Symmetric and nonsymmetric vortices for the Ginzburg-Landau equations

Thesis/Dissertation · Mon Dec 31 23:00:00 EST 1984

OSTI ID:5224686

Chen, Y

Steady-state Ginzburg-Landau equations with arbitrary parameter lambda > 0 in two-dimensional Euclidean space were studied. The existence of finite-energy symmetric and nonsymmetric solutions with arbitrary vortex number is demonstrated by direct method of the calculus of variations via a Sobolev space argument. Moreover, the important properties of symmetric solutions are determined, and it is proved that as lambda ..-->.. infinity, nonlinear desingularization occurs for the symmetric solutions.

• Research Organization: Massachusetts Univ., Amherst (USA)
• OSTI ID: 5224686
• Country of Publication: United States
• Language: English

Related Subjects

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ASYMMETRY
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
EUCLIDEAN SPACE
GINZBURG-LANDAU THEORY
MATHEMATICAL SPACE
PHYSICAL PROPERTIES
RIEMANN SPACE
SPACE
SUPERCONDUCTIVITY
SYMMETRY
VORTICES