Results 151 to 160 of about 28,275 (337)

Fractional Boundary Layer Flow: Lie Symmetry Analysis and Numerical Solution

Mathematics
In this paper, we present a fractional version of the Sakiadis flow described by a nonlinear two-point fractional boundary value problem on a semi-infinite interval, in terms of the Caputo derivative.
Alessandra Jannelli, Maria Paola Speciale   +1 more
doaj   +1 more source

Lie Symmetry Analysis of Modified Diffusive Predator-prey Competition System of Equations

, 2020
In this paper, a nonlinear fourth order evolution equation is investigated by the Lie symmetry analysis approach. All the geometric vector fields and the Lie groups of the evolution equation are obtained.
T.J.O, Aminer, Odhiambo, Francis, M.E, Okoya   +2 more
core  

Template‐Confined Synthesis of Shape‐Engineered Single‐Crystal Gold Microplates in Lithographically‐Defined Polymeric Patterns

Advanced Functional Materials, EarlyView.
Single‐crystal gold microplates are high‐performance nanomaterials with an impressive wafer‐based application space. Progress has, however, been tempered by an inability to exert synthetic control over microplate size, shape, and positioning. In this work, control over these parameters is demonstrated using a seed‐mediated synthesis that both confines ...
Debasish Panda, Md Rashed Nizam, Walker J. Tuff, Collin C. Wyant, Maksym Zhukovskyi, Matthew R. Rosenberger, Botond Sánta, Edward C. Kinzel, Robert A. Hughes, Svetlana Neretina   +9 more
wiley   +1 more source

LIE SYMMETRY ANALYSIS AND INVARIANT SOLUTIONS OF THE GENERALIZED FIFTH-ORDER KDV EQUATION WITH VARIABLE COEFFICIENTS [PDF]

, 2013
Gangwei Wang, Xi-Qiang Liu, Yingyuan Zhang   +2 more
openalex   +1 more source

Lie algebra symmetry analysis of the Helfrich and Willmore surface shape equations

, 2014
We compute the Lie symmetry algebra of the equation of Helfrich surfaces and we show that it is the algebra of conformal vector fields of R2. We also show that in the particular case of the Willmore surfaces we have to add the homothety vector field of ...
Gianni Manno, Manno, Gianni, Manno, Giovanni, De Matteis, Giovanni, Giovanni De Matteis   +4 more
core   +1 more source

Glissile Interphase Boundaries Enable Collective Phase Switching in Epitaxial Polar Oxides

Advanced Functional Materials, EarlyView.
A triple point is identified in the phase diagram of low‐symmetry epitaxial BiFeO3 thin film along with an extended regime of phase competition associated with a flattened energy landscape. The electromechanical response is shown to be governed by correlated interphase‐boundary motion, including scale‐free avalanche dynamics characteristic of systems ...
Mohammad Moein Seyfouri, Oliver Paull, Ralph Bulanadi, Yasuhiro Sakamoto, Shintaro Yasui, Mikayla Lord, Mahak Chhabra, David Walker, Patrycja Paruch, Shery Chang, Nagarajan Valanoor, Daniel Sando   +11 more
wiley   +1 more source

Complex Connections between Symmetry and Singularity Analysis

Mathematical and Computational Applications
In this paper, it is noted that three apparently disparate areas of mathematics—singularity analysis, complex symmetry analysis and the distributional representation of special functions—have a basic commonality in the underlying methods used.
Asghar Qadir
doaj   +1 more source

Applications of dynamical systems with symmetry [PDF]

This thesis examines the application of symmetric dynamical systems theory to two areas in applied mathematics: weakly coupled oscillators with symmetry, and bifurcations in flame front equations.
Ashwin, Peter Brian
core  

Unraveling MXene Oxidation Mechanisms Under Realistic Gas Environments by In Situ Gas‐Cell TEM

Advanced Functional Materials, EarlyView.
Real‐time visualization of MXene degradation reveals a fundamental oxidation mechanism under oxygen and moisture environments. Using in situ gas‐cell electron microscopy, this study demonstrates that oxygen degradation drives a thermodynamically controlled high‐temperature transformation into mixed rutile/anatase phases.
Yongfa Cheng, Kunmo Koo, Zizhen Cai, Paty Meza, Yu Wen, Byungseok Seo, Yukun Liu, Xiaobing Hu, Vinayak P. Dravid   +8 more
wiley   +1 more source

Lie symmetry analysis and exact explicit solutions for general Burgers’ equation

, 2009
In this paper, the Lie symmetry analysis is performed for the general Burgers’ equation. The exact solutions and similarity reductions generated from the symmetry transformations are provided.
Li, Jibin, Zhang, Quanxin, Liu, Hanze
core   +1 more source