Uniqueness of weak solutions of time-dependent 3-D Ginzburg-Landau model for superconductivity

doi:10.1007/s11464-007-0013-6

Front. Math. China

2007, Vol. 2

Issue (2) : 183-189 https://doi.org/10.1007/s11464-007-0013-6

Uniqueness of weak solutions of time-dependent 3-D Ginzburg-Landau model for superconductivity

FAN Jishan¹, GAO Hongjun²

1.College of Information Sciences and Technology, Nanjing Forestry University, Nanjing 210037, China; 2.Institute of Mathematics, School of Mathematics and Computer Sciences, Nanjing Normal University, Nanjing 210097, China;

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Abstract We prove the uniqueness of weak solutions of the time-dependent 3-D Ginzburg-Landau model for superconductivity with (ψ₀,A₀) " L²(Ω) initial data under the hypothesis that (ψ,A) " C([0, T]; L³(Ω)) using the Lorentz gauge.

Issue Date: 05 June 2007

Cite this article:

FAN Jishan,GAO Hongjun. Uniqueness of weak solutions of time-dependent 3-D Ginzburg-Landau model for superconductivity[J]. Front. Math. China, 2007, 2(2): 183-189.

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https://academic.hep.com.cn/fmc/EN/10.1007/s11464-007-0013-6
https://academic.hep.com.cn/fmc/EN/Y2007/V2/I2/183

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