Abstract: With the help of a framework
recently developed, we establish a
localization of solutions for the Ginzburg-Landau
system on [0,
+ ¥ [ and for pairs
(f(0),
h) satisfying the De Gennes condition with and k
small. A numerical study of the
stability of localized solutions of the
Ginzburg-Landau
system is proposed in the weak-k
limit for the case of a bounded
interval as well as for the case of [0,
+ ¥ [. An extension of this numerical study is also
achieved for the system on [0,
+ ¥ [ when the exterior magnetic field is near the
superheating field.
