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Yuan, Hairong ( 袁海荣 ) 
Title: Professor
Department: Applied Mathematics
Office: Room 329, Stat Building
Telephone: 54342646-729
Email: hryuan@math.ecnu.edu.cn
Homepage: http://math.ecnu.edu.cn/~hryuan
Homepage2: https://faculty.ecnu.edu.cn/_s42/yhr/main.psp
Research Interest
Partial Differential Equations
Resume
Selected Publications
Recent Publications(From MathSciNet)
MR5051748 Prelim Liu, Ke; Yuan, Hairong; Radon measure-valued solutions of compressible Euler equations and concentration boundary layers in unsteady inviscid flows passing solid obstacles. J. Lond. Math. Soc. (2) 113 (2026), no. 4, Paper No. e70520, 36 pp. 76N20 (35Q31 35R60)
Publication Year 2026
MR4972016 Reviewed Gao, Junlei; Yuan, Hairong Structure stabilization of transonic shocks by mass additions for compressible Euler flows in two-dimensional straight nozzles. Math. Models Methods Appl. Sci. 35 (2025), no. 13, 2869–2976. (Reviewer: Qin Zhao) 35F60 (35L67 35M32 35Q31 76G25)
Publication Year 2025 Indexed 2025-12-10 Review Published2026-03-17
MR4949573 Reviewed Li, Qianfeng; Xiao, Ting; Yuan, Hairong Supersonic Euler flow through a two-dimensional finite straight nozzle. J. Math. Fluid Mech. 27 (2025), no. 4, Paper No. 64, 41 pp. (Reviewer: Fangyu Han) 76J20 (35L04 35L65 35Q31)
Publication Year 2025 Indexed 2025-10-15 Review Published2026-03-04
MR4904992 Reviewed Zhang, Peiyu; Qu, Aifang; Yuan, Hairong The motion and mass growth of droplets with phase transitions in a homogeneous medium. Phys. D 477 (2025), Paper No. 134683, 21 pp. 35Q31 (35L45 35L65 35R06 76T99)
Publication Year 2025 Indexed 2025-07-16 Review Published2025-07-21
MR4887787 Reviewed Qu, Aifang; Yuan, Hairong; Zhao, Renxiong Measure-valued solution for moving piston in pressureless Euler flows by the method of integration on path space. Math. Ann. 392 (2025), no. 1, 1203–1251. 35L50 (35L65 35Q31 35R06 76M35)
Publication Year 2025 Indexed 2025-05-21 Review Published2025-06-11
MR4858614 Reviewed Gao, Qihui; Qu, Aifang; Yang, Xiaozhou; Yuan, Hairong High concentration property on discontinuity in two-dimensional unsteady compressible Euler equations. J. Differential Equations 427 (2025), 194–218. (Reviewer: Zhengzheng Chen) 76N30 (35L45 35L67 35Q31 35R06)
Publication Year 2025 Indexed 2025-04-08 Review Published2025-09-03
MR4827877 Reviewed Qu, Aifang; Su, Xueying; Yuan, Hairong Infinite-thin shock layer solutions for stationary compressible conical flows and numerical results via Fourier spectral method. SIAM J. Appl. Math. 84 (2024), no. 6, 2321–2341. (Reviewer: Nikolay M. Evstigneev) 76K05 (35Q31 65H10)
Publication Year 2024 Indexed 2025-01-30 Review Published2025-08-08
MR4773814 Reviewed Li, Qianfeng; Qu, Aifang; Su, Xueying; Yuan, Hairong Hypersonic limit for steady compressible Euler flows passing straight cones. Commun. Math. Anal. Appl. 3 (2024), no. 2, 136–167. (Reviewer: Zhiwei He) 76K05 (35L50 35L65 35Q31 35R06)
Publication Year 2024 Indexed 2024-10-03 Review Published2025-12-23
MR4687372 Reviewed Zhao, Renxiong; Qu, Aifang; Yuan, Hairong Probability measures on path space for rectilinear damped pressureless Euler-Poisson equations. J. Differential Equations 387 (2024), 152–199. 35Q31 (28C20 35L65 35L67 35R06 76M35 76N10)
Publication Year 2024 Indexed 2024-03-02 Review Published2024-07-31
MR4671664 Reviewed Sun, Yinzheng; Qu, Aifang; Yuan, Hairong The Riemann problem for isentropic compressible Euler equations with discontinuous flux. Acta Math. Sci. Ser. B (Engl. Ed.) 44 (2024), no. 1, 37–77. 35Q31 (35L65 35L67 35R35 76N30)
Publication Year 2024 Indexed 2024-01-19 Review Published2024-02-20
MR4661223 Reviewed Qu, Aifang; Yuan, Hairong Steady compressible Euler equations of concentration layers for hypersonic-limit flows passing three-dimensional bodies and generalized Newton-Busemann pressure law. Chinese Ann. Math. Ser. B 44 (2023), no. 4, 561–576. (Reviewer: Hermano Frid) 35L65 (35B07 35L50 35L67 35Q30 76J20 76N10)
Publication Year 2023 Indexed 2023-12-06 Review Published2024-05-06
MR4614651 Reviewed Jin, Yunjuan; Qu, Aifang; Yuan, Hairong Radon measure solutions to Riemann problems for isentropic compressible Euler equations of polytropic gases. Commun. Appl. Math. Comput. 5 (2023), no. 3, 1097–1129. (Reviewer: Matthew R. I. Schrecker) 35L65 (35L67 35Q31 35R06 35R35 76N30)
Publication Year 2023 Indexed 2023-09-07 Review Published2024-02-22
MR4445671 Reviewed Gao, Junlei; Yuan, Hairong Stability of stationary subsonic compressible Euler flows with mass-additions in two-dimensional straight ducts. J. Differential Equations 334 (2022), 87–156. (Reviewer: Ashok Aryal) 35F60 (35M32 76G25 76N10)
Publication Year 2022 Indexed 2022-09-15 Review Published2023-02-07
MR4436135 Reviewed Jin, Yunjuan; Qu, Aifang; Yuan, Hairong On two-dimensional steady hypersonic-limit Euler flows passing ramps and Radon measure solutions of compressible Euler equations. Commun. Math. Sci. 20 (2022), no. 5, 1331–1361. (Reviewer: Matthew R. I. Schrecker) 35Q31 (35L65 76K05)
Publication Year 2022 Indexed 2022-08-19 Review Published2022-09-23
MR4418420 Reviewed Gao, Le; Qu, Aifang; Yuan, Hairong Delta shock as free piston in pressureless Euler flows. Z. Angew. Math. Phys. 73 (2022), no. 3, Paper No. 114, 14 pp. (Reviewer: Olga S. Rozanova) 76N30 (35L04 35Q70 35R06 35R37)
Publication Year 2022 Indexed 2022-07-15 Review Published2022-08-16
MR4312128 Reviewed Jin, Yunjuan; Qu, Aifang; Yuan, Hairong Radon measure solutions for steady compressible hypersonic-limit Euler flows passing cylindrically symmetric conical bodies. Commun. Pure Appl. Anal. 20 (2021), no. 7-8, 2665–2685. 35L65 (35Q31 35R35 76K05)
Publication Year 2021 Indexed 2021-10-29 Review Published2021-12-10
MR4278936 Reviewed 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. Commun. Math. Sci. 19 (2021), no. 4, 875–901. 35L65 (35L67)
Publication Year 2021 Indexed 2021-09-20 Review Published2022-06-01
MR4182971 Reviewed 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, Paper No. 124761, 14 pp. 35B35 (76J20 76Nxx)
Publication Year 2021 Indexed 2021-01-27 Review Published2021-02-18
MR4168213 Reviewed 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. 35L65 (35F60 35J56 35M32 76H05 76L05 76N10)
Publication Year 2020 Indexed 2020-12-15 Review Published2021-02-04
MR4102927 Reviewed Qu, Aifang; Yuan, Hairong; Zhao, Qin Hypersonic limit of two-dimensional steady compressible Euler flows passing a straight wedge. ZAMM Z. Angew. Math. Mech. 100 (2020), no. 3, e201800225, 14 pp. (Reviewer: Olga S. Rozanova) 76N10 (76K05 76N15)
Publication Year 2020 Indexed 2021-02-27 Review Published2021-06-18

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