Research Fields and Interests: Partial differential equations

Education Background:

2009.09--2012.07: PhD in Basic Mathematics, Sun Yat-sen University

2006.09--2009.07: Master Degree in Basic Mathematics of Lanzhou University

2004.09--2006.07: Bachelor Degree in Mathematics and Applied Mathematics, Luoyang Normal University

Teaching Courses:

Undergraduate courses:  Advanced Mathematics, Probability Theory and Mathematical Statistics

Postgraduate courses:  Neural Networks and Deep Learning, Natural Language Processing

Representative Publications：

[1] Liu J, Pucci P. Existence of solutions for a double-phase variable exponent equation without the Ambrosetti-Rabinowitz condition [J]. Advances in Nonlinear Analysis, 2023, 12(1): 20220292.

[2] Liu J, Ji C. Concentration results for a magnetic Schrödinger-Poisson system with critical growth [J]. Advances in Nonlinear Analysis, 2020, 10(1): 775-798.

[3] Liu J. Blow-up phenomena for the rotation-two-component Camassa–Holm system [J]. Applicable Analysis, 2021, 100(3): 574-588.

[4] Liu J, Pucci P, Zhang Q. Wave breaking analysis for the periodic rotation-two-component Camassa–Holm system [J]. Nonlinear Analysis, 2019, 187: 214-228.

Funding:

[1] National Natural Science Foundation of China (Youth Foundation), 11701525, Research on nonlinear dispersion wave equations with two components, 2018/01-2020/12, 252,000 yuan, Conclusion, Host;

[2] National Natural Science Foundation of China, 11971446, Research on Appropriate Weak solutions of Incompressible Navier-Stokes Equations, 2019/01-2023/12, 500,000 yuan, participated;

[3] Young Key Teachers Project, Zhengzhou University of Light Industry, 2015XGGJS003, Research on the overall solution of the two-component Degasperis-Procesi system, 2015/9-2018/9, 5,000 yuan, Conclusion, host;

[4] Tianyuan Foundation of National Natural Science Foundation of China, 11326161, Research on some problems of modified two-component Camassa-Holm System, 2014/01-2014/12, 30,000 yuan, Conclusion, Host.

Honors:

Excellent Master's degree thesis advisor of Zhengzhou University of Light Industry, Excellent advisor of Blue Bridge Cup

Professional Affiliations：The American Mathematical Review, reviewer for SCI journals AIMS Mathematics、 Electronic Journal of Qualitative Theory of Differential Equations、Advanced Nonlinear Studies、Math、Mathematical Methods in the Applied Sciences.