Results 111 to 120 of about 6,114 (231)
The pollution effect for the Ginzburg-Landau equation.
CoRRIn this paper, we investigate the approximation properties of solutions to the Ginzburg-Landau equation (GLE) in finite element spaces. Special attention is given to how the errors are influenced by coupling the mesh size h and the polynomial degree p of the finite element space to the size of the so-called Ginzburg-Landau material parameter κ.
Chaumont-Frelet, Théophile +1 more
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Effective energy of nearly-parallel Ginzburg-Landau vortex filaments
, 2016 Starting from the Ginzburg-Landau model, we derive an effective free energy functional for nearly-parallel vortex filaments. As a consequence, we establish the existence of solutions of the Ginzburg- Landau equations, in certain scaling regimes ...
Jerrard, Robert
core
Fluctuations in domain growth: Ginzburg-Landau equations with multiplicative noise
, 1993 Ginzburg-Landau equations with multiplicative noise are considered, to study the effects of fluctuations in domain growth. The equations are derived from a coarse-grained methodology and expressions for the resulting concentration-dependent diffusion ...
J. M. Sancho +7 more
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Polynomial Complex Ginzburg-Landau equations in Zhidkov spaces
, 2022 We consider Complex Ginzburg-Landau equations with a polynomial nonlinearity in the real line. We use splitting-methods to prove well-posedness for a subset of almost periodic spaces.
Besteiro, Agustín
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Determining Nodes For The Ginzburg-Landau Equations Of Superconductivity
, 2007 It is shown that a solution of the time-independent Ginzburg-Landau equations of superconductivity is determined completely and exactly by its values at a finite but sufficiently dense set of determining nodes in the domain. If the applied magnetic field
Shouhong Wang +2 more
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A comparative study of nonequilibrium dynamics in complex and real Ginzburg-Landau equations
, 2013 Complex and real Ginzburg-Landau equations have been numerically studied by implementing Euler discretization technique. In addition to characterizing the differences and similarities of patterns involving these two continuum dynamical equations, in a ...
Saugata Patra, Subir K. Das
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Entanglement of Vortices in the Ginzburg–Landau Equations for Superconductors
Communications in Mathematical PhysicsAbstractIn 1988, Nelson proposed that neighboring vortex lines in high-temperature superconductors may become entangled with each other. In this article we construct solutions to the Ginzburg–Landau equations which indeed have this property, as they exhibit entangled vortex lines of arbitrary topological complexity.
Alberto Enciso, Daniel Peralta-Salas
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Uniform regularity for a mathematical model in superfluidity
Electronic Journal of Differential Equations, 2018 We prove uniform-in-$\mu$ estimates for a mathematical model in superfluidity. Consequently, the limit as $\mu\to0$ can be established.
Jishan Fan, Bessem Samet, Yong Zhou
doaj
Released power in a vortex-antivortex pairs annihilation process
Revista UIS Ingenierías, 2020 In this paper, we studied the power dissipation process of a Shubnikov vortex-antivortex pair in a mesoscopic superconducting square sample with a concentric square defect in presence of an oscillatory external magnetic field. The time-dependent Ginzburg-
Cristian Aguirre-Tellez +2 more
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International Journal of Mathematics and Mathematical Sciences, 1995 For nonlinear parabolic evolution equations, it is proved that, under the assumptions of local Lipschitz continuity of nonlinearity and the dissipativity of semiflows, there exist approximate inertial manifolds (AIM) in the energy space and that the ...
Yuncheng You
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