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yuyjiang@sjtu.edu.cn

1998.09--2005.07 Master and Ph.D( Mathematics) Xi'an Jiaotong University

2005--Present Department of Mathematics, Shanghai Jiaotong University

非线性偏微分方程

Thesday 9:00--11:00

2010.09-2011.01 数学物理方程，常微分方程，复变函数与积分变换

2010.02-2010.07 数理方法，工程数学

2009.09-2010.01 数学物理方程，大学医科数学

2009.02-2009.07 数理方法，工程数学

2008.09-2009.01 高等数学， 矩阵理论(研究生)， 数学物理方程

2008.02-2008.07 高等数学， 矩阵理论(研究生)

2007.09-2008.01 高等数学

2007.02-2007.07 矩阵理论(研究生)，常微分方程与偏微分方程(研究生)

2006.09-2007.01 矩阵理论(研究生)，矩阵理论(研究生)

2006.02-2006.07 矩阵理论(研究生)

2005.09-2006.01 矩阵理论(研究生)，矩阵理论(研究生)，数学物理方程(研究生)

Nonlinear Partial Differential Equations. In particular, NS, MHD equations, my recent research interest is the regularity of solutions for Viscous Camassa-Holm(VCH) equations. I improve the known regularity results for two and four dimensional VCH equations, and prove the existence of solutions for 5D VCH equations. 

1. Yu Yongjiang, Li Kaitai. Gevrey class regularity for the Viscous Camassa-Holm equations.

Applied Mathematics Letters, 2005, 18:713-715.

2. Yu Yongjiang, Li Kaitai. Existence of solutions and Gevrey class regularity for Leray-alpha equations.

Journal of Mathematical analysis and applications, 2005, 306:227-242.

3. Yu Yongjiang, Li Kaitai. Gevrey class regularity and the exponential decay property for Navier-Stokes-alpha equations.

Acta Mathematicae Applicatae Sinica, English Series, 2007, 23(1): 49-58.

4. Yu Yongjiang, Li Kaitai. Existence of solutions for the MHD-Leray-alpha equations and their relations to the MHD equations.
Journal of Mathematical analysis and applications, 2007, 329:298-326. 

5 Yu Yongjiang,Li Kaitai. Time Analyticity Radius for Solution of Magnetohydrodynamics Equations.

MATHEMATICA APPLICATA, 2005, 18(1):161-166. (CHINA)

6 Yu Yongjiang, Li Kaitai. Time analyticity and periodic solutions for magnetohydrodynamics equations.

Appl. Math. J. Chinese Univ. Ser. A, 2005, 20( 4): 465-474.(CHINA)

7 Yu Yongjiang, Li Kaitai. Asymptotic analysis for MHD equations on thin domains.

Acta Mathematica Scientia Ser. A, 2007, 27A(4):594-610.(CHINA)

国家自然科学基金数学天元基金, “两层薄区域上磁流体方程的正则性”, 主持人, 2008.01-2008.12, 已结题.

数学人满天下系友基金, 2007.01-2007.12 , 已结题.