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Results 1 - 10
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462
On the Ginzburg–Landau system of complex
, 2001
"... modulation equations for a rotating annulus with radial magnetic field ..."
Scaling limits and regularity results for a class of Ginzburg-Landau systems
, 1996
"... this paper a collection of results concerning the asymptotic regularity and qualitative behavior of solutions of the Ginzburg-Landau system, ..."
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Cited by 6 (1 self)
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this paper a collection of results concerning the asymptotic regularity and qualitative behavior of solutions of the Ginzburg-Landau system,
GAUGE UNIQUENESS OF SOLUTIONS TO THE GINZBURG-LANDAU SYSTEM FOR SMALL SUPERCONDUCTING DOMAINS
"... Abstract. We study the Ginzburg-Landau system with an applied magnetic field for two-dimensional domains. For small bounded, smooth and simply connected domains, we show that superconducting solutions are unique up to a gauge, and that for this geometry materials exhibit no hysteresis effects and no ..."
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Abstract. We study the Ginzburg-Landau system with an applied magnetic field for two-dimensional domains. For small bounded, smooth and simply connected domains, we show that superconducting solutions are unique up to a gauge, and that for this geometry materials exhibit no hysteresis effects
Optimal Uniform Elliptic Estimates for the Ginzburg-Landau System
, 2006
"... Abstract. We reconsider the elliptic estimates for magnetic operators in two and three dimensions used in connection with Ginzburg-Landau theory. Furthermore we discuss the so-called blow-up technique in order to obtain optimal estimates in the limiting cases. 1. ..."
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Cited by 9 (5 self)
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Abstract. We reconsider the elliptic estimates for magnetic operators in two and three dimensions used in connection with Ginzburg-Landau theory. Furthermore we discuss the so-called blow-up technique in order to obtain optimal estimates in the limiting cases. 1.
Symmetric vortices for two-component Ginzburg–Landau systems
, 2014
"... We study Ginzburg–Landau equations for a complex vector order parameter Ψ = (ψ+, ψ−) ∈ C2. We consider symmetric vortex solutions in the plane R2, ψ(x) = f±(r)ein±θ, with given degrees n ± ∈ Z, and prove existence, uniqueness, and asymp-totic behavior of solutions as r → ∞. We also consider the mo ..."
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Cited by 2 (2 self)
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We study Ginzburg–Landau equations for a complex vector order parameter Ψ = (ψ+, ψ−) ∈ C2. We consider symmetric vortex solutions in the plane R2, ψ(x) = f±(r)ein±θ, with given degrees n ± ∈ Z, and prove existence, uniqueness, and asymp-totic behavior of solutions as r → ∞. We also consider
THE VORTEX DYNAMICS OF A GINZBURG-LANDAU SYSTEM UNDER PINNING EFFECT ∗
, 2003
"... We study the vortex dynamical behaviour of a Ginzburg-Landau (G-L) system of related to inhomogeneous superconductors as well as to three-dimensional superconducting thin films having variable thickness. It is proved that the vortices are attracted by impurities or inhomogeities in the superconducti ..."
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Cited by 2 (0 self)
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We study the vortex dynamical behaviour of a Ginzburg-Landau (G-L) system of related to inhomogeneous superconductors as well as to three-dimensional superconducting thin films having variable thickness. It is proved that the vortices are attracted by impurities or inhomogeities
GRADIENT MAP OF ISOPARAMETRIC POLYNOMIAL AND ITS APPLICATION TO GINZBURG-LANDAU SYSTEM
, 906
"... Abstract. In this note, we study properties of the gradient map of the isoparametric polynomial. For a given isoparametric hypersurface in sphere, we calculate explicitly the gradient map of its isoparametric polynomial which turns out many interesting phenomenons and applications. We find that it s ..."
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Cited by 5 (3 self)
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. As an immediate consequence, we get the Brouwer degree of the gradient map which was firstly obtained by Peng and Tang with moving frame method. Following Farina’s construction, another immediate consequence is a counter example of the Brézis question about the symmetry for the Ginzburg-Landau system in dimension
Stabilization by slow diffusion in a real Ginzburg-Landau system
, 2003
"... The Ginzburg-Landau equation is essential for understanding the dynamics of patterns in a wide variety of physical contexts. It governs the evolution of small amplitude instabilities near criticality. It is well-known that the (cubic) Ginzburg-Landau equation has various unstable solitary pulse s ..."
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Cited by 3 (0 self)
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The Ginzburg-Landau equation is essential for understanding the dynamics of patterns in a wide variety of physical contexts. It governs the evolution of small amplitude instabilities near criticality. It is well-known that the (cubic) Ginzburg-Landau equation has various unstable solitary pulse
Multi-channel pulse dynamics in a stabilized Ginzburg-Landau system
, 2001
"... We study the stability and interactions of chirped solitary pulses in a system of nonlinearly coupled cubic Ginzburg-Landau (CGL) equations with a group-velocity mismatch between them, where each CGL equation is stabilized by linearly coupling it to an additional linear dissipative equation. In the ..."
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We study the stability and interactions of chirped solitary pulses in a system of nonlinearly coupled cubic Ginzburg-Landau (CGL) equations with a group-velocity mismatch between them, where each CGL equation is stabilized by linearly coupling it to an additional linear dissipative equation
Results 1 - 10
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462
