在岗教师

  • 欧耀彬

    教授、博士、博士生导师

    主要研究方向:流体力学中的偏微分方程理论,包括解的适定性问题,渐近极限问题等。最近的研究兴趣为流体自由边值问题,低马赫数极限及相关的奇异极限问题。

    办公室:数学楼220 82507081&ou@ruc.edu.cn
  • 教育经历

    2004.8-2008.7 香港中文大学数学科学研究所,博士
    2001.9-2004.6 中山大学数学与计算科学学院,硕士
    1997.9-2001.6 中山大学数学与计算科学学院,本科

  • 工作经历

    2018.6-至今 中国人民大学数学学院
    2013.2- 2018.6中国人民大学信息学院
    2010.9-2011.9 西班牙巴斯克应用数学中心,博士后
    2010.7-2013.1 电子科技大学数学科学学院
    2008.9-2010.7 北京应用物理与计算数学研究所,博士后


  • 科研成果

    主持国家自然科学基金项目多项,教育部“新世纪优秀人才支持计划”项目一项,中国博士后基金特别资助项目一项、中国博士后基金面上项目一项;参与国家自然科学基金重点项目一项、国家自然科学基金国际合作交流项目一项。在J. Math, Pure. Appl.,SIAM J. Math. Anal.,ANIHP. - Anal. non lineaire, J. Differential Equations, Z. Angew. Math. Phys.等著名国际期刊发表学术论文30多篇。
    论文代表作:

    ☆ Min Liang, Yaobin Ou*, The low Mach number limit of non-isentropic magnetohydrodynamic equations with large temperature variations in bounded domains. Sci. China Math., 67 (2024), 787–818. 

    ☆ Xiaoyu Gu, Yaobin Ou*, On the incompressible and non-resistive limit of 3D compressible magnetohydrodynamic equations in bounded domains. Nonlinear Anal. Real World Appl. , 77 (2024), 104047, 23 pp.

    ☆ Xianpeng Hu, Yaobin Ou, Dehua Wang, Lu Yang, Incompressible limit for compressible viscoelastic flows with large velocity. Adv. Nonlinear Anal., 12 (2023), 20220324, 20 pp.

    ☆ Qiangchang Ju, Yaobin Ou*, Low Mach number limit of Navier-Stokes equations with large temperature variations in bounded domains. J. Math. Pures Appl.164 (2022), 131–157.

    ☆ Yaobin Ou, Lu Yang, Incompressible limit of isentropic Navier-Stokes equations with ill-prepared data in bounded domains. SIAM J. Math. Anal. 54 (2022), 2948–2989.

    ☆ Kunquan Li, Zilai Li, Yaobin Ou*, Global axisymmetric classical solutions of full compressible magnetohydrodynamic equations with vacuum free boundary and large initial data. Sci. China Math.65 (2022), 471–500.

    ☆ Yaobin Ou, On globally large smooth solutions of full compressible Navier-Stokes equations with moving boundary and temperature-dependent heat-conductivity, Nonlinear Anal. Real World Appl., 64 (2022), 103430, 32 pp.

     Yaobin Ou, Low Mach and low Froude number limit for vacuum free boundary problem of all-time classical solutions of one-dimensional compressible Navier-Stokes equations. SIAM J. Math. Anal., 53 (2021), 3265–3305. 

     Yaobin Ou, Lu Yang, Incompressible limit of non-isentropic compressible magnetohydrodynamic equations with zero magnetic diffusivity in bounded domains. Nonlinear Anal. Real World Appl., 49 (2019), 1–23.

     Yaobin Ou, Pan Shi, Peter Wittwer, Large time behaviors of strong solutions to magnetohydrodynamic equations with free boundary and degenerate viscosity. J. Math. Phys. 59 (2018), 081510, 34 pp.

     Yaobin Ou, Global classical solutions to the 1-D vacuum free boundary problem for full compressible Navier-Stokes equations with large data. J. Math. Phys., 58 (2017), 011502, 21 pp.

     Dandan Ren, Yaobin Ou*, Incompressible limit of all-time solutions to 3-D full Navier-Stokes equations for perfect gas with well-prepared initial condition. Z. Angew. Math. Phys. 67 (2016), Art. 103, 27 pp

     Dandan Ren, Yaobin Ou, Incompressible limit and stability of all-time solutions to 3-D full Navier-Stokes equations for perfect gases. Sci. China Math., 59 (2016), 1395–1416. 

     Changsheng Dou, Song Jiang, Yaobin Ou*, Low Mach number limit of full Navier-Stokes equations in a 3D bounded domain, Journal of Differential Equations, 258 (2015), 379–398.

     Yaobin Ou, Huihui Zeng, Global strong solutions to the vacuum free boundary problem for compressible Navier–Stokes equations with degenerate viscosity and gravity force. Journal of Differential Equations, 259 (2015), 6803–6829.

     Yaobin Ou, Peicheng Zhu. The Vanishing viscosity method for the sensitivity analysis of an optimal control problem of conservation laws in the presence of shocks, Nonlinear Analysis: Real World Applications, 14 (2013), 1947-1974.

     Song Jiang and Yaobin Ou. Incompressible limit of the non-isentropic Navier–Stokes equations with well-prepared initial data in three-dimensional bounded domains, Journal de Mathématiques Pures et Appliquées, 96 (2011), 1-28.

     Yaobin Ou. Low Mach limit of viscous polytropic fluid flows, Journal of Differential Equations, 251 (2011), 2037-2065.

     J. Fan, S. Jiang, Y. Ou*, A blow-up criterion for compressible viscous heat-conductive flows, ANIHP. - Anal. non lineaire, 27 (2010), 337-350.

     Yaobin Ou. Incompressible limits of the Navier-Stokes equations for all time. J. Differential Equations, 247 (2009), 3295-3314.

  • 荣誉获奖

  中国人民大学吴玉章青年学者(2023)

             北京市普通高校优秀毕业设计(论文)优秀指导教师(2020)
             中国人民大学优秀本科毕业论文(设计)优秀指导教师(2020)
             中国人民大学杰出学者青年学者A岗(2017)
             教育部“新世纪优秀人才支持计划”(2012)
             电子科技大学“百人计划”(2011)

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