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

doi:10.1007/s11464-007-0013-6

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Front. Math. China ›› 2007, Vol. 2 ›› Issue (2) : 183-189. DOI: 10.1007/s11464-007-0013-6

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

FAN Jishan¹, GAO Hongjun²

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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.

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FAN Jishan, GAO Hongjun. Uniqueness of weak solutions of time-dependent 3-D Ginzburg-Landau model for superconductivity. Front. Math. China, 2007, 2(2): 183‒189 https://doi.org/10.1007/s11464-007-0013-6