Results 61 to 70 of about 978 (180)
The Inviscid Limit of the Complex Ginzburg–Landau Equation
Journal of Differential Equations, 1998 The paper deals with the complex two-parameter Ginzburg-Landau equation. If both parameters are equal to zero, then this equation formally becomes the nonlinear Schrödinger equation. The author investigates the problem whether the solution of the Ginzburg-Landau equation tends to the solution of the Schrödinger equation.
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Advanced Physics Research, EarlyView.A two‐band Ginzburg–Landau model was applied to investigate the superconducting properties of and. Analytical expressions for critical magnetic fields, coherence length, penetration depth, and anisotropic were derived, showing strong agreement with experimental observations and effectively describing anisotropic multi‐band superconductivity.
Tsadik Kidanemariam +2 more
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Some stability results for the complex Ginzburg–Landau equation [PDF]
Communications in Contemporary Mathematics, 2019 Using some classical methods of dynamical systems, stability results and asymptotic decay of strong solutions for the complex Ginzburg–Landau equation (CGL), [Formula: see text] with [Formula: see text], are obtained. Moreover, we show the existence of bound-states under certain conditions on the parameters and on the domain. We conclude with the proof
Correia, Simão, Figueira, Mário
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Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar +3 more
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A Polar Topology Network Induces Elastic Stiffening in Ferroelectric Oxide Superlattices
Small, EarlyView.The periodicity in BiFeO3/SrTiO3 superlattices tunes the system into a dense, elastically constrained polar texture state. This topology‐rich regime reveals a collective mechanical response in which interactions among polar topological defects restrict local deformations, producing a pronounced elastic stiffening.
Mohammad Moein Seyfouri +10 more
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The Existence of Exponential Attractor for Discrete Ginzburg-Landau Equation
Discrete Dynamics in Nature and Society, 2015 This paper studies the following discrete systems of the complex Ginzburg-Landau equation: iu˙m-(α-iε)(2um-um+1-um-1)+iκum+βum2σum=gm, m∈Z. Under some conditions on the parameters α, ε, κ, β, and σ, we prove the existence of exponential attractor for ...
Guangyin Du, Zeqi Zhu, Caidi Zhao
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ENERGY &ENVIRONMENTAL MATERIALS, Volume 9, Issue 6, November 2026.This article reviews the fundamental consequences of strong correlations on excitations and elementary steps of energy conversion leading to new opportunities to control energy conversion. Examples include friction at surfaces, thermal transport, and photovoltaic energy conversion.
Vasily Moshnyaga +14 more
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Advances in Mathematical Physics, 2021 In this study, the exact traveling wave solutions of the time fractional complex Ginzburg-Landau equation with the Kerr law and dual-power law nonlinearity are studied.
Zhao Li, Tianyong Han
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Results in Physics, 2023 In this paper, the cubic–quartic complex Ginzburg–Landau (CGL) equation is investigated by using the trial function method. The traveling wave hypothesis is applied to convert the CGL equation to an ordinary differential equation (ODE), which is ...
Chen Peng, Zhao Li
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Advanced Functional Materials, Volume 36, Issue 77, 24 September 2026.HfxZr1−xO2${\rm Hf}_x{\rm Zr}_{1-x}{\rm O}_2$ offers CMOS‐compatible nanoscale ferroelectricity yet suffers from a high Ec${\rm E}_c$ demanding large operating voltages. A unified phase‐field framework spanning AFE/FE/DE phases shows how FE grains soften neighboring AFE grains over λ$\lambda$ ≈$\approx$ 22–37 nm.
P. Pankaj +4 more
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