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JIANGSU UNIVERSITY
School of Mathematical Sciences
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Jun Wang
Date:2019-10-11  View:
 
Name:Jun Wang
Title: Professor, Ph.D Supervisor
Research Fields & Orientations
Nonlinear Partial Differential Equations, Variational Methods, Bifurcation theory and its application, Mathematical physic model, Dynamic game theory and its application
Postgraduate Enrollment Specialty
Mathematics, Control Science and Engineering
Telephone:0511-88780759
E-mail: wangmath2011@126.com & wangj2011@ujs.edu.cn
Address: Xue Fu Road 301, Zhenjiang, Jiangsu university 212013
 
Education and Academic Positions:            
● April 2018-Now, Professor in Jiangsu University,

2013-2014, 2018-2019: Senior Visiting Scholar, Department of Mathematics, College William & Mary, USA. Advisers: Professor Junping Shi

Jan-Feb 2024, Visiting Professor, University of Sydney, University of New England, Macquarie University, Australia, Advisers: Professors Yihong Du, Ji Li, Daniel Hauer

October 2015-Jan 2016, April-May 2016, Post-doctoral, National Taiwan University, Taiwan, China. Adviser: Professor Chang-Shou Lin

June 2015-July 2015: Senior Visiting Scholar, Chinese Academy of Science, China. Advisers: Professor Zhitao Zhang

June 2012-July 2012: Senior Visiting Scholar, Chern Institute of Mathematics, Nankai University, China. Advisers: Professor Zhi-Qiang Wang

July 2014-April 2018, Associate Professor in Jiangsu University, China.

May 2011-June 2014, Assistant Professor in Jiangsu University, China.

Ph.D in Mathematics, Southeast University, China, September 2008-May 2011, Advisers: Professor Xu Junxiang

M. S. in Mathematics, Southeast University, China, September 2006-June 2008Advisers: Professor Fubao Zhang

Undergraduate in Mathematics, Jishou University, China, September 2002- June 2006

 
Part-time Academic and Social Work:
● 2019/06-Now,Director of Jiangsu Mathematics Society
● 2016/12-Now,《Math Review》of American Mathematics Society
● 2020/10-Now,Reviewer of《zbMATH》
● 2019/06-Now, Director of Jiangsu Systems Engineering Association
 
Teaching Courses:
● Functional Analysis and its applications(Ph.D Student)
● Equations of Mathematical Physics, Functional analysis
● Real Analysis; ODE; Linear Algebra; Advanced Mathematics
 
Research Grants:
● Research on the existence and properties of solutions in several types of nonlinear variational problems, January 2024-December 2027, NNSFC, 435,000 Chinese Yuan. (PI: J. Wang,)

Research on Variation methods and Yang-Mills equation, December 2022-December 2027, National Key R&D Program of China, 650,000 Chinese Yuan. (PI: J. Wang)

Research on the existence of solutions and orbital stability for several classes of Nonlinear Elliptic Equations, January 2020-December 2023, National Natural Science Foundation of China, 620,000 Chinese Yuan.(PI: J. Wang, co-PI:J.-P. Shi)

Research on the properties of positive solutions of Some Nonlinear Elliptic Equations with variational structure, 1,000,000 Chinese Yuan(PI: J. Wang)

Research on some problems of several types of elliptic equations in whole space, January 2016-December 2019, National Natural Science Foundation of China, 650,000 Chinese Yuan.(PI: J. Wang, co-PI: X. Xu, F. Zhang)

Research on traveling wave solutions and vortex solutions of Schrodinger equations in optical fiber propagation, November 2017-October 2020, No: XYDXX-015, Six talent peaks project in Jiangsu Province, 40,000 Chinese Yuan.(PI: J. Wang)

Research on the existence of solutions to nonlinear elliptic equations, January 2016-December 2019, No: BK20160063, National Natural Science Foundation of Jiangsu Province, 500,000 Chinese Yuan.(PI: J. Wang)

Research on some problems of elliptic equations with critical growth, January 2013-December 2015, No: 11201186, National Natural Science Foundation of China, 230,000 Chinese Yuan.(PI: J. Wang, co-PI: C. Shen, H. Ni, W. Chen)

Research on the existence of ground state solutions for nonlinear elliptic equations, January 2013-December 2015, No: BK2012282, Natural Science Foundation of Jiangsu Province , 200,000 Chinese Yuan.(PI: J. Wang, co-PI: H. Wu, C. Shen, W. Chen).

Research on the existence of ground state solutions for Semiclassical nonlinear elliptic equations, July 2013-July 2015, China Postdoctoral Science Special Foundation funded project,No: 2013T60499, 150,000 Chinese Yuan.(PI: J. Wang)

 
Selected Academic Publications:
● L. Cai, Jun Wang, J.-C. Wei, W. Yang, Infinite time bubble towers in the fractional heat equation with critical exponent, To appear in Ann. Sc. Norm. Super. Pisa, 2024.

J. Wang, Classification and qualitative analysis of positive solutions of the nonlinear Hartree type system, Mathematische Zeitschrift (2024) 306:5

L.-L. Cui, Y. Liu, C.-H. Wang, J. Wang, W. Yang, The Einstein-scalar field Lichnerowicz equations on graphs, Calc. Var. Partial Differential Equations, (2024) 63:138.

J. Wang, An abstract instability theorem of the bound states for Hamiltonian PDEs and its application, Annali di Matematica Pura ed Applicata (1923 -), https://doi.org/10.1007/s10231-024-01426-2, 2024.

A. Jevnikar, J. Wang, W. Yang, Liouville type theorems and periodic solutions for the nonhomogeneous parabolic systems, Z. Angew. Math. Phys., 74  (2023), no. 4, Paper No. 145, 29 pp.

J. Wang, H. Zhou, Existence and multiplicity of normalized solution for the coupled elliptic system with quadratic nonlinearity,  J. Geom. Anal., 33 (2023), no. 8, Paper No. 244, 44 pp.

J.-P. Shi, J. Wang, Standing waves of coupled Schrödinger equations with quadratic interactions from Raman amplification in a plasma, Ann. Henri Poincaré, 24 (2023), no. 6, 1923–1970.

Q.-P. Geng, Y.-Y. Tu, J. Wang, Existence and multiplicity of the positive normalized solutions to the coupled Hartree-Fock type nonlocal elliptic system, J. Fixed Point Theory Appl., 24 (2022), no. 4, Paper No. 83, 31 pp.

Q.-P. Geng, Y.-Y Dong, J. Wang, Existence and multiplicity of nontrivial solutions of weakly coupled nonlinear Hartree type elliptic system, Z. Angew. Math. Phys., 73 (2022), no. 2, Paper No. 72, 25 pp.

H.-Y. Huang, J. Wang, W. Yang, Mean field equation and relativistic Abelian Chern-Simons model on finite graphs, J. Funct. Anal., 281 (2021), no. 10, Paper No. 109218

J. Wang, Existence of normalized solutions for the coupled Hartree-Fock type system, Math. Nachr., 294 (2021), no. 10, 1987–2020.

F. Qin, J. Wang, J. Yang, Infinitely many positive solutions for Schrödinger -Poisson systems with nonsymmetry potentials, Discrete Contin. Dyn. Syst., 41 (2021) , 4705-4736.

J. Xu, Q. Li, J. Wang, Response solutions of 3-dimensional degenerate quasi-periodic systems with small parameter, Journal of Differential Equations,  293 (2021), 188–225.

J. Wang, J.-X. Xu, Existence of Positive and Sign-Changing Solutions to a Coupled Elliptic System with Mixed Nonlinearity Growth, Ann. Henri Poincare, 21 (2020), 2815–2860

Q.-P. Geng, M. Liao, J. Wang, Existence and bifurcation of nontrivial solutions for the coupled nonlinear Schrodinger-Korteweg-de Vries system, Z. Angew. Math. Phys., (2020) 71:33

J. Wang, Z.-A. Wang, W. Yang, Uniqueness and convergence on equilibria of the Keller-Segel system with subcritical mass, Communications in Partial Differential Equations (2019), 2019, VOL. 44, NO. 7, 545–572.

J. Wang, Q.-P. Geng, M.-C. Zhu, Existence of the normalized solutions to the nonlocal elliptic system with partial confinement,  Discrete Contin. Dyn. Syst., 39 (2019) 1-15.

M. Du, L.-X. Tian, J. Wang, F. Zhang, Existence of normalized  solutions for nonlinear fractional Schrodinger equations with trapping potentials, Proc. Roy. Soc. Edinburgh Sect. A, 149 (2019), 617-653.

J. Wang, W. Yang, Normalized solutions and asymptotical behavior of minimizer for the coupled Hartree equations, Journal of Differential Equations, 265 (2018), 501-544.

J. Wang, Solitary waves for coupled nonlinear elliptic system with nonhomogeneous nonlinearities, Calc. Var. Partial Differential Equations, 56 (2017), no. 2, Paper No. 38.

K. Pereraa, C. Tintarev, J. Wang, Z.-T. Zhang, Ground and bound state solutions for a Schrodinger system with linear and nonlinear coulpings in R^N. Advances in Differential Equations 23(2018), 615-648.

J. Wang, J.-P. Shi, Standing waves for a coupled nonlinear Hartree equations with nonlocal interaction, Calc. Var. Partial Differential Equations, (2017) 56:168

J. Wang, Z.-S. Feng, Multiple nontrivial solutions for a class of nonlinear Schrodinger equations with linear coupling, Dyn. Partial Differ. Equ., Vol.14, No.2, 159-200, 2017.

G.-W. Dai, J. Wang, Nodal solutions to problem with mean curvature operator in Minkowski space, Differential and Integral Equations, 30, Nmbers 5-6 (2017), 463-480.

X.-F. Cao, J.-X. Xu, J. Wang, The existence of solutions with prescribed L^2-norm for Kirchhoff type system, J. of Mathematical Physics 58, 041502 (2017).

J. Wang, J.-P. Shi, Standing waves of a weakly coupled Schrodinger system with distinct potential functions, J. Differential Equations, 260 (2016) 1830-1864.

J. Wang, L.-X. Tian, J.-X. Xu, F. Zhang, Existence of multiple positive solutions for Schrodinger-Poisson systems with critical growth, Z. Angew. Math. Phys. 66 (2015), 2441-2471.

J. Wang, D.-C. Lu, J.-X. Xu, F.-B. Zhang, Multiple positive   solutions for semilinear Schrodinger equations with critical growth in R^N. J. of Mathematical Physics 56, 041503 (2015)

J. Wang, T.-Q. An, F.-B. Zhang, Positive solutions for a class of quasilinear problems with critical growth in R^N. Proc. Roy. Soc. Edinburgh Sect. A 145A, 1-34, 2015.

J. Wang, J.-X. Xu, F.-B. Zhang, X. Chen, Existence of multi-bump   solutions for a semilinear Schrodinger equation on RN. Nonlinearity 26 (2013) 1377-1399.

J. Wang, L. Tian, J. Xu, F. Zhang, Existence and concentration of positive ground state solutions for semilinear Schrodinger-Poisson systems in R3. Calc. Var. Partial Differential Equations, 48 (2013) 243-273.

J. Wang, L. Tian, J. Xu, F. Zhang, Existence and concentration of positive ground state solutions for semilinear Schrodinger-Poisson systems, Advanced Nonlinear Studies, 13 (2013), 553-582.

J. Wang, L. Tian, J. Xu, F. Zhang, Multiplicity and concentration of positive solutions for a Kirchhoff type problem with critical growth. Journal Differential Equations, 253 (2012) 2314-2351.

J. Wang, J. Xu, F. Zhang, Existence of semiclassical ground state solutions for semilinear elliptic systems. Proc. Roy. Soc. Edinburgh Sect. A, 142A, 867-895, 2012.

J. Wang, L. Tian, J. Xu, F. Zhang, Existence and nonexistence of the ground state solutions for nonlinear Schrodinger equations with nonperiodic nonlinearities, Math. Nachr., 285, No. 11-12, (2012) 1543-1562.

 
Honors & Awards:
● September 2020, Outstanding Young Foundation of Jiangsu Province, China

January 2019, Second Prize of Excellent Achievements Award of Scientific Research in Colleges and Universities of the Ministry of Education(Second rank)

October 2017, Six talent peaks project in Jiangsu Province, China

May 2014 “Honorable Mention” in the annual China's 100 top Ph.D thesis.

May 2012 Excellent Doctoral Dissertation of Jiangsu Province.

 
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