Publications

1.

Xing-Bin Pan, Mathematical problems of boundary layer behavior of superconductivity and liquid crystals, Scientia Sinica Mathematics, 48 (1) (2018), Special issue dedicated to the 90th birthday of Prof. Guangchang Dong, to appear.

2.

H. J. Gong, T. Huang, J. K. Li, Nouniqueness of nematic liquid crystal flows in dimension three. Journal of Differential Equations, 2017, in press.

3.

A. Kachmar, S. Fournais and Xing-Bin Pan, Existence of surface smectic states of liquid crystals, J. Functional Analysis, to appear. 

4.

T. Huang, C. Y. Wang, Boundary Bubbling Analysis of Approximate Harmonic Maps Under Either Weak or Strong Anchoring Conditions in Dimension 2. International Mathematics Research Notices, rnx069, doi:10.1093/imrn/rnx069 (2017)

5.

Bahadoran, C., Mountford, T., Ravishankar, K., & Saada, E., Supercritical behavior of asymmetric zero-range process with sitewise disorder. Ann. Inst. H. Poincaré Probab. Statist., 53 (2), (2017), 766-801. Institut Henri Poincaré.

6.

Newman, C. M.Ravishankar, K. and Schertzer, E., Perturbations of Voter model in one-dimension, ‎Electron. J. Probab. Volume 22 (2017), paper no. 34, 42 pp.

7.

Aymone, M., & Sidoravicius, V.,  Partial sums of biased random multiplicative functions‎J. Number Theor172, (2017), 343-382.

8.

Ye, J., Gheissari, R., Machta, J., Newman, C. M., & Stein, D. L.Long-time predictability in disordered spin systems following a deep quenchPhys Rev E.95(4), (2017), 042101.

9.

Newman, C. M., Ravishankar, K., & Schertzer, E., Perturbations of Voter model in one-dimensionElectron. J. Probab., 22, (2017), paper no. 34, 42 pp.

10.

Grassberger, P., Hilário, M. R., & Sidoravicius, V. (2017). Percolation in Media with Columnar Disorder. J Stat Phys (2017) 168: 731. 

11.

Xu, F., Second-order limit laws for occupation times of fractional Brownian motionJ. Appl. Probab., 54(2), (2017), 444-461.

12.

Xing-Bin Pan, Directional curl spaces and applications to the Meissner states of anisotropic superconductorsJ. Math. Phys.58(1), (2017), 011508.

13.

Y. Almog, B. Helffer, Xingbin Pan, Mixed normal-superconducting states in the presence of strong  electric currents, Arch. Rational Mech. Anal., 223 (1), (2017), 419-462

14.

Deng, Fan, Zhen Lei, and Fanghua Lin. On the 2D Muskat Problem with Monotone Large Initial Data.  Comm. Pure Appl. Math., 70(2017)1115–1145. 

15.

Xingbin Pan, Existence and regularity of solutions to quasilinear systems of Maxwell type and Maxwell-Stokes type, Calc. Var. Partial. Differ. Equ., 55 (6) (2016), article 143, pp. 1-43

16.

Huang, T.Regularity and uniqueness for a class of solutions to the hydrodynamic flow of nematic liquid crystalsAnal. Appl., 14 (04), (2016), 523-526. 

17.

Huang, T., Liu, L., Lou, Y., & Wang, C. (2016), Heat Flow of Extrinsic Biharmonic Maps from a four Dimensional Manifold with BoundaryJournal of Elliptic and Parabolic Equations, April 2016, Volume 2, Issue 1–2, pp 1–26

18.

Huang, T., Lin, F., Liu, C., & Wang, C., Finite time singularity of the nematic liquid crystal flow in dimension threeArch Rational Mech Anal (2016) September 2016, Volume 221, Issue 3, pp 1223–1254

19.

Bensoussan, A., Mertz, L., & Yam, S. C. P., NonLocal Boundary Value Problems of a Stochastic Variational Inequality Modeling an Elasto-Plastic Oscillator Excited by a Filtered NoiseSIAM J. Math. Anal., 48(4), (2016), 2783–2805.

20.

Camia, F., Garban, C., & Newman, C. M., Planar Ising magnetization field II. Properties of the critical and near-critical scaling limits, Ann. Inst. H. Poincaré Probab. Statist. 52 (1), (2016), 146-161.

21.

Damron, M., Kogan, H., Newman, C. M., & Sidoravicius, V., Coarsening with a frozen vertex. Electron. Commun. Probab., 21 (2016), paper no. 9, 4 pp.

22.

Arguin, L. P., Newman, C. M., Stein, D. L., & Wehr, J., Zero-Temperature Fluctuations in Short-Range Spin Glasses. J Stat Phys, (2016) 163: 1069. 

23.

Xiaosen Han, Chang-Shou Lin, Yisong Yang, Resolution of Chern–Simons–Higgs Vortex Equations, Commun. Math. Phys. 343, (2016), 701–724

24.

Han, X., & Yang, Y., Magnetic impurity inspired Abelian Higgs vorticesJ. High Energ. Phys. (2016) 2016: 46.

25.

Han, X., & Yang, Y.Relativistic Chern–Simons–Higgs vortex equationsTrans. Amer. Math. Soc. 368 (2016), 3565-3590 

26.

Fanghua Lin, Changyou Wang (2016)."Global Existence of Weak Solutions of the Nematic Liquid Crystal Flow in Dimension Three", Communications on Pure and Applied Mathematics, Volume 69, Issue 8, August 2016, Pages 1532–1571

27.

Han, Xiaosen, and Yisong Yang (2015). "Topologically stratified energy minimizers in a product Abelian field theory.Nuclear Physics B, Volume 898, September 2015, Pages 605-626

28.

Y. Bao, J. Chen, B.-F. Liu, Z.-S. She, Jun Zhang and Q. Zhou, "Enhanced Heat Transport in Partitioned Thermal Convection.J. Fluid Mech., 784, (2015), R5 

29.

Hu, X., & Fanghua Lin, "Global Solutions of Two‐Dimensional Incompressible Viscoelastic Flows with Discontinuous Initial Data.Commun. Pur. Appl. Math., 69, (2015), 372–404.

30.

Arguin, L. P., Newman, C. M., & Stein, D. L., "Thermodynamic Identities and Symmetry Breaking in Short-Range Spin Glasses." Phys. Rev. Lett. 115, (2015), 187202.

31.

Brenner, N., Newman, C. M., Osmanovic, D., Rabin, Y., Salman, H., & Stein, D. L., "Universal Protein Distributions in a Model of Cell Growth and Division." Phys. Rev. E, 92, (2015), 042713.

32.

Xing-Bin Pan, "Regularity of Weak Solutions to Nonlinear Maxwell Systems." J. Math. Phys., 56(7), (2015), 071508.

33.

Chen, Shouxin, Gary W. Gibbons, and Yisong Yang, "Explicit Integration of Friedmann's Equation with Nonlinear Equations of State." J. Cosmol. Astropart. Phys., no. 05 (2015): 020.

34.

Sibner, Lesley, Robert Sibner, and Yisong Yang, "Existence of Hyperbolic Calorons." Proc. R. Soc. A, (2015), 471, 20140970

35.

Han, Xiaosen, and Yisong Yang, "Existence Theorems for Vortices in the Aharony–Bergman–Jaferis–Maldacena Model." Commun. Math. Phys. (2015) 333: 229.

36.

Xing-Bin Pan (2015). "A Brief Introduction on Some Mathematical Problems of Surface Superconductivity." Sciencepaper Online. 201503-2.

37.

Thiria B, Jun Zhang (2015). "Ratcheting fluid with geometric anisotropy." Appl. Phys. Lett. 106, 054106. DOI: 10.1063/1.4906927.

38.

Ristroph L, Liao J, and Jun Zhang (2015). "Lateral Line Layout Correlates with the Differential Hydrodynamic Pressure on Swimming Fish." Phys. Rev. Lett. 114, 018102. DOI: 10.1103/PhysRevLett.114.018102.

39.

Fanghua Lin, Ting Zhang (2015). "Global Small Solutions to a Complex Fluid Model in Three Dimensional", Rational Mechanics and Analysis, June 2015, Volume 216, Issue 3, pp 905–920

40.

Katarina Bellova, Fanghua Lin. (2015) "Nodal Sets of Steklov Eigenfunctions.Calculus of Variations and Partial Differential Equations, October 2015, Volume 54, Issue 2, pp 2239–2268

41.

Fanghua Lin, Changyou Wang (2014). "Recent Developments of Analysis for Hydrodynamic Flow of Nematic Liquid Crystals." Proc. Royal Soc. of Edienb. 372: 20130361. DOI: 10.1098/rsta.2013.0361

42.

Huang, Jinrui; Fanghua Lin; Wang, Changyou (2014). "Regularity and Existence of Global Solutions to the Ericksen-Leslie System in R2." Comm. Math. Phys. 331, no. 2, 805-850. 

43.

Fanghua Lin and Zhang, P. "Global Small Solutions to an MHD-Type System: The Three-Dimensional Case." Comm. Pure Appl. Math., 67: 531-580 (2014). DOI: 10.1002/cpa.21506.

44.

Newman C. M., Ravishankar K., and Schertzer E. (2014). "Brownian Net with Killing.Stoch. Proc. Applic., 125: 1148-1194. DOI:10.1016/j.spa.2014.09.018.

45.

Camia F., Garban C., and Newman C. M. (2014). "The Ising Magnetization Exponent on Z2 is 1/15." Probab. Theory Relat. Fields, 160:175–187, DOI: 10.1007/s00440-013-0526-8.

46.

Chen, Shouxin, Gary W. Gibbons, Yijun Li, and Yisong Yang (2014). "Friedmann's Equations in All Dimensions and Chebyshev's Theorem." Journal of Cosmology and Astroparticle Physics, no. 12 (2014): 035.

47.

K. Ward. “Values of Twisted Artin L-functions.” Archiv der Mathematik 103 (2014): 285-290.

48.

Xing-Bin Pan (2014). "Partial Sobolev Spaces and Anisotropic Smectic Liquid Crystals". Calculus of Variations and Partial Differential Equations, 51 (3), 963-998. DOI:10.1007/s00526-013-0701-x.

49.

Damron M., Kogan H., Newman C.M., and Sidoravicius V. (2013), "Fixation for Coarsening Dynamics in 2D Slabs." Electron. J. Probab., Volume 18 (2013), paper no. 105, 20 pp., DOI: 10.1214/EJP.v18-3059.

50.

Jun Chen, Xing-Bin Pan (2013). "An Extended Magnetostatic Born-Infeld Model with a Concave Lower Order Term." J. Math. Phys. 54, 111501 (2013); DOI: 10.1063/1.4826995

51.

A. Ghosh and K. Ward. "The Number of Roots of Polynomials of Large Degree in a Prime Field." International Mathematics Research Notices (2013); DOI: 10.1093/imrn/rnt227