Name: Xiaosen Han
Title: Professor
Office: F201
E-mail: hanxiaosen@henu.edu.cn(xiaosen_han@163.com)
Research Field: Partial Differential Equations &Mathematical Physics
Education:
2006.09-2009.06, Ph. D., Southeast University, Applied Mathematics
2001.09-2004.07, M.S., Henan University, Fundamental Mathematics
1997.09-2001.07, B.S., Henan University, Mathematics Education
Position:
2016.11- , Henan University, School of Mathematics and Statistics, Professor
2011.04-2016.11, Henan University, School of Mathematics and Statistics, Associate Professor
2015.08-2016.08, The University of Rome Tor Vergata, Department of Mathematics, Visiting Scholar
2014.03-2014.08, National Taiwan University, Mathematical Sciences Center, Visiting Scholar
2013.07-2014.01, National Taiwan University, Mathematical Sciences Center, Visiting Scholar
2011.08-2012.08, New York University Polytechnic School of Engineering, Department of Mathematics, Visiting Scholar
2007.11-2011.03, Henan University, School of Mathematics and Statistics, Instructor
2004.07-2007.10, Henan University, School of Mathematics and Statistics, Assistant
Teaching:
Undergraduate courses: Ordinary Differential Equation, Equation of Mathematical Physics, Graduate courses: Partial Differential Equations, Introduction of Sobolev Spaces, Calculus of Variations
Research Funding:
1. Studies on Dually Charged Chern-Simons-Higgs Vortex Equations and Related Problems (12071111), National Natural Science Foundation of China, 202101-202412, PI
2. Nonlinear Partial Differential Equations Problem Appearing in Quantum Field Theory (11671120), National Natural Science Foundation of China, 201701-202012, PI
3. Existence and Related Properties of Solutions for Two Classes of Nonlinear Partial Differential Equations Appearing in Field Theory (1120111), National Natural Science Foundation of China, 201301-201512, PI
4. Global Existence, Blow up and Large Time Behavior of Solutions for Some Nonlinear Evolution Equations (11026077), National Natural Science Foundation of China, 201101-201112, PI
5. Problems of Partial Differential Equations in Quark Confinement Mechanism (11471100), participant, National Natural Science Foundation of China, 201501-201812, Co-PI
6. The Vortex Solution of Partial Differential Equation in Field Theory(11471099), National Natural Science Foundation of China, 201501-201812, Co-PI
Selected Publications
1. Xiaosen Han, Gabriella Tarantello, Multiple solutions for the non-Abelian Chern-Simons-Higgs vortex equations. Ann. Inst. H. Poincaré Anal. Non Linéaire 36 (2019), no. 5, 1401-1430.
2. Xiaosen Han, Genggeng Huang, Existence theorems for a general 2×2 non-Abelian Chern-Simons-Higgs system over a torus, Joural of Differential Equations 263 (2017) 1522-1551.
3. Xiaosen Han, Gabriella Tarantello, Non-topological Vortex Configurations in the ABJM Model, Communications in Mathematical Physics, 352 (2017) 345-385.
4. Xiaosen Han, The Born-Infeld vortices induced from a generalized Higgs mechanism, Proceedings of the Royal Society of London. A, 472 (2016) 20160012.
5. Xiaosen Han, Chang-Shou Lin, Yisong Yang, Resolution of Chern-Simons-Higgs Vortex Equations, Communications in Mathematical Physics, 343 (2016) 701-724.
6. Xiaosen Han, Yisong Yang, Relativistic Chern-Simons-Higgs Vortex Equations, Transactions of the American Mathematical Society, 368 (2016) 3565-3590.
7. Xiaosen Han, Yisong Yang, Magnetic Impurity Inspired Abelian Higgs Vortices, Journal of High Energy Physics, 02 (2016) 046.
8. Xiaosen Han, Yisong Yang, Existence Theorems for Vortices in the Aharony-Bergman-Jaferis-Maldacena Model, Communications in Mathematical Physics, 333(2015) 229-259.
9. Xiaosen Han, Chang-Shou Lin, Gabriella Tarantello, Yisong Yang, Chern-Simons Vortices in the Gudnason Model, Journalof Functional Analysis, 267(2014) 678-726.
10. Xiaosen Han, Gabriella Tarantello, Doubly Periodic Self-dual Vortices in a Relativistic Non-Abelian Chern-Simons Model, Calculus of Variations and Partial Differential Equations, 49 (2014) 1149-1176.
11.Shouxin Chen, Xiaosen Han, G. Lozano, Fidel A. Schaposnik, Existence theorems for non-Abelian Chern-Simons-Higgs vortices with flavor, Journal of Differential Equations, 259 (2015) 2458-2498.
12. Xiaosen Han, Yisong Yang, Topologically Stratified Energy Minimizers in a Product Abelian Field Theory, Nuclear Physics B, 898 (2015) 605-626.
13. Xiaosen Han, A Sharp Existence Theorem for Vortices in the Theory of Branes, Annales Henri Poincare, 15 (2014) 2467-2487.
14. Xiaosen Han, Chang-Shou Lin, Existence of Non-Abelian Vortices with Product Gauge Groups, Nuclear Physics B, 878 (2014) 117-149.
15. Xiaosen Han, Existence of Doubly Periodic Vortices in a Generalized Chern-Simons Model, Nonlinear Analysis: Real World Applications, 16 (2014) 90-102.
16. Shouxin Chen, Xiaosen Han, An Existence Theorem for a Generalized Self-dual Chern-Simons Equation and Its Application, Zeitschrift fur Angewandte Mathematik und Physik, 64 (2013) 1555-1570.
17. Xiaosen Han, The Existence of Multi-vortices for a Generalized Self-dual Chern-Simons Model, Nonlinearity, 26(2013) 805-835.
18. Xiaosen Han, Global Existence of Weak Solutions for A Logarithmic Wave Equation Arising from Q-ball Dynamics, Bulletin of the Korean Mathematical Society, 50 (2013) 275-283.
19. Xiaosen Han, Mingxin Wang, Global Existence and Blow-up of Solutions for Nonlinear Viscoelastic Wave Equation with Degenerate Damping and Source, Mathematische Nachrichten, 284 (2011) 703-715.
Honors and Awards:
1. The 13th Henan Youth Science and Technology Award, 2018.
2. Excellent Professor in Kaifeng City, 2018.
Talks:
1. Workshop of Partial Differential Equations, Wuhan University of Technology, Jul. 14-16, 2020;
2. Workshop of Elliptic and Parabolic Partial Differential Equations and Applications, Nov. 15-18, 2019;
3. Invited talk, Henan Polytechnic University, Jul. 2019;
4. Invited talks, Fudan University, Shanghai Jiaotong University, May, 2019;
5. Invited talks, Central China Normal University, Wuhan University of Technology, May, 2019;
6. Invited talk, University of Electronic Science and Technology of China, Oct. 2018;
7. Invited talk, Workshop on Mean Field Equations and Related Topics, Jun. 2018;
8. Invited talk, Workshop on Geometric Analysis, May 2018;
9. Invited talks, Tsinghua University and Beijing University of Technology, Jun. 2017;
10. Invited talks, New York University Shanghai, East China Normal University and Donghua University, Nov. 2016;
11. Invited talk, Workshop on Reaction Diffusion Equation and Its Application, Jiangsu Normal University, Sep. 2016.
12. Invited talk for analysis group, Annual Meeting CMS 2015, Nov. 2015;
13. Invited talk, University of Rome "Tor Vergata", Oct. 2015;
14. Invited talk, the Annual Mathematics Meeting of Henan Province 2015, Jul. 2015;
15. Invited talk, Doctoral Forum on Mathematics Henan Province, Dec.2014;
16. Invited talk, the Sixth Nonlinear Partial Differential Equation Conference in Henan Province, Dec.2014;
17. Invited talks, City University of New York, Mar.& Apr. 2012.
