Ginzburg-landau vortices: weak stability and schrödinger equation dynamics

[1]  N. Bogolyubov.  On the theory of superfluidity , 1947 .

[2]  F. Lin.  Solutions of Ginzburg-Landau equations and critical points of the renormalized energy , 1995 .

[3]  Halil Mete Soner,et al.  Dynamics of Ginzburg‐Landau Vortices , 1998 .

[4]  B. Dacorogna.  Direct methods in the calculus of variations , 1989 .

[5]  Jean-Michel Coron,et al.  Harmonic maps with defects , 1986 .

[6]  H. Brezis,et al.  Degree theory and BMO; part II: Compact manifolds with boundaries , 1995 .

[7]  Mario Pulvirenti,et al.  Mathematical Theory of Incompressible Nonviscous Fluids , 1993 .

[8]  Etienne Sandier,et al.  Lower Bounds for the Energy of Unit Vector Fields and Applications , 1998 .

[9]  F. Béthuel,et al.  Density of Smooth Functions between Two Manifolds in Sobolev Spaces , 1988 .

[10]  Robert L. Jerrard,et al.  Vortex dynamics for the Ginzburg-Landau-Schrodinger equation , 1997 .

[11]  S. Muêller.  Det = det. A remark on the distributional determinant , 1990 .

[12]  Fanghua Lin,et al.  Some Dynamical Properties of Ginzburg-Landau Vortices , 1996 .

[13]  D. R. Tilley,et al.  Superfluidity and Superconductivity , 2019 .

[14]  J. Bourgain,et al.  Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations , 1993 .

[15]  H. Brezis,et al.  Ginzburg-Landau Vortices , 1994 .

[16]  R. Jerrard.  Lower bounds for generalized Ginzburg-Landau functionals , 1999 .

[17]  R. Jerrard.  Vortex dynamics for the Ginzburg-Landau wave equation , 1999 .

[18]  Fanghua Lin,et al.  Vortex dynamics for the nonlinear wave equation , 1999 .

[19]  F. Lin.  A remark on the previous paper “Some dynamical properties of Ginzburg-Landau vortices” , 1996 .

[20]  Michael Struwe,et al.  On the asymptotic behavior of minimizers of the Ginzburg-Landau model in $2$ dimensions , 1994, Differential and Integral Equations.