訾瑞昭-华中师范大学数学学院中文站

个人简介

开设课程

研究方向

流体力学中的偏微分方程（可压缩与不可压缩流体）

教育经历

2003.09-2007.06 华中师范大学 资源环境与城乡规划管理， 数学与应用数学，双学士
2007.09-2010.06 华中师范大学 应用数学，硕士，导师：朱长江
2010.09-2013.06 浙江大学 基础数学，博士，导师：方道元

工作经历

2011.10-2012.01 德国TU Darmstadt，IRTG成员，合作导师：Matthias Hieber，
2012.06-2012.07 德国TU Darmstadt，IRTG成员，合作导师：Matthias Hieber
2013.07-2014.01 华中师范大学
2014.01-2014.07 德国TU Darmstadt，IRTG成员，合作导师：Matthias Hieber

研究成果

[1] R.-Z. Zi, D.-Y. Fang and T. Zhang, Global solutions to the incompressible Oldroyd-B model in the critical Lp framework: The case of non-small coupling parameter,Arch. Rational Mech. Anal.,213 (2014), 651-687.
[2] D.-Y. Fang and R.-Z. Zi, Incompressibel limit of Oldroyd-B fluids in the whole space,J. Differential Equations,256 (2014), 2559-2602.
[3] D.-Y. Fang, M. Hieber and R.-Z. Zi, Global existence results for Oldroyd-B fluids in exterior domains: the case of non-small coupling parameters, Mathematische Annalen,357 (2013), no. 2, 687-709.
[4] S.-J. Ding, J.-R. Huang, H.-Y. Wen and R.-Z. Zi, Incompressible limit of the compressible nematic liquid crystal flow, Journal of Functional Analysis, 264 (2013), no. 7, 1711-1756.
[5] D.-Y. Fang and R.-Z. Zi, On the well-posedness of inhomogeneous hyperdissipative Navier-Stokes equations, Discrete and Continuous Dynamical Systems (DCDS-A),33 (2013), no. 8, 3517-3541.
[6] D.-Y. Fang and R.-Z. Zi, Strong solutions of 3D compressible Oldroyd-B fluids, Mathematical Methods in the Applied Sciences, 36 (2013), no.11, 1423-1439.
[7] L. Yao, C.-J. Zhu and R.-Z. Zi, Incompressible limit of viscous liquid-gas two phase flow model, SIAM Journal on Mathematical Analysis, 44 (2012), no. 5, 3324-3345.
[8] D.-Y. Fang, R.-Z. Zi and T. Zhang, Global classical large solutions to a 1D fluid-particle interaction model: The bubbling regime, Journal of Mathematical Physics, 53 (2012), 033706.
[9] D.-Y. Fang, R.-Z. Zi and T. Zhang, A blow-up criterion for two dimensional compressible viscous heat-conductive flows, Nonlinear Analysis: Theory, Methods & Applications,75 (2012), no. 6, 3130-3141.
[10] D.-Y. Fang, R.-Z. Zi and T. Zhang, Decay estimates for isentropic compressible Navier-Stokes equations in bounded domain, Journal of Mathematical Analysis and Applications, 386 (2012), no. 2, 939-947.
[11] C.-J. Zhu and R.-Z. Zi, Asymptotic behavior of solutions to 1D compressible Navier-Stokes equations with gravity and vacuum, Discrete and Continuous Dynamical Systems (DCDS-A),30 (2011), no. 4, 1263-1283.
[12] H.-Z. Xie and R.-Z. Zi, Remarks on the nonliner instability of incompressible Euler equations, Acta Mathematica Sinica. English Series, 31 (2011), no. 5, 1877-1888.
Submitted： [13] R.-Z. Zi, Global solution to the incompressible Oldroyd-B model in hybrid Besov spaces, submitted, 2014.
[14] R.-Z. Zi, Global solution in critical spaces to the compressible Oldroyd-B model with non-small coupling parameter, submitted, 2014.

研究项目

附件

訾瑞昭

English Version (英文版)