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Xiaosen Han

No.1:Basic Information
Xiaosen Han(born October,1979), Professor



No.2:Education
Ph. D., Southeast University, 2006.09-2009.06, Applied Mathematics
M.S., Henan University, 2001.09-2004.07, Fundamental Mathematics
B.S., Henan University, 1997-2001.07, Mathematics Education



No.3:Working Experience
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



No.4: Teaching Activity
Undergraduate courses: Ordinary Differential Equation, Equation of Mathematical Physics, Functions of Real Variable, Functional Analysis, Complex Variables, Higher Mathematics

Graduate courses: Partial Differential Equations, Introduction of Sobolev Spaces, Calculus of Variations



No.5: Research Interests
Nonlinear Partial Differential Equations and Mathematical Physics, Nonlinear Analysis



No.6: Research Projects(PI/AR)
PI(Principal Investigator):
1. Nonlinear Partial Differential Equations Problem Appearing in Quantum Field Theory(11671120), General Program of the National Natural Science Foundation of China, 2017/01-2020/12, 500,000RMB, under research, PI
2. Existence and Related Properties of Solutions for Two Classes of Nonlinear Partial Differential Equations Appearing in Field Theory(1120111), Youth Project of National Natural Science Foundation of China, 2013/01-2015/12, 230,000RMB, finished, PI
3. Global Existence, Blow up and Large Time Behavior of Solutions for Some Nonlinear Evolution Equations(11026077), Tianyuan Youth Project of National Natural Science Foundation of China, 2011/01-2011/12, 30,000RMB, finished, PI

AR(assistant researcher):
1. General Program of the National Natural Science Foundation of China: Problems of Partial Differential Equations in Quark Confinement Mechanism (11471100), participant, under research
2. General Program of the National Natural Science Foundation of China: The Vortex Solution of Partial Differential Equation in Field Theory(11471099), participant, under research



No.7: Selected Publications
1.Xiaosen Han, Genggeng Huang; Existence theorems for a general 2×2 non-Abelian Chern–Simons–Higgs system over a torus, Journal of Differential Equations 263 (2017) 1522–1551.
2.Xiaosen Han, Gabriella Tarantello, Non-topological Vortex Configurations in the ABJM Model, Communications in Mathematical Physics, 352 (2017) 345–385
3.Xiaosen Han, The Born-Infeld vortices induced from a generalized Higgs mechanism, Proceedings of the Royal Society of London. A, 2016,472(4) :  20160012.
4.Xiaosen Han, Chang-Shou Lin, Yisong Yang, Resolution of Chern-Simons-Higgs VortexEquations, Communications in Mathematical Physics, 2016, 343(2):701-724.
5.Xiaosen Han, Yisong Yang, Relativistic Chern-Simons-Higgs Vortex Equations,Transactions of the American Mathematical  Society, 2016,368(5):3565-3590.
6.Xiaosen Han,Yisong Yang,Magnetic Impurity Inspired Abelian Higgs Vortices,Journal of High Energy Physics,2016,2(46):1-18.
7.Xiaosen Han, Yisong Yang, Existence Theorems for Vortices in theAharony-Bergman-Jaferis-Maldacena Model, Communicationsin Mathematical Physics,2015,333(1):229-259.
8.Xiaosen Han, Chang-ShouLin, Gabriella Tarantello, Yisong Yang, Chern-SimonsVortices in the Gudnason Model,Journalof Functional Analysis,2014,267(3):678-726.
9.Xiaosen Han, GabriellaTarantello, Doubly Periodic Self-dualVortices in a RelativisticNon-Abelian Chern–Simons Model, Calculusof Variations and Partial Differential Equations,2014,49(3-4):1149-1176.
10.Shouxin Chen, XiaosenHan, G. Lozano, Fidel A. Schaposnik, Existence theorems for non-Abelian Chern-Simons-Higgsvortices with flavor, Journal ofDifferential Equations, 2015, 259(6): 2458-2498.
11.Xiaosen Han, YisongYang, Topologically Stratified Energy Minimizers in aProduct Abelian Field Theory,NuclearPhysics B,2015,898(1):605-626.
12 Xiaosen Han,ASharp Existence Theorem for Vortices in the Theory of Branes,Annales Henri Poincare,2014,15(12):2467-2487.
13.Xiaosen Han,Chang-ShouLin,Existence of Non-Abelian Vortices with Product GaugeGroups,Nuclear Physics B,2014,878(1):117-149.
14.Xiaosen Han, Existenceof Doubly Periodic Vortices in a Generalized Chern-Simons Model,Nonlinear Analysis: Real World Applications,2014,16(1):90-102.
15.Shouxin Chen,XiaosenHan,An Existence Theorem for aGeneralized Self-dual Chern–Simons Equation and Its Application,Zeitschrift fur AngewandteMathematik und Physik,2013,64(5):1555-1570.
16.Xiaosen Han, TheExistence of Multi-vortices for a Generalized Self-dual Chern-Simons Model,Nonlinearity,2013,26(3):805-835.
17.Xiaosen Han, GlobalExistence of Weak Solutions for A Logarithmic Wave Equation Arising from Q-ballDynamics,Bulletin of the KoreanMathematical Society,2013,50(1):275-283.
18.Xiaosen Han,Mingxin Wang,Global Existence and Blow-up of Solutions for Nonlinear Viscoelastic Wave Equation with Degenerate Damping and Source, Mathematische Nachrichten,2011.3.15,284(5-6):703-715.



No.8:Honors and Awards
1.The 13th Henan Youth Science and Technology Award, 2018
2.Sharp existence theorem for vortices in the theory of branes, 2015, The Third Henan Natural Science Academy Award, first prize, first winner
3.Global existence and blow-up of solutions for nonlinear viscoelastic wave equation with degenerate damping and source, 2014, Henan Excellent Science and Technology Paper Award, first prize, first winner
4.Global existence and blow-up of solutions for a system of nonlinear viscoelastic wave equations with damping and source, 2011, The first Henan Natural Science Academy Award, first prize, first winner



No.9: Academic Exchange
In June 2017, he was invited to give an academic report at Tsinghua University and Beijing University of Technology.
In November 2016, he was invited to give a lecture at New York UniversityShanghai, East China Normal University and Donghua University.
In September 2016, he was invited to give a report on "Reaction Diffusion Equation and Its Application" seminar held by Jiangsu Normal University.
In November 2015, he was invited to give an analysis group report at the National Mathematics Annual Meeting.
In October 2015, he was invited to make a report at themathematics department of University of Rome "Tor Vergata".
In July 2015, he was invited to give a report on the Annual Mathematics Meeting of Henan Province.
In December 2014, he was invited to make a report at the Henan Mathematical Doctoral Forum.
In October 2014, he participated and made a speechat the Sixth Nonlinear Partial Differential Equation Conference in Henan Province.
In March/April 2012, he was invited to do a series of academic reports on the Chern-Simons-Higgs vortex equation at the City University of New York.






 

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