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math-ph2014
Existence and stability of superconducting solutions for the Ginzburg-Landau equations in the presence of weak electric currents
Yaniv Almog, Leonid Berlyand, Dmitry Golovaty +1
For a reduced Ginzburg-Landau model in which the magnetic field is neglected, we prove, for weak electric currents, the existence of a steady-state solution in a vicinity of the pu…
math.AP2014★ 3 cited
Asymptotics of eigenstates of elliptic problems with mixed boundary data on domains tending to infinity
Michel Chipot, Prosenjit Roy, Itai Shafrir
We analyze the asymptotic behavior of eigenvalues and eigenfunctions of an elliptic operator with mixed boundary conditions on cylindrical domains when the length of the cylinder g…