Existence and stability of singular patterns in a Ginzburg–Landau equation coupled with a mean field
, 2002 We study singular patterns in a particular system of parabolic partial differential equations which consist of a Ginzburg–Landau equation and a mean field equation.
Norbury, J +9 more
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The interaction of free Rossby waves with semi-transparent equatorial waveguide – wave-mean flow interaction [PDF]
Nonlinear Processes in Geophysics, 2009 Nonlinear interactions of the barotropic Rossby waves propagating across the equator with trapped baroclinic Rossby or Yanai modes and mean zonal flow are studied within the two-layer model of the atmosphere, or the ocean. It is shown that the equatorial
G. M. Reznik, V. Zeitlin
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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
openaire +4 more sources
Null Controllability of the Complex Ginzburg-Landau Equation
, 2008 International audienceThe paper investigates the boundary controllability, as well as the internal controllability, of the complex Ginzburg-Landau equation.
Rosier, Lionel +3 more
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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
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Convergence of the pseudospectral method for the Ginzburg-Landau equation
, 1990 The convergence of the pseudospectral (Fourier) method for the Ginzburg-Landau equation in nonlinear wave theory is proved.
Yang, Yisong
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A logarithmic extension of the Hölder inequality
Journal of Inequalities and Applications, 1999 We prove a logarithmic extension of the Höllder inequality, motivated by an application to the complex Ginzburg–Landau equation.
Velo G, Ginibre J
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The Complex Ginzburg-Landau Equation with Weak Initial Data
, 2007 In this paper we investigate the existence and regularity of the solutions to the complex Ginzburg-Landau equation, @ t u = Au+ (a + i )\Deltau \Gamma (b + i¯)juj 2oe u, on the phase space L r;p (R n ) of weighted L p functions in infinite domain ...
Jiahong Wu
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Bi-Lipschitz Mané projectors and finite-dimensional reduction for complex Ginzburg-Landau equation. [PDF]
Proc Math Phys Eng Sci, 2020 Kostianko A.
europepmc +1 more source
Numerical Methods for Simulating Ginzburg-Landau Vortices
, 2013 [[abstract]]Numerical solution to the Ginzburg-Landau (GL) equation becomes infeasible as the GL parameter κ and the number of GL vortices increase to a physically interesting regime. It is in this regime that we focus our attention to design a simulated
Mu, Mo; Deng, Yuefan; Chou, Chung-Chiang
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