一、个人简介

于洋海，数学与统计学院副教授，硕士生导师。2018年博士毕业于华中科技大学，主要研究方向为流体力学中的偏微分方程，已在SIAM J. Math. Anal, Appl. Math. Optim, J. Geom. Anal, J. Differential Equations等学术期刊发表/录用论文70余篇，担任美国数学会《Mathematical Reviews(数学评论)》评论员以及J. Math. Fluid Mech, J. Math. Anal. Appl, Z. Angew. Math. Phys, Nonlinear Anal. Real World Appl, Rocky Mountain J. Math , Results in Mathematic, Appl. Anal等10余种SCI期刊审稿人。

Email: yuyanghai214@sina.com

二、工作经历

2022.12- 安徽师范大学，数学与统计学院，副教授

2018.07-2022.12 安徽师范大学，数学与统计学院，讲师

三、讲授课程

本科生：数学分析，偏微分方程, 高等数学

研究生：偏微分方程I

四、科研项目

主持国家自然科学基金青年基金:不可压缩Boussinesq方程和Euler方程的若干问题研究（结题）

主持安徽省自然科学基金青年基金:几类流体力学方程组的解的性态研究（结题）

五、学术论文

[1] J. Li, Y. Yu*, W. Zhu, Ill-posedness issue on the Oldroyd-B model in the critical Besov spaces, Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, (2026)

[2] J. Li, Y. Yu*, W. Zhu, Global existence and blow-up for the Euler-Poincar\'{e} equations with a class of initial data, Journal of Mathematical Fluid Mechanics, (2026)

[3] J. Li, Y. Yu*, N. Zhu, On the continuous properties for the 3D incompressible rotating Euler equations, Bulletin des Sciences Math\'{e}matiques, (2026)

[4] J. Li, Y. Yu*, W. Zhu, Nonexistence of H\"{o}lder continuous solution for the Camassa-Holm equation in Besov spaces, Applied Mathematics Letters, (2026)

[5] J. Li, Y. Yu*, W. Zhu, Ill-posedness for the periodic Camassa–Holm type equations in critical Besov spaces, Annali di Matematica Pura ed Applicata, (2026)

[6] J. Li, Y. Yu*, W. Zhu, Non-uniform dependence for the two-component Camassa-Holm shallow water system, Journal of Mathematical Analysis and Applications, (2026)

[7] J. Li, Y. Yu*, W. Zhu, Ill-posedness for the stationary Navier-Stokes equations in critical Besov spaces., SIAM Journal on Mathematical Analysis, (2025)

[8] Y. Yu*, J. Li, Non-convergence of the Navier-Stokes Equations Toward the Euler Equations in the Endpoint Besov Spaces, Applied Mathematics and Optimization, (2025)

[9] J. Li, Y. Yu*, W. Zhu, Global small solution and optimal decay rate for the Korteweg system in Besov spaces, Zeitschrift für angewandte Mathematik und Physik, (2025)

[10] J. Li, Y. Yu*, W. Zhu, Anomalous dissipation for the d-dimensional Navier-Stokes equations, Comptes Rendus Math\'{e}matique. Acad\'{e}mie des Sciences. Paris, (2025)

[11] Y. Yu*, W. Tang, J. Li, Non-uniform dependence for the two-dimensional viscous shallow water equations with low regularity initial data, Journal of Mathematical Physics, (2025)

[12] Y. Yu, J. Li, On the ill-posedness for the Navier-Stokes equations in the weakest Besov spaces, Applied Mathematics and Optimization, (2024)

[13] J. Li, Y. Yu*, W. Zhu, Non-uniform dependence on initial data for the Euler equations in Besov spaces. Journal of Differential Equations, (2024)

[14] J. Li, Y. Yu*, W. Zhu, Ill-posedness of the Novikov equation in the critical Besov space $B_{\infty,1}^1(\R)$, Journal of Mathematical Fluid Mechanics, (2024)

[15] J. Li, Y. Yu*, W. Zhu, Non-uniform dependence on initial data for the Camassa-Holm equation in Besov spaces: Revisited, Journal of Differential Equations, (2024)

[16] J. Li, Y. Yu*, W. Zhu, Non-uniform convergence of solution for the Camassa-Holm equation in the zero-filter limit, Monatshefte für Mathematik,(2024)

[17] J. Li, Y. Yu*, W. Zhu, Ill-posedness for the Euler equations in Besov spaces, Nonlinear Analysis: Real World Applications, (2023)

[18] J. Li, X. Wu, Y. Yu*, W. Zhu, Norm inflation and ill-posedness for the Fornberg-Whitham equation, Journal of Differential Equations, (2023)

[19] J. Li, Y. Yu*, W. Zhu, Zero-filter limit for the Camassa-Holm equation in Sobolev spaces. Applied Mathematics Letters, (2023)

[20] X. Fei, Y. Yu, Mi. Fei*, Ill-posedness of the hyperbolic Keller-Segel model in Besov spaces, Zeitschrift für angewandte Mathematik und Physik, (2023)

[21] Y. Yu*, W. Tang, Nowhere-uniform continuity of the data-to-solution map for the two-component Fornberg-Whitham, Journal of Mathematical Fluid Mechanics, (2023)

[22] J. Li, Y. Yu*, W. Zhu, Ill-posedness issue on a multidimensional chemotaxis equations in the critical Besov spaces. Journal of Geometric Analysis, (2023)

[23] Y. Yu*, J. Li, Non-uniform dependence of the data-to-solution map for the two-component Fornberg-Whitham system. Annali di Matematica Pura ed Applicata, (2023)

[24] J. Li, Y. Yu*, W. Zhu, Ill-posedness for the Camassa-Holm and related equations in Besov spaces. Journal of Differential Equations, (2022)

[25] J. Li, Y. Yu*, W. Zhu, Sharp ill-posedness for the generalized Camassa-Holm equation in Besov spaces. Journal of Evolution Equations, (2022)

[26] J. Li, Y. Yu*, W. Zhu, Z. Yin, Global large solutions to the compressible Navier-Stokes Equations in critical Besov space, Journal of Mathematical Fluid Mechanics, (2022)

[27] Y. Yu*, X. Yang, Non-uniform dependence on initial data for the 2D MHD-Boussinesq equations. Journal of Mathematical Physics, (2021)

[28] J. Li, X. Wu, Y. Yu*, W. Zhu, Non-uniform dependence on initial data for the Camassa-Holm equation in the critical Besov space. Journal of Mathematical Fluid Mechanics, (2021)

[29] J. Li, Y. Yu*, W. Zhu, Non-uniform dependence on initial data for the Camassa-Holm equation in Besov spaces. Journal of Differential Equations, (2020)

[30] J. Li, Y. Yu*, W. Zhu, A class large solution of the 3D Hall magnetohydrodynamic equations, Journal of Differential Equations, (2020)

六、指导硕士研究生

1. 唐卫杰（2021级）

Y. Yu*, W. Tang, Nowhere-uniform continuity of the data-to-solution map for the two-component Fornberg-Whitham, Journal of Mathematical Fluid Mechanics, (2023)

Y. Yu*, W. Tang, J. Li, Non-uniform dependence for the two-dimensional viscous shallow water equations with low regularity initial data, Journal of Mathematical Physics, (2025)

2. 王慧（2021级）

Y. Yu*, H. Wang, Ill-posedness for the gCH-mCH equation in Besov spaces, Monatshefte f\"{u}r Mathematik, (2025)

Y. Yu*, H. Wang, J. Li, X. Yang, Global solutions to the 3D compressible Navier-Stokes equations with a class of special initial data, Journal of Mathematical Physics, (2023)

3. 刘芳（2023级）

Y. Yu*, F. Liu, A remark on the vanishing diffusivity limit of the Keller-Segel equations in Besov spaces, Discrete and Continuous Dynamical Systems-B, (2025)

Y. Yu*, F. Liu, Ill-posedness for the Navier--Stokes and Euler equations in Besov spaces, Applications of Mathematics, (2024)

4. 丁言策（2024级）

Y. Ding, Y. Yu*, Well-posedness and nonuniform dependence for the Keller-Segel equations in $B_{\infty,1}^1$, Mathematical Methods in the Applied Sciences, (2026)

5. 杨子健（2024级）

Z. Yang, Y. Yu*, Non-uniform dependence on initial data for the Camassa-Holm equation in $B_{\infty,r}^s$, Monatshefte f\"{u}r Mathematik, (2025)