PAN, Xingbin


Education Background

Ph. D (Shandong University)

Research Field
Partial differential equations, calculus of variations, mathematical theory of superconductivity, liquid crystals and electromagnetism
Personal Website
Academic Publications


[1] The general magneto-static model and Maxwell-Stokes system with topological parameters, J. Differential Equations, 270 (1) (2021), 1079-1137.

[2]  Oscillatory patterns in the Ginzburg-Landau model driven by the Aharonov-Bohm potential, J. Functional Analysis, Vol. 279, No. 10 (2020), article no. 108718 (with A. Kachmar).

[3]  Concentration behavior and lattice structure of surface superconductivity, Mathematical Physics, Analysis and Geometry, Vol. 22, No. 2 (2019), article no. 12, 33 pp. (with S. Fournais and J.-P. Miqueu) .

[4]  Mixed normal-superconducting states in the presence of strong electric currents, Archive for Rational Mechanics and Analysis, 223, No. 1 (2017), 419-462 (with Y. Almog and B. Helffer).

[5]  Existence and regularity of solutions to quasilinear systems of Maxwell type and Maxwell-Stokes type, Calculus of Variations and PDEs, Vol. 55, No. 6 (2016), article no.143, pp 1-43.

[6]  Partial Sobolev spaces and anisotropic smectic liquid crystals, Calculus of Variations and PDEs, Vol. 51, No. 3 (2014), 963-998.

[7]  Critical elastic coefficient of liquid crystals and hysteresis, Comm. Math. Phys., Vol.280, No.1 (2008), 77-121.

[8]  Surface superconductivity in 3-dimensions, Trans. Amer. Math. Soc., Vol. 356, No. 10 (2004), 3899-3937.

[9]  Landau-de Gennes model of liquid crystals and critical wave number, Comm. Math. Phys.,Vol.239, No.1-2 (2003), 343-382.

[10] Surface superconductivity in applied magnetic fields above H_c2, Comm. Math. Phys., Vol. 228, No. 2 (2002), 327-370.