Results 61 to 70 of about 6,114 (231)
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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Numerical simulation of multidimensional nonlinear fractional Ginzburg-Landau equations [PDF]
, 2020 Ginzburg-Landau equation has a rich record of success in describing a vast variety of nonlinear phenomena such as liquid crystals, superfluidity, Bose-Einstein condensation and superconductivity to mention a few.
Pindza, Edson, Owolabi, Kolade M.
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Advanced Science, EarlyView.Defect‐configurational origins of the asymmetric apparent electrostrain are revealed in different piezoelectric ceramics via atomic‐scale visualization of defect configurations. Migration of oxygen vacancies leads to the electrobending effect in N2‐sintered BaTiO3, while defect dipoles in Ba0.99TiO2.99 generate true asymmetric electrostrain without ...
Jie Wang +7 more
wiley +1 more source
Numerical studies of superfluids and superconductors [PDF]
, 2001 In this thesis we demonstrate the power of the Gross-Pitaevskii and the time-dependent Ginzburg-Landau equations by numerically solving them for various fundamental problems related to superfluidity and superconductivity.
Winiecki, Thomas, Winiecki, T.
core
Advanced Electronic Materials, EarlyView.A CMOS‐compatible ferroelectric transistor harnesses the interplay between stable gate polarization memory and volatile non‐quasi‐static channel charge dynamics to emulate how biological synapses regulate their own plasticity. This brain‐inspired dual‐memory mechanism, realized in a single device, enables a physical reservoir computer that solves ...
Yifan Wang +8 more
wiley +1 more source
Vortex structures and configurations in a superconductor under helical magnetic field
AIP Advances, 2018 Magnetic vortex structures in a superconductor under a helical magnetic field are investigated using the Ginzburg-Landau equations and the three-dimensional finite element method.
Saoto Fukui +3 more
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Additive Noise Effects on the Stabilization of Fractional-Space Diffusion Equation Solutions
Mathematics, 2022 This paper considers a class of stochastic fractional-space diffusion equations with polynomials. We establish a limiting equation that specifies the critical dynamics in a rigorous way.
Wael W. Mohammed +2 more
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Advancing Energy Materials by In Situ Atomic Scale Methods
Advanced Energy Materials, Volume 15, Issue 11, March 18, 2025.Progress in in situ atomic scale methods leads to an improved understanding of new and advanced energy materials, where a local understanding of complex, inhomogeneous systems or interfaces down to the atomic scale and quantum level is required. Topics from photovoltaics, dissipation losses, phase transitions, and chemical energy conversion are ...
Christian Jooss +21 more
wiley +1 more source
Schauder-Tychonoff Fixed-Point Theorem in Theory of Superconductivity
Journal of Function Spaces and Applications, 2013 We study the existence of mild solutions to the time-dependent Ginzburg-Landau ((TDGL), for short) equations on an unbounded interval. The rapidity of the growth of those solutions is characterized.
Mariusz Gil, Stanisław Wędrychowicz
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