Results 11 to 20 of about 6,114 (231)
Global solutions for 2D coupled Burgers-complex-Ginzburg-Landau equations
Electronic Journal of Differential Equations, 2015 In this article, we study the periodic initial-value problem of the 2D coupled Burgers-complex-Ginzburg-Landau (Burgers-CGL) equations. Applying the Brezis-Gallout inequality which is available in 2D case and establishing some prior estimates, we ...
Hongjun Gao, Lin Lin, Yajun Chu
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London model of dual color superconductor [PDF]
EPJ Web of Conferences, 2022 The Meissner effect for the chromoelectric field E⃗a is a property of the non-perturbative QCD vacuum medium assumed to explain the observed confinement of color. The color dielectric function ϵ of such a medium should vanish.
Hošek Jiří
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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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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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Logarithmic deformations of the rational superpotential/Landau-Ginzburg construction of solutions of the WDVV equations [PDF]
, 2008 The superpotential in the Landau-Ginzburg construction of solutions to the Witten-Dijkgraaf-Verlinde-Verlinde (or WDVV) equations is modified to include logarithmic terms.
James T. Ferguson +3 more
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Periodic dynamics in superconductors induced by an impulsive optical quench
Communications Physics, 2022 Light-induced superconductivity is a recent phenomenon where many aspects of the underlying physics are still to be fully understood. Here, the authors analyse coupled Ginzburg-Landau and Maxwell equations to investigate the dynamics of the quantum ...
Pavel E. Dolgirev +6 more
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Advances in Difference Equations, 2019 Ultrashort pulse propagation in optical transmission lines and phenomena in particle physics can be investigated via the cubic–quintic Ginzburg–Landau equation and the Phi-4 equation, respectively.
Sekson Sirisubtawee +3 more
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Schrodinger-Chern-Simons vortex dynamics [PDF]
, 2006 We study the motion of vortices in the planar Ginzburg-Landau model with Schrodinger-Chern-Simons dynamics. We compare the moduli space approximation with the results of numerical simulations of the full field theory and find that there is agreement if ...
Paul Sutcliffe +5 more
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Robust a priori and a posteriori error analysis for the approximation of Allen–Cahn and Ginzburg–Landau equations past topological changes [PDF]
, 2010 A priori and a posteriori error estimates are derived for the numerical approximation of scalar and complex valued phase field models. Particular attention is devoted to the dependence of the estimates on a small parameter and to the validity of the ...
Rüdiger Müller +11 more
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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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