人物:張曉軼
性別:女
職稱:副研究員
單位:中國科學(xué)院數(shù)學(xué)與系統(tǒng)科學(xué)研究院
研究方向:非線性偏微分方程、調(diào)和分析
主要經(jīng)歷
1998. 7 鄭州大學(xué)數(shù)學(xué)系畢業(yè),獲學(xué)士;
2003. 6 中國工程物理研究院北京研究生部畢業(yè),獲博士學(xué)位;
2003. 7-2005. 6 中科院數(shù)學(xué)所 博士后
2004. 3-2004.4香港中文大學(xué)學(xué)術(shù)訪問
2005. 5 美國UCLA學(xué)術(shù)訪問
2005. 7- 中科院應(yīng)用數(shù)學(xué)所
2005. 8 美國UCLA學(xué)術(shù)訪問
2005. 8-2005.12 美國MSRI 學(xué)術(shù)訪問
論文論著
1. 能量critical NLS with quadratic potentials. With R. Killip and M. VISAN 數(shù)學(xué)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-質(zhì)量 blowup solutions of the mass-critical NLS. With T. Tao and M. VISAN 數(shù)學(xué)AP/0609690.
4. On the blowup for the $L^2$-critical focusing nonlinear Schrodinger equation in higher dimensions below the 能量 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 數(shù)學(xué)AP/0606611
6. T. Tao, M. Visan, X. Zhang. The nonlinear Schrodinger equation with combined 功率type nonlinearities. Arxiv: math.AP/0511070
7. X. Zhang. On Cauchy problem of 3-D 能量 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 復(fù)Ginzburg-Landau方程的自相似解及極限行為,2005,25(5), 652-662. 數(shù)學(xué)物理學(xué)報(bào)(中文版,A 輯)
10. X. Zhang半線性波動(dòng)方程的自相似解,2005,48 (6)。 1145-1154, 數(shù)學(xué)學(xué)報(bào),(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 數(shù)學(xué), Vol.32, 二氧化氮, 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, N臭氧, 2003.
16. X. Zhang, G. Yang. On existence and stability of static solutions of Landau-Lifshiz Equation. pan American Mathematical Journal V13, 二氧化氮, 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.
參考資料 >