PAN, Xingbin
Professor

Education Background
Ph. D (Shandong University)

Research Field
Partial differential equations, calculus of variations, mathematical theory of superconductivity, liquid crystals and electromagnetism
Personal Website
https://myweb.cuhk.edu.cn/panxingbin/Home/Index
Email
panxingbin@cuhk.edu.cn
Academic Publications
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[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.
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