Results 61 to 70 of about 23,473 (246)

Complex Ginzburg–Landau equations with dynamic boundary conditions [PDF]

Nonlinear Analysis: Real World Applications, 2018
50 ...
Wellington José Corrêa, Türker Özsarı   +1 more
openaire   +5 more sources

A High-Precision Numerical Method for the Fractional-in-Time Complex Ginzburg–Landau Equation with Periodic Boundary Condition

Fractal and Fractional
This paper investigates the chaotic and pattern dynamics of the time-fractional Ginzburg–Landau equation. First, we propose a high-precision numerical method that combines finite difference schemes with an improved Grünwald–Letnikov fractional derivative
Wei Zhang, Yulan Wang
doaj   +1 more source

Damped nonlinear Ginzburg-Landau equation with saturation. Part I. Existence of solutions on general domains [PDF]

Opuscula Mathematica
We study the complex Ginzburg-Landau equation posed on possibly unbounded domains, including some singular and saturated nonlinear damping terms. This model interpolates between the nonlinear Schrödinger equation and dissipative parabolic dynamics ...
Pascal Bégout, Jesús Ildefonso Díaz
doaj   +1 more source

Phase Slips and the Eckhaus Instability

, 1995
We consider the Ginzburg-Landau equation, $ \partial_t u= \partial_x^2 u + u - u|u|^2 $, with complex amplitude $u(x,t)$. We first analyze the phenomenon of phase slips as a consequence of the {\it local} shape of $u$.
Angenent S, Borwein B, Bridges T J, C E Wayne, Collet P, Collet P, Doelman A, Eckmann J-P, Gallay Th, Hale J K, J -P Eckmann, Kirrmann P, Schneider G, Schneider G, T Gallay, Temam R, Tribelsky M I, Tribelsky M I, van Harten A   +18 more
core   +3 more sources

Spatially Modulated Morphotropic Phase Boundaries in a Compressively Strained Multiferroic Thin Film

Advanced Functional Materials, EarlyView.
ABSTRACT The coexisting rhombohedral‐like (R′, MA) and tetragonal‐like (T′, MC) monoclinic phases in compressively strained bismuth ferrite thin films exhibit exceptional piezoelectric and magnetic properties. While previous studies have largely focused on probing the morphotropic phase boundaries (MPBs) comprising ordered R′/T′ twins, their self ...
Ting‐Ran Liu, Xiangwei Guo, Sajid Husain, Maya Ramesh, Pushpendra Gupta, Darrell Schlom, Ramamoorthy Ramesh, Yu‐Tsun Shao   +7 more
wiley   +1 more source

Global Solvability of the Cauchy Problem for the Landau-Lifshitz-Gilbert Equation in Higher Dimensions

, 2011
We prove existence, uniqueness and asymptotics of global smooth solutions for the Landau-Lifshitz-Gilbert equation in dimension $n \ge 3$, valid under a smallness condition of initial gradients in the $L^n$ norm.
Melcher, Christof
core   +1 more source

Decoding THz‐Driven Dynamic Fingerprints of Ferroelectric Nanotwin Networks

Advanced Materials, EarlyView.
ABSTRACT Ultrafast polarization dynamics in ferroelectrics are of considerable interest for high‐speed tunable dielectrics and electro‐optics. Extended domain wall networks formed in ferroelectric twin nanodomains can support collective dynamics in the terahertz regime but require techniques that track polarization and strain evolution driven by ...
Xiaojiang Li, Aiden Ross, Vladimir A. Stoica, Sujit Das, Sankalpa Hazra, Huaiyu (Hugo) Wang, Hari Padma, Matthias C. Hoffmann, Patrick Kramer, Sanghoon Song, Silke Nelson, Takahiro Sato, Diling Zhu, Ramamoorthy Ramesh, Lane W. Martin, Yue Cao, John W. Freeland, Aaron M. Lindenberg, Haidan Wen, Long‐Qing Chen, Venkatraman Gopalan   +20 more
wiley   +1 more source

Diffusion–Model–Driven Discovery of Ferroelectrics for Photocurrent Applications

Advanced Science, EarlyView.
We developed a diffusion model–based generative AI and high‐throughput screening framework that accelerates the discovery of photovoltaic ferroelectrics. By coupling AI driven crystal generation with machine learning and DFT screening, we identified Ca3P2 and LiCdP as new ferroelectric materials exhibiting strong polarization, feasible switching ...
Byung Chul Yeo, Hyun‐Jae Lee, Sungwoo Kang, Jung‐Hoon Lee   +3 more
wiley   +1 more source

Defect Chaos of Oscillating Hexagons in Rotating Convection

, 1999
Using coupled Ginzburg-Landau equations, the dynamics of hexagonal patterns with broken chiral symmetry are investigated, as they appear in rotating non-Boussinesq or surface-tension-driven convection. We find that close to the secondary Hopf bifurcation
A. M. Soward, A. Torcini, A. Torcini, B. Echebarria, B. Echebarria, Blas Echebarria, F. Busse, F. Busse, G. Ahlers, G. Grinstein, G. Huber, G. Küppers, H. Chaté, Hermann Riecke, J. Burguete, J. Lauzeral, J. Millán-Rodríguez, J. Swift, M. C. Cross, M. Dennin, M. Treiber, P. Coullet, P. Manneville, R. B. Hoyle, R. Montagne, S. Popp, S. W. Morris, Y. C. Hu   +27 more
core   +1 more source

Finite-parameter feedback control for stabilizing the complex Ginzburg-Landau equation [PDF]

, 2017
In this paper, we prove the exponential stabilization of solutions for complex Ginzburg-Landau equations using finite-parameter feedback control algorithms, which employ finitely many volume elements, Fourier modes or nodal observables (controllers).
Kalantarova, Jamila, Özsarı, Türker
core   +2 more sources