Results 11 to 20 of about 8,988 (223)
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Adomian, G., Meyers, R.E.
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Controllability of the Ginzburg–Landau equation [PDF]
This Note investigates the boundary controllability, as well as the internal controllability, of the complex Ginzburg–Landau equation. Null-controllability results are derived from a Carleman estimate and an analysis based upon the theory of sectorial operators.
Rosier, Lionel, Zhang, Bing-Yu
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BOUNDARY PROBLEMS FOR THE GINZBURG–LANDAU EQUATION [PDF]
We provide a study at the boundary for a class of equations including the Ginzburg–Landau equation as well as the equation of travelling waves for the Gross–Pitaevskii model. We prove Clearing-Out results and an orthogonal anchoring condition of the vortex on the boundary for the Ginzburg–Landau equation with magnetic field.
Chiron, David
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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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On the Analyticity for the Generalized Quadratic Derivative Complex Ginzburg-Landau Equation
We study the analytic property of the (generalized) quadratic derivative Ginzburg-Landau equation (1/2⩽α⩽1) in any spatial dimension n⩾1 with rough initial data.
Chunyan Huang
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Nonequilibrium dynamics in the complex Ginzburg-Landau equation [PDF]
11 pages, 5 ...
Puri, Sanjay +2 more
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Modeling small-angle scattering data of porous and/or bicontinuous structures in <i>n</i> dimensions. [PDF]
A small‐angle scattering fitting function is derived for porous materials with arbitrary fractal dimension. It includes a correlation peak and a power law at higher q.Fractal structures are often observed in small‐angle scattering experiments where a simple power law q−α describes the scattering intensity over many orders of magnitude.
Frielinghaus H.
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Ginzburg–Landau equations and their generalizations
The Ginzburg-Landau equations were proposed in the superconductivity theory to describe mathematically the intermediate state of superconductors in which the normal conductivity is mixed with the superconductivity. It was understood later on that these equations play an important role also in various problems of mathematical physics.
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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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