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Fractional Ginzburg-Landau Equation
2010Complex Ginzburg-Landau equation (Aranson and Kramer, 2002) is one of the most-studied equations in physics. This equation describes a lot of phenomena including nonlinear waves, second-order phase transitions, and superconductivity. We note that the Ginzburg-Landau equation can be used to describe the evolution of amplitudes of unstable modes for any ...
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Vortices in Ginzburg-Landau equations
1998Summary: GL models were first introduced by V. Ginzburg and L. Landau around \(1950\) in order to describe superconductivity. Similar models appeared soon after for various phenomena: Bose condensation, superfluidity, non linear optics. A common property of these models is the major role of topological defects, termed in our context vortices.
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On the numerical controllability of the Ginzburg-Landau equation
Communications to SIMAI Congress, 2006Garzon R, Valente V
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Solving the Ginzburg-Landau Equations with Magnetic Translation Group
Journal of the Physical Society of Japan, 1998Takafumi Kita, Kita Takafumi
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Dissipative Solitons in Coupled Complex Ginzburg–Landau Equations
Journal of the Physical Society of Japan, 2009Boris Malomed +2 more
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Controllability and Observability of Some Stochastic Complex Ginzburg--Landau Equations
SIAM Journal on Control and Optimization, 2017Xiaoyu Fu
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Dynamics of the Ginzburg-Landau equations of superconductivity
Nonlinear Analysis: Theory, Methods & Applications, 1998Hans G Kaper
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Existence of Time Periodic Solutions for the Ginzburg-Landau Equations of Superconductivity
Journal of Mathematical Analysis and Applications, 1999Bixiang Wang
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