Results 41 to 50 of about 6,386,161 (167)
Robust a priori and a posteriori error analysis for the approximation of Allen–Cahn and Ginzburg–Landau equations past topological changes [PDF]
, 2010 A priori and a posteriori error estimates are derived for the numerical approximation of scalar and complex valued phase field models. Particular attention is devoted to the dependence of the estimates on a small parameter and to the validity of the ...
Rüdiger Müller +11 more
core +1 more source
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
wiley +1 more source
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
wiley +1 more source
Cauchy problem for the complex Ginzburg-Landau type Equation with $L^{p}$-initial data [PDF]
, 2014 summary:This paper gives the local existence of mild solutions to the Cauchy problem for the complex Ginzburg-Landau type equation $$ \dfrac {\partial u}{\partial t} -(\lambda +{\rm i} \alpha )\Delta u +(\kappa +{\rm i} \beta )|u|^{q-1}u-\gamma u=0 $$ in
Shimotsuma, Daisuke +2 more
core +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
doaj +1 more source
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
wiley +1 more source
The Ginzburg-Landau equation [PDF]
, 1995 The decomposition method is applied to the Ginzburg-Landau ...
Adomian, G., Meyers, R.E.
core +1 more source
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
doaj +1 more source