Results 71 to 80 of about 530,977 (309)
Symmetries of the near horizon of a Black Hole by Group Theoretic methods [PDF]
, 2006 We use group theoretic methods to obtain the extended Lie point symmetries of the quantum dynamics of a scalar particle probing the near horizon structure of a black hole.
Bluman G. N. +12 more
core +3 more sources
Advanced Engineering Materials, Volume 27, Issue 8, April 2025.A methodology for establishing an ontology‐augmented structural digital twin for fiber‐reinforced polymer structures dedicated to individual lifetime prediction, in this case, a wind turbine rotor blade, is introduced. The methodology resembles the manufacturing as well as the operation of the structure.
Marc Luger +6 more
wiley +1 more source
Nonlinear Analysis, 2015 The Lie group analysis method is performed for the nonlinear perturbed Burgers equation and the time fractional nonlinear perturbed Burgers equation. All of the point symmetries of the equations are constructed.
Gangwei Wang, Tianzhou Xu
doaj +1 more source
Mechanical Metamaterials for Bioengineering: In Vitro, Wearable, and Implantable Applications
Advanced Engineering Materials, Volume 27, Issue 7, April 2025.Mechanical metamaterials with engineered architectures exhibit properties that differ from and greatly surpass those of their constituent bulk materials. This review summarizes the applications of mechanical metamaterials in bioengineering, focusing on advances in the last 5 years.
Madihah Kazim +2 more
wiley +1 more source
Bioinspired Design of Isotropic Lattices with Tunable and Controllable Anisotropy
Advanced Engineering Materials, EarlyView.This study introduces nested isotropic lattices, integrating architectural elements like nesting orders and orientations inspired by bioarchitectures. The design enables tunable anisotropy across nine mono‐nest and twenty multi‐nest lattices with 252 parametric variations, demonstrating transitions from shear‐ to tensile‐compression‐dominant behaviors ...
Ramalingaiah Boda +2 more
wiley +1 more source
Nonlinear potential filtration equation and global actions of Lie symmetries
Electronic Journal of Differential Equations, 2009 The Lie point symmetries of the nonlinear potential filtration equation break into five cases. Contact symmetries provide another two cases. By restricting to a natural class of functions, we show that these symmetries exponentiate to a global action ...
Mark R. Sepanski
doaj
Group Analysis of Equal-Width Equation
European Journal of Mathematical Analysis, 2023 We study a third-order nonlinear equal width equation, which has been used for simulation of a one-dimensional wave propagation in a non-linear medium with dispersion process, by symmetry analysis.
Joseph Owuor Owino
doaj +1 more source
, 1997 The symmetry algebra $P_\infty = W_\infty \oplus H \oplus I_\infty$ of integrable systems is defined. As an example the classical Sophus Lie point symmetries of all higher KP equations are obtained.
Orlov, A. Yu., Winternitz, P.
core +1 more source
Advanced Engineering Materials, EarlyView.Mechanical metamaterials capable of compressive stiffness tunability, shape morphing, and post‐fabrication modularity. Herein, the 3D unit cell design is based on an assembly of bistable von Mises trusses that exhibit a switch in compressive stiffness and resting height from one stable state to the other.
Yannis Liétard +2 more
wiley +1 more source
Advances in Mathematical Physics, 2014 The transport of chemicals through soils to the groundwater or precipitation at the soils surfaces leads to degradation of these resources. Serious consequences may be suffered in the long run.
M. M. Potsane, R. J. Moitsheki
doaj +1 more source