Education Experiences:
2004-2008 Chinese University of Hong Kong, Ph.D.
2001-2004 Sun Yat-Sen University, Master
1997-2001 Sun Yat-Sen University, Bachelor
Working Experiences:
Professor, Renmin University of China, 2019.8-
Associate Professor, Renmin University of China, 2013.2-2019.7
Professor, University of Electronic Science and Technology of China, 2011.11-2013.1
Postdoc, Basque Center for Applied Mathematics, Spain, 2010.9-2011.9
Associate Professor, University of Electronic Science and Technology of China, 2010.7-2011.11
Postdoc, Institute of Applied Physics and Computational Mathematics, Beijing, 2008.9-2010.6
Research Areas:
Partial Differential Equations from fluid mechanics
Courses:
Mathematics Analysis, Ordinary Differential Equations, Partial Differential Equations
Papers (selected):
[1] 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.
[2] 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.
[3] 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.
[4] 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.
[5] 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.
[6] 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.
[7] 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.
[8] 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.
[9] 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.
[10] 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.
[11] 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.
[12] 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
[13] 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.
[14] 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.
[15] 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.
[16] 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.
[17] 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.
[18] Yaobin Ou. Low Mach limit of viscous polytropic fluid flows, Journal of Differential Equations , 251 (2011), 2037-2065.
[19] J. Fan, S. Jiang, Y. Ou*, A blow-up criterion for compressible viscous heat-conductive flows, ANIHP. - Anal. non lineaire , 27 (2010), 337-350.
[20] Yaobin Ou. Incompressible limits of the Navier-Stokes equations for all time. J. Differential Equations , 247 (2009), 3295-3314.
[21] Yaobin Ou. Low Mach number limit for the non-isentropic Navier-Stokes equations, J. Differential Equations , 246 (2009), 4441-4465.
Awards:
RUC Wu Yuzhang Young Scholar (2023)
Program for New Century Excellent Talents in Universities (2012)
