East European Journal of Physics, 2019 In this paper the stability of the non-uniformly rotating cylindrical plasma in the axial uniform magnetic field with the vertical temperature gradient is investigated.
Michael Kopp +2 more
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Pullback attractors for the non-autonomous complex Ginzburg–Landau type equation with p-Laplacian
Nonlinear Analysis, 2015 In this paper, we are concerned with the long-time behavior of the non-autonomous complex Ginzburg–Landau type equation with p-Laplacian. We first prove the existence of pullback absorbing sets in L2(Ω)∩W01,p(Ω)∩Lq(Ω) for the process {U(t,τ)}t⩾τ ...
Fang Li, Bo You
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Fractal modification of complex Ginzburg–Landau model arising in the oscillating phenomena
Results in Physics, 2020 The complex Ginzburg-Landau Equation (CGLE) is one of the non-trivial models for addressing the dynamics of oscillating, highly nonlinear processes right before the start of oscillations. This paper presents the complex Ginzburg-Landau fractal model with
Yasir Khan
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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
wiley +1 more source
On the theory of current states in superconducting junctions of SNINS type
Condensed Matter Physics, 2006 The behavior of the order parameter close to the NS interface in an SNINS junction is considered. To this end, a linear integral equation, which is valid near the superconductor-normal metal interface, is obtained and researched.
V.E.Sakhnyuk, A.V.Svidzynskyj
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Complex Ginzburg–Landau Equation with Generalized Finite Differences
Mathematics, 2020 In this paper we obtain a novel implementation for irregular clouds of nodes of the meshless method called Generalized Finite Difference Method for solving the complex Ginzburg–Landau equation.
Eduardo Salete +5 more
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Dual Variational Formulations for a Large Class of Non-Convex Models in the Calculus of Variations
Mathematics, 2022 This article develops dual variational formulations for a large class of models in variational optimization. The results are established through basic tools of functional analysis, convex analysis and duality theory.
Fabio Silva Botelho
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On the Validity of the degenerate Ginzburg—Landau equation [PDF]
Mathematical Methods in the Applied Sciences, 1997 Summary: The Ginzburg-Landau equation which describes nonlinear modulation of the amplitude of the basic pattern does not give a good approximation when the Landau constant (which describes the influence of the nonlinearity) is small. In this paper, a derivation of the so-called degenerate (or generalized) Ginzburg-Landau (dGL)-equation is given.
openaire +4 more sources
A non-existence result for the Ginzburg–Landau equations [PDF]
Comptes Rendus. Mathématique, 2009 We consider the stationary Ginzburg–Landau equations in R d , d = 2 ,
Kachmar, Ayman, Persson, Mikael
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Stability of Plane Wave Solutions in Complex Ginzburg--Landau Equation with Delayed Feedback
, 2014 We perform bifurcation analysis of plane wave solutions in a one-dimensional complex cubic-quintic Ginzburg--Landau equation with delayed feedback.
Vladimirov, Andrei G. +3 more
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