On the Hydrodynamic Limit of a Scalar Ginzburg-Landau Lattice Model: The Resolvent Approach

1987 ◽  
pp. 75-97 ◽  
Author(s):  
J. Fritz
Keyword(s):  
Lattice Model ◽  
Hydrodynamic Limit ◽  
Ginzburg Landau ◽  
Resolvent Approach

scholarly journals On the hydrodynamic limit of Ginzburg-Landau vortices

2000 ◽  
Vol 6 (1) ◽  
pp. 121-142 ◽  
Author(s):  
Fanghua Lin ◽  
◽  
Ping Zhang ◽  
Keyword(s):  
Hydrodynamic Limit ◽  
Ginzburg Landau

Connection between generalized lattice model of multicomponent systems and Ginzburg-Landau theory

2004 ◽  
Vol 100 (4) ◽  
pp. 435-441 ◽  
Author(s):  
A. Yu. Zakharov ◽  
M. A. Zakharov ◽  
O. V. Loginova
Keyword(s):  
Lattice Model ◽  
Landau Theory ◽  
Multicomponent Systems ◽  
Ginzburg Landau

scholarly journals VORTEX LIQUIDS AND THE GINZBURG–LANDAU EQUATION

2014 ◽  
Vol 2 ◽  
Author(s):  
MATTHIAS KURZKE ◽  
DANIEL SPIRN
Keyword(s):  
Vortex Dynamics ◽  
Hydrodynamic Limit ◽  
Convergence Rates ◽  
Landau Equation ◽  
Main Tool ◽  
Neumann Boundary ◽  
Time Dependent ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation ◽  
Large Numbers

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 explicit convergence rates. For dilute vortex liquids, we prove that sequences of solutions converge to the hydrodynamic limit.

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