Results 51 to 60 of about 978 (180)
MathematicsIn this paper, we propose a convexification method for the reversed-time problem of a complex Ginzburg–Landau equation by introducing a new Carleman estimate for the complex Ginzburg–Landau operator, which holds on an arbitrary time interval.
Hanyue Qiao, Ganghua Yuan
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Stochastic and Higher-Order Effects on Exploding Pulses
Applied Sciences, 2017 The influence of additive noise, multiplicative noise, and higher-order effects on exploding solitons in the framework of the prototype complex cubic-quintic Ginzburg-Landau equation is studied.
Orazio Descalzi, Carlos Cartes
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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 +7 more
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Fractal and FractionalThis 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
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Damped nonlinear Ginzburg-Landau equation with saturation. Part I. Existence of solutions on general domains [PDF]
Opuscula MathematicaWe 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
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Global attractors for the complex Ginzburg–Landau equation
Journal of Mathematical Analysis and Applications, 2014 This paper studies the following initial-boundary value for the complex Ginzburg-Landau equation \[ \begin{aligned} \frac{\partial u}{\partial t}-(\lambda+i \alpha)\Delta & u+(\kappa+i\beta)|u|^{p-2}u-\gamma u=0,\;\;(x,t)\in \Omega\times \mathbb{R}^+,\\ & u=0,\;\;(x,t)\in \partial \Omega\times \mathbb{R}^+,\\ & u(x,0)=u_0(x),\;\;x \in \Omega,\end ...
Li, Fang, You, Bo
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Relative Periodic Solutions of the Complex Ginzburg--Landau Equation [PDF]
SIAM Journal on Applied Dynamical Systems, 2005 32 pages, 12 ...
Vanessa López +3 more
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Advanced Functional Materials, EarlyView.Ferroelectric nanoclusters create local internal fields in a normally non‐switchable polar film because of polarization mismatch at their interfaces. That field opposes polarization in the regions with larger polarization and reinforces polarization in the regions with smaller polarization.
Anna N. Morozovska +5 more
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Advanced Science, EarlyView.Magnetoelectric nanoparticles (MENPs) enable fully wireless, minutely invasive neuromodulation, and potentially neural recording, by converting magnetic into electric and, conversely, electric into magnetic fields, respectively, at high spatiotemporal resolution.
Elric Zhang +14 more
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Advancing Energy Materials by In Situ Atomic Scale Methods
Advanced Energy Materials, Volume 15, Issue 11, March 18, 2025.Progress in in situ atomic scale methods leads to an improved understanding of new and advanced energy materials, where a local understanding of complex, inhomogeneous systems or interfaces down to the atomic scale and quantum level is required. Topics from photovoltaics, dissipation losses, phase transitions, and chemical energy conversion are ...
Christian Jooss +21 more
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