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个人简介

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

研究领域

流体力学中的偏微分方程(可压缩与不可压缩流体)

近期论文

查看导师新发文章 (温馨提示:请注意重名现象,建议点开原文通过作者单位确认)

[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.

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