Results 31 to 40 of about 1,068 (186)
Topological methods for the Ginzburg-Landau equations
Journal de Mathématiques Pures et Appliquées, 1998 Summary: We consider the Ginzburg-Landau equation \[ - \Delta u = \varepsilon^{- 2} u \bigl( 1 - |u |^2 \bigr) \text{ in } \Omega, \quad u = g \text{ on } \partial \Omega, \] where \(\Omega\) is a domain in \(\mathbb{R}^2\), \(g : \partial \Omega \to \mathbb{C}\) is such that \(|g |= 1\) on \(\partial \Omega\), and \(\varepsilon > 0\) is a parameter ...
Almeida, Luís, Bethuel, Fabrice
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Nonequilibrium dynamics in the complex Ginzburg-Landau equation [PDF]
Physical Review E, 2001 11 pages, 5 ...
Puri, Sanjay +2 more
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Thermodynamic limit of the Ginzburg-Landau equations [PDF]
Nonlinearity, 1994 uuencoded dvi file (email: collet@orphee.polytechnique.fr)
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Triggered Fronts in the Complex Ginzburg Landau Equation [PDF]
Journal of Nonlinear Science, 2013 We study patterns that arise in the wake of an externally triggered, spatially propagating instability in the complex Ginzburg-Landau equation. We model the trigger by a spatial inhomogeneity moving with constant speed. In the comoving frame, the trivial state is unstable to the left of the trigger and stable to the right.
Ryan N. Goh, Arnd Scheel
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Abstract and Applied Analysis, 2013 The existence of the exponential attractors for coupled Ginzburg-Landau equations describing Bose-Einstein condensates and nonlinear optical waveguides and cavities with periodic initial boundary is obtained by showing Lipschitz continuity and the ...
Gui Mu, Jun Liu
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Limiting vorticities for the Ginzburg-Landau equations
Duke Mathematical Journal, 2003 The asymptotic limit of solutions to the Ginzburg-Landau equations in two dimensions is investigated. The authors study the Ginzburg-Landau system with magnetic field describing a superconductor in an applied magnetic field in the ``London limit'' of a Ginzburg-Landau parameter \(\kappa\) tending to infinity. The asymptotic behavior is examined of the `
Sandier, Etienne, Serfaty, Sylvia
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Fractal and FractionalIn this article, we investigate the regularization and qualitative properties of parabolic Ginzburg–Landau equations in variable exponent Herz spaces. These spaces capture both local and global behavior, providing a natural framework for our analysis. We
Waqar Afzal +3 more
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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
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Quantization effects for multi-component Ginzburg-Landau vortices
Advanced Nonlinear StudiesIn this paper, we are concerned with n-component Ginzburg-Landau equations on R2 ${\mathbb{R}}^{2}$ . By introducing a diffusion constant for each component, we discuss that the n-component equations are different from n-copies of the single Ginzburg ...
Hadiji Rejeb, Han Jongmin, Sohn Juhee
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Advanced Functional Materials, EarlyView.Ferroelectric nanoclusters create local internal fields in a normally non‐switchable polar film because of polarization mismatch at their interfaces. That field opposes polarization in the regions with larger polarization and reinforces polarization in the regions with smaller polarization.
Anna N. Morozovska +5 more
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