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arXiv · 1411.4235

Global well-posedness of the time-dependent Ginzburg-Landau superconductivity model in curved polyhedra

Buyang Li·Chaoxia Yang
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Abstract

We study the time-dependent Ginzburg--Landau equations in a three-dimensional curved polyhedron (possibly nonconvex). Compared with the previous works, we prove existence and uniqueness of a global weak solution based on weaker regularity of the solution in the presence of edges or corners, where the magnetic potential may not be in $L^2(0,T;H^1(\Omega)^3)$.

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Buyang Li, Chaoxia Yang. 2014-11-16. Global well-posedness of the time-dependent Ginzburg-Landau superconductivity model in curved polyhedra. https://arxiv.org/abs/1411.4235

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