chiral Delaunay triangulations are designed and investigated using numerical simulations and experimental tests. These disordered frameworks exhibit orthotropic behavior and a large negative Poisson's ratio (ca.
Matteo Montanari, Reza Moghimimonfared, Andrea Spaggiari, Luke Mizzi   +3 more
wiley   +1 more source

Sub‐Unit‐Cell Logic Governs Transport in TPMS Architectures

Advanced Science, EarlyView.
ABSTRACT Next‐generation energy, thermal, and chemical systems require architectures capable of highly efficient transport across multiple length scales. Triply periodic minimal surfaces (TPMS), first conceptualized in 1865, offer inherently scalable geometries with exceptional transport potential, yet mechanistic links between topology and performance
Haozhang Zhong, Yipei He, Jiaxuan Wang, Chenyi Qian, Gerd E Schröder‐Turk, Raj Das, Junye Shi, Qi Tang, Zheda Ning, Wenjue Yi, Chuanwei Li, Jiangping Chen, Zeyao Chen, Binbin Yu, Jian LU, Jianfeng Gu, Ma Qian   +16 more
wiley   +1 more source