主持科研项目
国家自然科学基金,面上项目,2024年1月-2027年12月,在研
江苏省高层次人才项目,2023年10月-2026年10月,在研
参与科研项目
国家自然科学基金,重点项目,2025年1月-2029年12月,在研
German Research Foundation (DFG),Priority Programme,2020年11月-2022年10月,结题
German Research Foundation (DFG),Priority Programme,2017年10月-2019年12月,结题
国家自然科学基金,面上项目,2016年1月-2019年12月,结题
已发表
14. Jiawei Liu, Xi Zhang, The openness theorems on convergence of the twisted Kähler-Ricci flows, SCIENCE CHINA Mathematics, 2025, http://engine.scichina.com/doi/10.1007/s11425-023-2338-5.
13. Xishen Jin, Jiawei Liu, Stability of the generalized Lagrangian mean curvature flows in cotangent bundles, Annals of PDE, 2024, 10, article number 18.
12. Xishen Jin, Jiawei Liu, The twisted conical Kähler-Ricci solitons on Fano manifolds, SCIENCE CHINA Mathematics, 2024, 67(5), 1085-1102.
11. Pengfei Guan, Jiuzhou Huang, Jiawei Liu, Non-homogeneous fully nonlinear contracting flows of convex hypersurfaces, Advanced Nonlinear Studies, 2024, 24(1), 141-154.
10. Jiawei Liu, On the existence of the conical Kähler-Einstein metrics on Fano manifolds, Communications in Analysis and Geometry, 2023, 31(8), 2089-2100.
9. Jiawei Liu, Xi Zhang, Stability of the conical Kähler-Ricci flows on Fano manifolds, Communications in Partial Differential Equations, 2021, 46(6), 953-1004.
8. Jiawei Liu, Xi Zhang, Cusp Kähler-Ricci flows on compact Kähler manifolds, Annali di Matematica Pura ed Applicata (1923-), 2019, 198(1), 289-306.
7. Xishen Jin, Jiawei Liu, The long-time behavior of modified Calabi flow, The Journal of Geometric Analysis, 2019, 29(1), 936-956.
6. Jiawei Liu, Chuanjing Zhang, The conical complex Monge-Ampère equations on Kähler manifolds, Calculus of Variations and Partial Differential Equations, 2018, 57(2), 44.
5. Jiawei Liu, Xi Zhang, The conical Kähler-Ricci flow with weak initial data on Fano manifolds, International Mathematics Research Notices, 2017, 2017(17), 5343-5384.
4. Jiawei Liu, Xi Zhang, Conical Kähler-Ricci flows on Fano manifolds, Advances in Mathematics, 2017, 307, 1324-1371.
3. Xishen Jin, Jiawei Liu, Xi Zhang, Twisted and conical Kähler-Ricci soliton on Fano manifolds, Journal of Functional Analysis, 2016, 271(9), 2396-2421.
2. Jiawei Liu, Yue Wang, Convergence of generalized Kähler-Ricci flow, Communications in Mathematics and Statistics, 2015, 3(2), 239-261.
1. Jiawei Liu, The generalized Kähler Ricci flow, Journal of Mathematical Analysis and Applications, 2013, 408(2), 751-761.
预印本
Jiawei Liu, Miles Simon, Non-collapsing, non-inflating and convergence results for solutions to Ricci flow with L^p bounded scalar curvature, 2024, arXiv:2410.08667, submitted.
Jiawei Liu, Xi Zhang, Limit behavior of the twisted conical Kähler-Ricci flow with change in the cone angle, 2024, arXiv:2406.04590, submitted.
Jiawei Liu, Shiyu Zhang, Xi Zhang, Regularizing property of the twisted conical Kähler-Ricci flows, 2024, arXiv:2406.08778, submitted.
Jiawei Liu, Miles Simon, Intergral curvature estimates for solutions to Ricci flow with L^p bounded scalar curvature, 2024, arXiv:2406.02351, submitted.
Jiuzhou Huang, Jiawei Liu, Ricci flow starting from embedded closed convex surface in R^3, 2021, arXiv: 2106.14779.