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Bifurcations of Nonconstant Solutions of the Ginzburg-Landau Equation [PDF]
Abstract and Applied Analysis, 2012 We study local and global bifurcations of nonconstant solutions of the Ginzburg-Landau equation from the families of constant ones. As the topological tools we use the equivariant Conley index and the degree for equivariant gradient maps.
Norimichi Hirano, Sławomir Rybicki
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VORTEX LIQUIDS AND THE GINZBURG–LANDAU EQUATION [PDF]
Forum of Mathematics, Sigma, 2014 We establish vortex dynamics for the time-dependent Ginzburg–Landau equation for asymptotically large numbers of vortices for the problem without a gauge field and either Dirichlet or Neumann boundary conditions.
MATTHIAS KURZKE, DANIEL SPIRN
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Advances in Difference Equations, 2021 In this paper, a random coupled Ginzburg–Landau equation driven by colored noise on unbounded domains is considered, in which the nonlinear term satisfies a local Lipschitz condition.
Zhang Chen, Lingyu Li, Dandan Yang
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The exact solutions of the stochastic Ginzburg–Landau equation
Results in Physics, 2021 The main goal of this paper is to obtain the exact solutions of the stochastic real-valued Ginzburg–Landau equation, which is forced by multiplicative noise in the Itô sense.
Wael W. Mohammed +5 more
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Homogenization of Attractors to Ginzburg-Landau Equations in Media with Locally Periodic Obstacles: Critical Case [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In this paper the Ginzburg-Landau equation is considered in locally periodic porous medium, with rapidly oscillating terms in the equation and boundary conditions.
K.A. Bekmaganbetov +3 more
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Condensed Matter, 2021 We calculate the parameters of the Ginzburg–Landau (GL) equation of a three-dimensional attractive Fermi gas around the superfluid critical temperature.
Filippo Pascucci +2 more
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Journal of Mathematics, 2023 The Ginzburg–Landau (GL) equation and the Ginzburg–Landau couple system are important models in the study of superconductivity and superfluidity. This study describes the q-homotopy analysis transform method (q-HATM) as a powerful technique for solving ...
Khalid K. Ali +2 more
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Alexandria Engineering Journal, 2021 We propose new numerical methods with adding a modified ordinary differential equation solver to the Milstein methods for solution of stiff stochastic systems.
Kazem Nouri +3 more
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THE GINZBURG–LANDAU EQUATION IN THE HEISENBERG GROUP [PDF]
Communications in Contemporary Mathematics, 2008 We consider a functional related with phase transition models in the Heisenberg group framework. We prove that level sets of local minimizers satisfy some density estimates, that is, they behave as "codimension one" sets. We thus deduce a uniform convergence property of these level sets to interfaces with minimal area.These results are then applied in ...
BIRINDELLI, Isabella, VALDINOCI E.
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Solitons and Jacobi Elliptic Function Solutions to the Complex Ginzburg–Landau Equation
Frontiers in Physics, 2020 The complex Ginzburg–Landau (CGL) equation which describes the soliton propagation in the presence of the detuning factor is firstly considered; then its solitons as well as Jacobi elliptic function solutions are obtained systematically using a modified ...
Kamyar Hosseini +6 more
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