个人基本信息
曾生达，波兰归国博士，副教授；美国数学评论评论员。主要从事非线性泛函分析、非光滑分析、非线性偏微分方程、接触力学问题、最优化控制理论、变分/H-半变分不等式等的研究。在SIAM J. Control Optim. 、Inverse Problems、SIAM J. Optim.、SIAM J. Math. Anal.、Calc. Var. PDE、Math. Z.、J. Differential Equations、中国科学：数学、J. Geom. Anal.等国际重要学术期刊发表论文多篇，其中ESI高被引论文10篇。荣获2018年国家优秀自费留学生奖学金，Acta Mathematica Scientia 2019和2021年优秀论文奖。现主持和主持完成，2项国家自然科学基金、1项波兰国家自然科学基金、1项广西自然科学杰出基金、1项广西自然科学青年项目。
主要研究方向
非线性泛函分析,非光滑分析,优化控制理论,非线性偏微分方程,变分/H半变分不等式,微分变分不等式,非光滑接触力学相关问题,流体力学问题
近年代表性论著
1. S.D. Zeng, N.S. Papageorgiou, V.D. Radulescu*, Nonsmooth dynamical systems: from the existence of solutions to optimal and feedback control, Bulletin des Sciences Mathématiques, 176 (2022), 103131.
2. J.X. Cen, T. Haddad, V.T. Nguyen, S.D. Zeng*, Simultaneous distributed-boundary optimal control problems driven by nonlinear complementarity systems, Journal of Global Optimization, (2022),
doi: 10.1007/s10898-022-01155-x.
3. S.D. Zeng, V.D. Radulescu*, P. Winkert, Double phase implicit obstacle problems with convection and multivalued mixed boundary value conditions, SIAM Journal on Mathematical Analysis, 54 (2021), 1898-1926.
4. S.D. Zeng*, S. Migorski, Z.H. Liu, Well-posedness, optimal control, and sensitivity analysis for a class of differential-hemivariational inequalities, SIAM Journal on Optimization, 31 (2021), 2829-2862.
5. S.D. Zeng*, Y.R. Bai, L. Gasinski, Nonlinear nonhomogeneous obstacle problems with multivalued convection term, Journal of Geometric Analysis, 32 (2021), 75.
6. S.D. Zeng*, S. Migorski, A.A. Khan, Nonlinear Quasi-hemivariational Inequalities: Existence and Optimal Control, SIAM Journal on Control and Optimization, 59 (2021), 1246-1274.
7. Z.H. Liu, D. Motreanu, S.D. Zeng*, Generalized Penalty and Regularization Method for Differential Variational-Hemivariational Inequalities, SIAM Journal on Optimization, 31 (2021), 1158-1183.
8. S.D. Zeng*, D. Motreanu, A.A. Khan, Evolutionary quasi-variational-hemivariational inequalities I: existence and optimal control, Journal of Optimization Theory and Applications, (2021), doi:10.1007/s10957-021-01963-3
9. S.D. Zeng*, Y.R. Bai, L. Gasinski, P. Winkert, Existence results for double phase implicit obstacle problems involving multivalued operators, Calculus of Variations and Partial Differential Equations, 59:176 (2020), 18 pages.
10. Y.R. Bai, N.S. Papageorgiou, S.D. Zeng*, A singular eigenvalue problem for the Dirichlet (p, q)-Laplacian, Mathematische Zeitschrift, (2021), doi: 10.1007/s00209-021-02803-w
11. 曾生达*, S. Migorski, 刘振海, 由拟线性反应扩散方程所驱动的非静态不可压缩Navier-Stokes系统, 中国科学:数学, (2020), doi.org/10.1360/SCM-2020-0396.
12. S. Migórski, A.A. Khan, S.D. Zeng*, Inverse problems for nonlinear quasi-hemivariational inequalities with application to mixed boundary value problems, Inverse Problems, 36 (2020), 22 pages.
13. J.J. Liu, X.M. Yang, S.D. Zeng*, Y. Zhao, Coupled Variational Inequalities: Existence, Stability and Optimal Control, Journal of Optimization Theory and Applications, (2021), doi.org/10.1007/s10957-021-01995-9
14. S.D. Zeng*, S. Migorski, Dynamic history-dependent hemivariational inequalities controlled by evolution equations with application to contact mechanics, Journal of Dynamics and Differential Equations, (2021), doi: 10.1007/s10884-021-10088-0
15. Z.H. Liu, D. Motreanu, S.D. Zeng*, Positive solutions for nonlinear singular elliptic equations of p-Laplacian type with dependence on the gradient, Calculus of Variations and Partial Differential Equations, 58 (2019), 22 pages.
16. S. Migorski, M. Sofonea, S.D. Zeng*, Well-posedness of history-dependent sweeping processes, SIAM Journal on Mathematical Analysis, 51 (2019), 1082-1107.
17. S. Migorski, A.A. Khan, S.D. Zeng*, Inverse problems for nonlinear quasi-variational inequalities with an application to implicit obstacle problems of p-Laplacian type, Inverse Problem, 35 (2019), ID: 035004 (14pp).
18. Z.H. Liu, S. Migorski, S.D. Zeng*, Partial differential variational inequalities involving nonlocal boundary conditions in Banach spaces, Journal of Differential Equations, 263 (2017), 3989-4006.
19. S. Migorski, S.D. Zeng*, A class of differential hemivariational inequalities in Banach spaces, Journal of Global Optimization, 72 (2018), 761-779.
20. S.D. Zeng*, J.X. Cen, A. Atangana, V.T. Nguyen, Qualitative analysis of solutions of obstacle elliptic inclusion problem with fractional Laplacian, Zeitschrift für angewandte Mathematik und Physik, 72 (2021), pages 17.
21. S. Migorski, S.D. Zeng*, Penalty and regularization method for variational‐hemivariational inequalities with application to frictional contact, ZAMM-Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte, 98 (2018), 1503-1520.
22. S. Migorski, S.D. Zeng*, Rothe method and numerical analysis for history-dependent hemivariational inequalities with applications to contact mechanics, Numerical Algorithms, 82 (2019), 423-450.
23. S.D. Zeng, E. Vilches*, Well-posedness of history/state-dependent implicit sweeping Processes, Journal of Optimization Theory and Applications, 186 (2020), 960-984.
24. D. Motreanu, V.T. Nguyen, S.D. Zeng*, Existence of solutions for implicit obstacle problems of fractional Laplacian type Involving set-valued operators, Journal of Optimization Theory and Applications, 187 (2020), 391-407.
25. Z.H. Liu*, S.D. Zeng, D. Motreanu, Evolutionary problems driven by variational inequalities, Journal of Differential Equations, 260 (2016), 6787–6799.
26. Y.R. Bai, L. Gasinski, P. Winkert, S.D. Zeng*, W1,p versus C1: The nonsmooth case involving critical growth, Bulletin of Mathematical Sciences, 10 (2020), 15 pages.
27. S.D. Zeng*, N.S. Papageorgiou, Positive solutions for (p, q)-equations with convection and a sign-changing reaction, Advances in Nonlinear Analysis, 11 (2022), 40-57.
28. Y.J. Liu, S. Migorski, V.T. Nguyen, S.D. Zeng*, Existence and convergence results for an elastic frictional contact problem with nonmonotone subdifferential boundary conditions, Acta Mathematica Scientia, 41 (2021), 1151-1168.
29. J.F. Han, L. Liang, S.D. Zeng*, Evolutionary variational-hemivariational inequalities with applications to dynamic viscoelastic contact mechanics, Zeitschrift für angewandte Mathematik und Physik, 71 (2020), pages 23.
30. S.D. Zeng, Z.H. Liu, S. Migorski*, A class of fractional differential hemivariational inequalities with application to contact problem, Zeitschrift für angewandte Mathematik und Physik, 69 (2018), pages 23.
31. S.D. Zeng*, Y.R. Bai, S. Migorski, V.T. Nguyen, Maximum principles for a class of generalized time-fractional diffusion equations, Fractional Calculus and Applied Analysis, 23 (2020), 822-836.
32. S.D. Zeng*, J.X. Cen, V.T. Nguyen, Generalized fractional evolution equations driven by fuzzy variational inequalities, Fuzzy Sets and Systems, (2021), doi:10.1016/j.fss.2021.01.005
33. S.D. Zeng*, Y.R. Bai, L. Gasinski, P. Winkert, Convergence analysis for double phase obstacle problems with multivalued convection term, Advances in Nonlinear Analysis, 10 (2021), 659-672.
34. S. Migórski, S.D. Zeng*, A class of generalized evolutionary problems driven by variational inequalities and fractional operators, Set-Valued and Variational Analysis, 27 (2019), 949-970.
35. J.J. Liu, X.M. Yang, S.D. Zeng*, Optimal control and approximation for elliptic bilateral obstacle problems, Communications in Nonlinear Science and Numerical Simulation, 102 (2021), ID: 105938.
36. Y. Bai, S. Migórski, S.D. Zeng*, A class of generalized mixed variational-hemivariational inequalities I: Existence and uniqueness results, Computers & Mathematics with Applications, 79 (2020), 2897-2911.
37. Y.R. Bai, S. Migorski, S.D. Zeng*, Generalized vector complementarity problem in fuzzy environment. Fuzzy Sets & Systems, 347 (2018), 142-151.
38. S.D. Zeng*, S. Migórski, Z.H. Liu, J.C. Yao, Convergence of a generalized penalty method for variational-hemivariational inequalities, Communications in Nonlinear Science and Numerical Simulation, 92 (2020), ID: 105476.
39. S. Migórski, W.M. Han, S.D. Zeng*, A new class of hyperbolic variational-hemivariational inequalities driven by non-linear evolution equations, European Journal of Applied Mathematics, 32 (2021), 59-88.
40. S. Migorski, S.D. Zeng*, The Rothe method for multi-term time fractional integral diffusion equations, Discrete and Continuous Dynamical Systems - Series B, 24 (2019), 719-735.
教学与科研项目
n 2021--2023
主持, 国家自然科学基金, 青年项目, 在研
项目名称: 一类微分变分-H半变分不等式及应用研究
资助费用: 30万人民币
n 2021--2021
主持, 国家自然科学基金, 天元项目, 结题
项目名称: 一类强隐式约束非光滑发展系统的最优化控制问题
资助费用: 10万人民币
n 2018--2020
主持, 波兰自然科学基金, Preludium研究项目, 结题
项目名称: Mathematical Analysis of Complex Contact Models in Solid and Fluid Mechanics
资助费用: 9万兹罗提(约17万人民币)
n 2021--2025
主持, 广西自然科学基金, 杰出青年项目, 在研
项目名称: 具有光滑和非光滑约束的非线性系统
资助费用: 40万人民币
n 2021--2023
主持, 广西自然科学基金, 青年项目, 在研
项目名称: 微分H半变分不等式解的定性研究
资助费用: 5万人民币