Results 71 to 80 of about 31,594 (262)
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
doaj +1 more source
Anisotropy of the upper critical field in MgB2: the two-gap Ginzburg-Landau theory
, 2005 The upper critical field in MgB2 is investigated in the framework of the two-gap Ginzburg-Landau theory. A variational solution of linearized Ginzburg-Landau equations agrees well with the Landau level expansion and demonstrates that spatial ...
Angst +27 more
core +2 more sources
BOUNDARY PROBLEMS FOR THE GINZBURG–LANDAU EQUATION [PDF]
Communications in Contemporary Mathematics, 2005 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.
openaire +3 more sources
Multisoliton Solutions of the Complex Ginzburg-Landau Equation [PDF]
Physical Review Letters, 1997 We present novel stable solutions which are soliton pairs and trains of the ID complex Ginzburg-Landau equation (CGLE), and analyze them. We propose that the distance between the pulses and the phase difference between them is defined by energy and momentum balance equations.
Akhmediev, N. +2 more
openaire +2 more sources
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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Dynamics of Defects in the Vector Complex Ginzburg-Landau Equation
, 2001 Coupled Ginzburg-Landau equations appear in a variety of contexts involving instabilities in oscillatory media. When the relevant unstable mode is of vectorial character (a common situation in nonlinear optics), the pair of coupled equations has special ...
Amengual +37 more
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Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar +3 more
wiley +1 more source
Қарағанды университетінің хабаршысы. Математика сериясыThe Ginzburg-Landau equation with rapidly oscillating terms in the equation and boundary conditions in a perforated domain was considered. Proof was given that the trajectory attractors of this equation converge weakly to the trajectory attractors of ...
K.A. Бекмаганбетов +3 more
doaj +1 more source
Coexisting Pulses in a Model for Binary-Mixture Convection
, 1995 We address the striking coexistence of localized waves (`pulses') of different lengths which was observed in recent experiments and full numerical simulations of binary-mixture convection.
B. Malomed +22 more
core +2 more sources