袁海荣 - 华东师范大学 - 数学科学学院

个人简介

教育经历 2001年9月——2006年6月复旦大学数学科学学院，研究生。获理学博士学位。导师：陈恕行教授（中国科学院院士） 1998年9月——2001年6月复旦大学数学系，本科生。获理学学士学位工作经历 2015年1月——至今华东师范大学数学系，教授 2019年8月——2020年1月中国石油大学（北京）克拉玛依校区，文理学院，教授（援建） 2009年1月——2014年12月华东师范大学数学系，副教授（2014年6月获得博士研究生指导教师资格） 2008年7月——2008年12月华东师范大学数学系，讲师 2006年7月——2008年 6 月华东师范大学数学系，博士后（合作导师：潘兴斌教授）学术访问经历 2019年2月2日——2019年2月17日香港城市大学 2014年7月12日——2014年8月11日中国科学院武汉物理与数学研究所 2014年1月13日——2014年2月13日英国，剑桥大学，艾萨柯-牛顿数学研究所（由对方资助） 2013年1月14日——2013年1月20日韩国，浦项工科大学（POSTECH）数学系（由对方全额资助） 2011年3月1日——2012年2月29日英国，牛津大学，数学研究所 (由国家留学基金管理委员会全额资助) 2010年9月1日——10月31日香港中文大学, 数学科学研究所 (两个月，由对方全额资助) 2009年7月美国，数学及其应用研究所，明尼苏达大学（双城校区），参加其暑期项目“非线性守恒律及应用”（7月13—31日，由对方全额资助） 2009年1月韩国，浦项工科大学（POSTECH）数学系（一周，由对方全额资助） 2008年3月美国，西北大学（一个月，由中美合作项目资助） 2008年1月韩国，浦项工科大学（POSTECH）数学系（一周，由对方全额资助）

研究领域

激波及双曲守恒律方程双曲型、椭圆型和双曲—椭圆复合型混合型偏微分方程（组）及其自由边界问题可压缩欧拉方程组与跨音激波、高超音流等气体动力学现象的数学理论弯曲空间中的流体力学问题双曲守恒律方程的测度解理论

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）

Qu, Aifang; Wang, Li; Yuan, Hairong: Radon measure solutions for steady hypersonic-limit Euler flows passing two-dimensional finite non-symmetric obstacles and interactions of free concentration layers. Comm. Math. Sci. accepted, 2020. Wei, Fenglun; Liu, Jianli; Yuan, Hairong: Global stability to steady supersonic solutions of the 1-D compressible Euler equations with frictions. J. Math. Anal. Appl. 495 (2021), no. 2, 124761. Gao Junlei, Liu Li, Yuan Hairong: On stability of transonic shocks for stationary Rayleigh flows in two-dimensional ducts. SIAM J. Math. Anal. 52 (2020), no. 5, 5287–5337. Yuan H R, Zhao Q. Subsonic flow passing a duct for three-dimensional steady compressible Euler system with friction (in Chinese). To appear in Sci Sin Math, 2021, 51: 1–23. doi: 10.1360/N012019-00103 Aifang Qu, Hairong Yuan, and Qin. Zhao. Hypersonic limit of two-dimensional steady compressible Euler flows passing a straight wedge. ZAMM Z. Angew. Math. Mech.. 100 (2020), no.3: e201800225. https://doi.org/10.1002/zamm.201800225. Yuan, Hairong; Zhao, Qin. Stabilization Effect of Frictions for Transonic Shocks in Steady Compressible Euler Flows Passing Three-Dimensional Ducts. Acta Math. Sci. Ser. B (Engl. Ed.) 40 (2020), no. 2, 470–502. Qu, Aifang; Yuan, Hairong Radon measure solutions for steady compressible Euler equations of hypersonic-limit conical flows and Newton's sine-squared law. J. Differential Equations 269 (2020), no. 1, 495–522. Qu, Aifang; Yuan, Hairong; Zhao, Qin High Mach number limit of one-dimensional piston problem for non-isentropic compressible Euler equations: polytropic gas. J. Math. Phys. 61 (2020), no. 1, 011507, 14 pp. Qu, Aifang; Yuan, Hairong Measure solutions of one-dimensional piston problem for compressible Euler equations of Chaplygin gas. J. Math. Anal. Appl. 481 (2020), no. 1, 123486, 10 pp. Yuan, Hairong. Time-periodic isentropic supersonic Euler flows in one-dimensional ducts driving by periodic boundary conditions. Acta Math. Scientia. 39B (2019), no.2, 403-412. Xu, Gang; Yuan, Hairong. Global uniqueness of steady subsonic Euler flows in three-dimensional ducts. Appl. Anal. 97 (2018), no. 16, 2818–2829. Ding, Min; Yuan, Hairong Stability of transonic jets with strong rarefaction waves for two-dimensional steady compressible Euler system. Discrete Contin. Dyn. Syst. 38 (2018), no. 6, 2911–2943. Liu, Li; Xu, Gang; Yuan, Hairong. Stability of spherically symmetric subsonic flows and transonic shocks under multidimensional perturbations. Adv. Math. 291 (2016), 696–757. Xu, Meng; Liu, Li; Yuan, Hairong. On Tricomi problem of Chaplygin's hodograph equation. Abstr. Appl. Anal. 2015, Art. ID 754781, 11 pp. Kukreja, Vaibhav; Yuan, Hairong; Zhao, Qiuju. Stability of transonic jet with strong shock in two-dimensional steady compressible Euler flows. J. Differential Equations 258 (2015), no. 7, 2572–2617. Liu, Li; Xu, Meng; Yuan, Hairong. A mixed boundary value problem for Chaplygin’s hodograph equation. Journal of Mathematical Analysis and Applications, 423(2015), no. 1, 60–75. (DOI:10.1016/j.jmaa.2014.09.075) Wang, Ya-Guang; Yuan, Hairong. Weak Stability of Transonic Contact Discontinuities in Three-Dimensional Steady Non-isentropic Compressible Euler Flows Z. Angew. Math. Phys. 66(2015), no. 2, 341–388. (DOI: 10.1007/s00033-014-0404-y) Liu, Li; Yuan, Hairong Steady subsonic potential flows through infinite multi-dimensional largely-open nozzles. Calculus of Variations and Partial Differential Equations. 49 (2014), no.1-2, 1–36. Chen, Gui-Qiang; Kukreja, Vaibhav; Yuan, Hairong Well-posedness of transonic characteristic discontinuities in two-dimensional steady compressible Euler flows. Z. Angew. Math. Phys. 64 (2013), no. 6, 1711–1727. Chen, Gui-Qiang G.; Yuan, Hairong Local uniqueness of steady spherical transonic shock-fronts for the three-dimensional full Euler equations. Commun. Pure Appl. Anal. 12 (2013), no. 6, 2515–2542. Chen, Gui-Qiang; Kukreja, Vaibhav; Yuan, Hairong Stability of transonic characteristic discontinuities in two-dimensional steady compressible Euler flows. J. Math. Phys. 54 (2013), no. 2, 021506, 24 pp. Fang, Beixiang; Liu, Li; Yuan, Hairong Global uniqueness of transonic shocks in two-dimensional steady compressible Euler flows. Arch. Ration. Mech. Anal. 207 (2013), no. 1, 317–345. Yuan, Hairong Persistence of shocks in ducts. Nonlinear Anal. 75 (2012), no. 9, 3874–3894. Fang, Beixiang; Wang, Ya-Guang; Yuan, Hairong Reflection and refraction of shocks on an interface with a reflected rarefaction wave. J. Math. Phys. 52 (2011), no. 7, 073702, 14 pp. Liu, Li; Yuan, Hairong Uniqueness of symmetric steady subsonic flows in infinitely long divergent nozzles. Z. Angew. Math. Phys. 62 (2011), no. 4, 641–647. Liu, Pan; Yuan, Hairong Uniqueness and instability of subsonic-sonic potential flow in a convergent approximate nozzle. Proc. Amer. Math. Soc. 138 (2010), no. 5, 1793–1801. Liu, Li; Yuan, Hairong Global uniqueness of transonic shocks in divergent nozzles for steady potential flows. SIAM J. Math. Anal. 41 (2009), no. 5, 1816–1824. Chen, Gui-Qiang; Yuan, Hairong Uniqueness of transonic shock solutions in a duct for steady potential flow. J. Differential Equations 247 (2009), no. 2, 564–573. Yuan, Hairong; He, Yue Transonic potential flows in a convergent-divergent approximate nozzle. J. Math. Anal. Appl. 353 (2009), no. 2, 614–626. Liu, Li; Yuan, Hairong Stability of cylindrical transonic shocks for the two-dimensional steady compressible Euler system. J. Hyperbolic Differ. Equ. 5 (2008), no. 2, 347–379. Yuan, Hairong Examples of steady subsonic flows in a convergent-divergent approximate nozzle. J. Differential Equations 244 (2008), no. 7, 1675–1691. Yuan, Hairong A remark on determination of transonic shocks in divergent nozzles for steady compressible Euler flows. Nonlinear Anal. Real World Appl. 9 (2008), no. 2, 316–325. Chen, Shuxing; Yuan, Hairong Transonic shocks in compressible flow passing a duct for three-dimensional Euler systems. Arch. Ration. Mech. Anal. 187 (2008), no. 3, 523–556. Yuan, Hairong Transonic shocks for steady Euler flows with cylindrical symmetry. Nonlinear Anal. 66 (2007), no. 8, 1853–1878. Yuan, Hairong On transonic shocks in two-dimensional variable-area ducts for steady Euler system. SIAM J. Math. Anal. 38 (2006), no. 4, 1343–1370 (electronic). Yuan, Hai Rong A note on a mixed boundary value problem for the Laplace equation. (Chinese) Acta Math. Sinica (Chin. Ser.) 46 (2003), no. 6, 1091–1096.