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math.AP2019
Oscillatory patterns in the Ginzburg-Landau model driven by the Aharonov-Bohm potential (Derivation of the Aharanov-Bohm potential in the Ginzburg-Landau model)
Ayman Kachmar, XingBin Pan
We consider the Aharonov-Bohm magnetic potential and study the transition from normal to superconducting solutions within the Ginzburg-Landau model of superconductivity. We obtain…
math.AP2019
General Magneto-Static Model
Xing-Bin Pan
In this paper we study a nonlinear magneto-static model on a general domain which is multiply-connected and has holes, and under a nonlinear relation between magnetic induction…
math.AP2019
Existence and Regularity of Weak Solutions for a Thermoelectric Model
Xing-Bin Pan, Zhibing Zhang
This paper concerns a time-independent thermoelectric model with two different boundary conditions. The model is a nonlinear coupled system of the Maxwell equations and an elliptic…