Results 1 to 10 of about 1,498 (185)
VORTEX LIQUIDS AND THE GINZBURG–LANDAU EQUATION [PDF]
Forum of Mathematics, Sigma, 2014 AbstractWe 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. As our main tool, we establish quantitative bounds on several fundamental quantities, including the kinetic energy, that lead to ...
MATTHIAS KURZKE, DANIEL SPIRN
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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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Ginzburg–Landau equations and their generalizations
Indagationes Mathematicae, 2023 The Ginzburg-Landau equations were proposed in the superconductivity theory to describe mathematically the intermediate state of superconductors in which the normal conductivity is mixed with the superconductivity. It was understood later on that these equations play an important role also in various problems of mathematical physics.
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Renormalization Group and the Ginzburg-Landau equation [PDF]
Communications in Mathematical Physics, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bricmont, J., Kupiainen, A.
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Controllability of the Ginzburg–Landau equation
Comptes Rendus. Mathématique, 2007 This Note investigates the boundary controllability, as well as the internal controllability, of the complex Ginzburg–Landau equation. Null-controllability results are derived from a Carleman estimate and an analysis based upon the theory of sectorial operators.
Rosier, Lionel, Zhang, Bing-Yu
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Computers & Mathematics with Applications, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adomian, G., Meyers, R.E.
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The world of the complex Ginzburg-Landau equation [PDF]
Reviews of Modern Physics, 2002 Submitted to Reviews of Modern Physics, reduced resolution ...
Aranson, Igor S., Kramer, Lorenz
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Pulses and snakes in Ginzburg–Landau equation [PDF]
Nonlinear Dynamics, 2014 30 pages, 14 ...
Mancas, Stefan C., Choudhury, Roy S.
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A Model for Vortex Nucleation in the Ginzburg–Landau Equations [PDF]
Journal of Nonlinear Science, 2017 19 pages, 0 ...
Gautam Iyer, Daniel Spirn
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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.
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