Results 11 to 20 of about 8,938 (181)
Random Attractors for Stochastic Ginzburg-Landau Equation on Unbounded Domains [PDF]
We prove the existence of a pullback attractor in L2(ℝn) for the stochastic Ginzburg-Landau equation with additive noise on the entire n-dimensional space ℝn.
Qiuying Lu, Guifeng Deng, Weipeng Zhang
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Nonstationary Superconductivity: Quantum Dissipation and Time-Dependent Ginzburg-Landau Equation [PDF]
Transport equations of the macroscopic superfluid dynamics are revised on the basis of a combination of the conventional (stationary) Ginzburg-Landau equation and Schrödinger's equation for the macroscopic wave function (often called the order parameter)
Anatoly A. Barybin
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Bifurcations of Nonconstant Solutions of the Ginzburg-Landau Equation [PDF]
We study local and global bifurcations of nonconstant solutions of the Ginzburg-Landau equation from the families of constant ones. As the topological tools we use the equivariant Conley index and the degree for equivariant gradient maps.
Norimichi Hirano, Sławomir Rybicki
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Schrodinger-Chern-Simons vortex dynamics [PDF]
We study the motion of vortices in the planar Ginzburg-Landau model with Schrodinger-Chern-Simons dynamics. We compare the moduli space approximation with the results of numerical simulations of the full field theory and find that there is agreement if ...
Paul Sutcliffe +5 more
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Robust a priori and a posteriori error analysis for the approximation of Allen–Cahn and Ginzburg–Landau equations past topological changes [PDF]
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
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This article obtains the optical solitons of the complex fractional Ginzburg–Landau equation by the hypothesis of traveling wave and generalized projective Riccati equation scheme.
Saima Arshed +4 more
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The equation of state for metal-doped ferroelectrics within the Weiss model
This paper presents a theoretical model for describing the thermodynamic properties of doped ferroelectric crystals based on a modified Weiss mean-field approach.
Ivan A. Starkov +2 more
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A Fourth Order Energy Dissipative Scheme for a Traffic Flow Model
We propose, analyze and numerically validate a new energy dissipative scheme for the Ginzburg–Landau equation by using the invariant energy quadratization approach.
Xiaowei Chen, Mingzhan Song, Songhe Song
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Conservative Finite-Difference Scheme for 1D Ginzburg–Landau Equation
In this study, our attention is focused on deriving integrals of motion (conservation laws; invariants) for the problem of an optical pulse propagation in an optical fiber containing an optical amplifier or attenuator because, to date, such invariants ...
Vyacheslav Trofimov +5 more
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Controllability of the Ginzburg-Landau equation [PDF]
International audienceThis Note investigates the boundary controllability, as well as the internal controllability, of the complex Ginzburg-Landau equation.
Rosier, Lionel +3 more
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