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تسجيل مستخدم جديدGlobal well-posedness of the time-dependent Ginzburg-Landau superconductivity model in curved polyhedra
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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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