张晓轶

更新时间:2023-03-04 10:08

张晓轶,女,中国科学院数学与系统科学研究院副研究员。获得了2010年美国斯隆研究奖

主要经历

1998. 7 郑州大学数学系毕业,获学士学位;

2003. 6 中国工程物理研究院北京研究生部毕业,获博士学位;

2003. 7-2005. 6 中科院数学所 博士后

2004. 3-2004.4 香港中文大学学术访问

2005. 5 美国UCLA学术访问

2005. 7- 中科院应用数学所

2005. 8 美国UCLA学术访问

2005. 8-2005.12 美国MSRI 学术访问

研究方向:非线性偏微分方程、调和分析

论文论著

1. Energy-critical NLS with quadratic potentials. With R. Killip and M. Visan. math.AP/0611394.

2. Global well-posedness and scattering for the mass-critical nonlinear Schrodinger equation for radial data in high dimensions. With T. Tao and M.Visan. math.AP/0609692.

3. Minimal-mass blowup solutions of the mass-critical NLS. With T. Tao and M. Visan. math.AP/0609690.

4. On the blowup for the ^2$-critical focusing nonlinear Schrodinger equation in higher dimensions below the energy class. To appear SIAM. J. Math. Anal. With M. Visan. math.AP/0606737.

5. Global well-posedness and scattering for a class of nonlinear Schrodinger equations below the energy space. With M. Visan. math.AP/0606611

6. T. Tao, M. Visan, X. Zhang. The nonlinear Schrodinger equation with combined power-type nonlinearities. Arxiv: math.AP/0511070

7. X. Zhang. On Cauchy problem of 3-D energy critical nonlinear Schrodinger equation with subcritical perturbations. Submitted.

8. X. Zhang. Global Wellposedness and Scattering for 3-D energy critical nonlinear Schrodinger equation with harmonic potential and radial data. To appear on Forum Mathematicum.

9. X. Zhang 复Ginzburg-Landau方程的自相似解及极限行为,2005,25(5), 652-662. 数学物理学报(中文版,A 辑)

10. X. Zhang半线性波动方程的自相似解,2005,48 (6)。 1145-1154, 数学学报,(中文版)。

11. X. Zhang. The global existence of one type of nonlinear Kirchhoff string equation Mathematicae Applicatae Sinica, English Series, Vol.19, No3, (2003)

12. X. Zhang. The global existence of one type of nonlinear Kirchhoff string equation, Acta A remark on the self-similar solution of semi-linear Schrodinger equation, Advances in Mathematics, Vol.32, No.2, 2003

13. X. Zhang. The self-similar solutions for Ginzberg-Landau equations and its limit behavior in Besov spaces. J. Partial Diff. Eqs, V16, 2003.

14. X. Zhang. The global wellposedness of the Smoluchowski equation for rotational motion of rodlike polymers. J. Systems Science and Complexity, 2003.

15. X. Zhang, G. Yang. On existence and stability of static solutions of two types of Landau-Lifshitz equation. Nonlinear Funct. Anal & Appl., Vol8, No3, 2003.

16. X. Zhang, G. Yang. On existence and stability of static solutions of Landau-Lifshiz Equation. Pan American Mathematical Journal V13, No2, 2003.

17. C. Miao, B. Zhang, X. Zhang Self-similar solutions for Nonlinear Schrodinger equations. Methods and Applications of Analysis. Vol.10, No 1,2003.

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