查冬兵 教授

查冬兵, 男,浙江嘉兴人,1985年10月出生,本科毕业于山东大学数学学院,博士毕业于复旦大学数学科学学院。现任东华大学教授、博士生导师。研究方向为偏微分方程及其应用。相关研究论文发表于 Journal de Mathematiques Pures et Appliquees、Journal of Functional Analysis、Calculus of Variations and Partial Differential Equations、ESAIM:Control, Optimisation and Calculus of Variations、Journal of Differential Equations 等数学杂志。
研究方向:
应用偏微分方程
近年来承担的主要科研项目:
1.国家自然科学基金面上项目(批准号:12371217), 拟线性波动方程的若干研究, 2024-01-01 至 2027-12-31, 43.5万元, 主持。
近年来发表的代表性论著、专利:
论文
1.Dongbing Zha, Scattering and rigidity for nonlinear elastic waves. Calculus of Variations and Partial Differential Equations 63 (2024), no. 5, Paper No. 115, 29 pp.
2. Dongbing Zha, Global existence of nonlinear elastic waves: non-hyperelastic case. Journal of Differential Equations 407 (2024), 84–101.
3. Dongbing Zha, Global stability of solutions to two-dimension and one-dimension systems of semilinear wave equations, Journal of Functional Analysis 282 (2022), no. 1, Paper No. 109219, 26 pp.
4. Weimin Peng, Dongbing Zha, Long time existence for two-dimension elastic waves. Journal of Differential Equations 318 (2022), 384–413.
5. Dongbing Zha, Fanshun Wang, On initial-boundary value problems for one-dimension semilinear wave equations with null conditions. Journal of Differential Equations 275 (2021), 638–651.
6. Dongbing Zha, Jianli Liu, Yi Zhou, Global nonlinear stability of one kind of large solutions to evolutionary Faddeev model, Calculus of Variations and Partial Differential Equations 60 (2021), no. 1, Paper No. 35, 31 pp.
7. Dongbing Zha, Weimin Peng, Remarks on nonlinear elastic waves with null conditions, ESAIM: Control, Optimisation and Calculus of Variations 26 (2020), Paper No. 121, 21 pp.
8. Dongbing Zha, Kunio Hidano, Global solutions to systems of quasilinear wave equations with low regularity data and applications, Journal de Mathematiques Pures et Appliquees (9) 142 (2020), 146–183.
9. Dongbing Zha, Weimin Peng, Yuming Qin, Global existence and asymptotic behavior for some multidimensional quasilinear hyperbolic systems. Journal of Differential Equations 269 (2020), no. 11, 9297–9309.
10. Dongbing Zha, On one-dimension quasilinear wave equations with null conditions. Calculus of Variations and Partial Differential Equations 59 (2020), no. 3, Paper No. 94, 19 pp.
11. Dongbing Zha, On nonlinear elastic waves in 2-D. Journal of Differential Equations 268 (2020), no. 3, 1250–1269.
12. Dongbing Zha, Remarks on energy approach for global existence of some one-dimension quasilinear hyperbolic systems. Journal of Differential Equations 267 (2019), no. 11, 6125–6132.
13. Dongbing Zha, Global and almost global existence for general quasilinear wave equations in two space dimensions.Journal de Mathematiques Pures et Appliquees (9) 123 (2019), 270–299.
14. Dongbing Zha, Space-time L^2 estimates for elastic waves and applications. Journal of Differential Equations 263 (2017), no. 4, 1947–1965.
15. Dongbing Zha, Yi Zhou, Lifespan of classical solutions to quasilinear wave equations outside of a star-shaped obstacle in four space dimensions. Journal de Mathematiques Pures et Appliquees (9)
主要学术兼职:
1、美国数学学会《数学评论》评论员
2、德国《数学文摘》评论员
国际交流与合作:
2020年1月至2020年10月,伦敦玛丽女王大学,访问学者。
E-MAIL:ZhaDongbing@dhu.edu.cn