超导时相关金兹堡-朗道模型的一致存在唯一性

Nonlinear Analysis and Differential Equations Pub Date : 1900-01-01 DOI:10.12988/NADE.2017.7713

Jishan Fan, T. Ozawa

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引用次数: 0

摘要

研究了一类随时间变化的超导金兹堡-朗道模型的初边值问题。首先，我们证明了二维情况下库仑规对扩散参数> 0强解的一致有界性。我们的第二个结果是在Lorentz规范下具有L2初始数据的三维轴对称弱解的唯一性。数学学科分类:35K55

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Uniform existence and uniqueness for a time-dependent Ginzburg-Landau model for superconductivity

We study the initial boundary value problem for a time-dependent Ginzburg-Landau model of superconductivity. First, we prove the uniform boundedness of strong solutions with respect to diffusion parameter > 0 in the case of Coulomb gauge for 2D case. Our second result is the uniqueness of axially symmetric weak solutions in 3D with L2 initial data under Lorentz gauge. Mathematics Subject Classifications: 35K55

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Nonlinear Analysis and Differential Equations

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