含时GINZBURG-LANDAU超导模型的一致适定性

Pub Date : 2019-04-01 DOI:10.18910/72318

Jishan Fan, B. Samet, Yong Zhou

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引用次数: 4

摘要

我们研究了含时Ginzburg-Landau超导模型的初边值问题。首先，我们证明了在库仑规范的情况下，强解关于扩散系数0<<1的一致有界性。我们的第二个结果是当=0时极限问题弱解的全局存在性和唯一性。

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UNIFORM WELL-POSEDNESS FOR A TIME-DEPENDENT GINZBURG-LANDAU MODEL IN SUPERCONDUCTIVITY

We study the initial boundary value problem for a time-dependent Ginzburg-Landau model in superconductivity. First, we prove the uniform boundedness of strong solutions with respect to diffusion coefficient 0 < < 1 in the case of Coulomb gauge. Our second result is the global existence and uniqueness of the weak solutions to the limit problem when = 0.

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