Extinction phenomenon for Spinor Ginzburg-Landau equations in three dimensions
Recent papers in physics literature have introduced coupled Ginzburg-Landau models for complex vector-valued order parameters in order to account for ferromagnetic or antiferromagnetic effects in high-temperature superconductors.
Liu, ZH, Kim, KI
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Effective energy of nearly-parallel Ginzburg-Landau vortex filaments
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
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This paper employs the Caputo–Hadamard derivative to create the coupled nonlinear fractional Ginzburg–Landau equations. An orthonormal version of the discrete Legendre polynomials is utilized to generate a numerical strategy for this system.
M.H. Heydari, D. Baleanu, M. Bayram
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An Equivalence Relation For The Ginzburg-Landau Equations Of Superconductivity
Gauge invariance is used to establish an equivalence relation between solutions of the time-independent and time-dependent Ginzburg-Landau equations that describe the same physical state of a superconductor. The equivalence relation shows how equilibrium
Hans G. Kaper, Peter Takác
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Ginzburg-Landau Model for Stability Analysis of Fluid Flows
A general scheme for the solution of stability problems for two-dimensional flows (the Navier-Stokes equations and shallow water equations) by means of a weakly nonlinear theory is analyzed in the paper. Equations of the first, second and the third order
Eglīte, Irina, Koliškins, Andrejs
core
Paradoxical coexistence of superconductivity and magnetism, and explaining unexpected preferred domain orientations. [PDF]
Sen S, Liu L, Sharma P.
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Numerical Simulations of the Superfluid 3 He Order Parameter Using dyGiLa: A Homogeneous Rapid Quench to B Phase. [PDF]
Lopez-Eiguren A +3 more
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Determining Nodes For The Ginzburg-Landau Equations Of Superconductivity
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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Analytical wave families and stability dynamics in a modified complex Ginzburg-Landau model via the modified extended direct algebraic method. [PDF]
Rateb AE +4 more
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A hybrid analytical-machine learning framework for data-driven modeling of soliton solutions in the complex Ginzburg-Landau equation. [PDF]
Muhammad J, Tedjani AH, Yao F, Younas U.
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