Tang, Qi On an evolutionary system of Ginzburg-Landau equations with fixed total magnetic flux. (English) Zbl 0833.35132 Commun. Partial Differ. Equations 20, No. 1-2, 1-36 (1995). The author considers the existence, uniqueness and long time behaviour of the solutions of an evolutionary Ginzburg-Landau superconductivity model in two space dimensions. Reviewer: G.Boillat (Aubière) Cited in 35 Documents MSC: 35Q55 NLS equations (nonlinear Schrödinger equations) 35B40 Asymptotic behavior of solutions to PDEs 35A05 General existence and uniqueness theorems (PDE) (MSC2000) 82D55 Statistical mechanics of superconductors Keywords:evolutionary Ginzburg-Landau superconductivity model PDFBibTeX XMLCite \textit{Q. Tang}, Commun. Partial Differ. Equations 20, No. 1--2, 1--36 (1995; Zbl 0833.35132) Full Text: DOI References: [1] Adames R., Sobolcv Spaces; Academic [2] Bardeen J., Theory of Superconductivity 108 pp 1175– (1957) · Zbl 0090.45401 [3] Chen Y.Y., Vortices for the Ginzburg-Landau equations- the nonsymmctric case in unbounded domain 108 pp 19– (1990) [4] Chen Z.M., On a non-stationary Ginzburg-Landau Superconductivity Model 108 (1990) [5] Du Qiang, Global Existence and Uniqueness of Solutions of the Time-dependent Ginzburg-Landau Model for Superconductivity [6] Du Q., Analysis and Approximation of the Ginzburq-Landau Model of Superconductivity 34 pp 24– (1992) [7] Elliott C., Zeros of a Complex Ginzbtug-Landau Order Parameter with Applications to Superconductivity 34 (1992) [8] Elliot C., Existence Theorems for a Evoluionary Superconductivity Model [9] Gor’kov L.P., Generalization of the Ginzburg-Landau Equations for Non-Stationary Problems in the Case of Alloys with Paramagnetic Impurities 27 pp 328– (1968) [10] Ginzburg V., On the Theory of Superconductivtiy: 20 pp 138– (1950) [11] Cirault V., Finite Element Methods for Navier-Stokes Equations (1986) [12] Geometric Theory of Semilinear Parabolic Equations (1981) [13] Jaffe A., Vortices and Monopoles (1980) · Zbl 0457.53034 [14] Ladyzhenskaya O.A., The Mathematical Theory of Viscous Incompressible Flow (1969) · Zbl 0184.52603 [15] Ladyzhenskaja O.A., Linear and quasi-linear equations of parabolic type (1967) [16] Liang J., Asymptotic behavior of an evolutionary Ginzburg-Landau superconductivity model · Zbl 0845.35118 · doi:10.1006/jmaa.1995.1344 [17] Monvel-Berthier A.B., A boundary value problem related to the Ginzburg-Landau Model 142 pp 1– (1991) · Zbl 0742.35045 [18] Tang Q., Remark on a relation between the magnetic field and the topo-logical degree of the order parameter in superconductivity 69 pp 320– (1993) [19] Temam R., Navier-Stokes Equations (1979) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.