8 citations · 18 across the 8 of their papers we have counts for
8 papers
Regularity of a Parabolic System Involving Curl
Xing-Bin Pan
This note presents a regularity result with proof for an initial-boundary value problem of a linear parabolic system involving curl of the unknown vector field, subjected to the bo…
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…
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…
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…
Meissner States of Type II Superconductors
Xing-Bin Pan
This paper concerns mathematical theory of Meissner states of a bulk superconductor of type , which occupies a bounded domain in and is subjected to an applied…
Concentration Behavior and Lattice Structure of Surface Superconductivity
Søren Fournais, Jean-Philippe Miqueu, Xing-Bin Pan
We study the three-dimensional Ginzburg-Landau model of superconductivity for strong applied magnetic fields varying between the second and third critical fields. In this regime, i…
Existence of Surface Smectic States of Liquid Crystals
Só ren Fournais, Ayman Kachmar, Xing-Bin Pan
The Landau-de Gennes model of liquid crystals is a functional acting on wave functions (order parameters) and vector fields (director fields). In a specific asymptotic limit of the…
Mixed normal-superconducting states in the presence of strong electric currents
Yaniv Almog, Bernard Helffer, Xing-Bin Pan
We study the Ginzburg-Landau equations in the presence of large electric currents, that are smaller than the critical current where the normal state losses its stability. For stead…