非线性偏微分方程、生物数学

1.近年来主持或参与的代表性科研项目：

[1] 国家自然科学基金面上项目: 具有信号产生机制的趋化-流体模型研究，主持.

[2] 国家自然科学基金青年基金项目: 带旋转流的趋化-流体模型研究，主持.

[3] 中央引导地方科技发展专项项目: 流体中的趋化模型研究，主持.

[4]  四川省应用基础研究项目: 具有矩阵值灵敏度的趋化-流体方程组的理论研究及其应用，主持.

[5] 四川省青年科技创新团队项目：不可压缩与可压缩流体力学中的自由边界问题, 主研.

[6] 四川省教育厅重点科研项目：非牛顿渗流方程解的性质研究，主持.

[7] 四川省教育厅青年基金项目：渗流偏微分方程的Liouville型定理及其应用，主持.

2.近年来发表的代表性学术论文：

[1]Yulan Wang, Michael Winkler, An interpolation inequality involving spaces and application to the characterization of blow-up behavior in a two-dimensional Keller-Segel-Navier-Stokes system, J.Lond. Math. Soc, 2(2024): 109:e12885.

[2]  Yulan Wang,Michael Winkler,Finite-time blow-up in a repulsive chemotaxis-consumption system,Proc.Roy.Soc.Edinburgh Sect. A, 153(2023): 1150-1166.

[3]  Mengqi Liu, Yulan Wang,Finite-time blow-up in the Cauchy problem of a Keller-Segel system with logistic source,Discrete Contin. Dyn. Syst. Ser. B, 28(2023): 5396-5417.

[4]  Yulan Wang,Michael Winkler, Zhaoyin Xiang, Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal, Analysis and Applications, 20(2022): 141-170.

[5]  Yulan Wang,Michael Winkler, Zhaoyin Xiang, Local energy estimates and global solvability in a three-dimensional chemotaxis-fluid system with prescribed signal on the boundary,Communications in Partial Differential Equations, 46(2021): 1058-1091.

[6]  Yulan Wang,Lu Yang,Boundedness in a chemotaxis-fluid system involving a saturated sensitivity and indirect signal production mechanism, J. Differential Equations, 287(2021): 460-490.

[7] Yulan Wang,  Li Zhao, A 3D self-consistent chemotaxis-fluid system with nonlinear diffusion, J. Differential Equations. 269(2020): 148–179.

[8] Yulan Wang,  Global solvability and eventual smoothness in a chemotaxis-fluid system with weak logistic-type degradation , Mathematical Models and Methods in Applied Sciences,13(2020): 329-349.

[9] Yulan Wang,  Global Solvability in a two-dimensional self-consistent chemotaxis-Navier-Stokes system,Discrete Contin. Dyn. Syst. Ser. S,13(2020): 329-349.

[10] Yulan Wang, Michael Winkler, Zhaoyin Xiang, The fast signal diffusion limit in Keller–Segel(-fluid) systems, Calc.Var. Partial Differential Equations, 58(2019): 196.

[11] Yulan Wang, Michael Winkler, Zhaoyin Xiang, Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. 18(2018): 421-466.

[12] Yulan Wang, Michael Winkler, Zhaoyin Xiang, The small-diffusion limit in a two-dimensional chemotaxis-Navier-Stokes systems, Mathematische Zeitschrift. 289(2018): 71-108.

[13] Yulan Wang, Global weak solutions in a three-dimensional Keller-Navier-Stokes systems  with subcritical sensitivity, Mathematical Models and Methods in Applied Sciences, 27(2017):2745-2780.

[14] Yulan Wang, Zhaoyin Xiang, Global existence and boundedness in a Keller–Segel–Stokes system involving atensor-valued sensitivity with saturation: The 3D case, J. Differential Equations. 261(2016): 4944–4973. 

[15] Xie Li, Yulan Wang, Zhaoyin Xiang, Global existence and boundedness in a 2D Keller–Segel–Stokes system with nonlinear diffusion and rotational flux, Commun. Math. Sci. 14(2016): 1889-1910.

[16] Yulan Wang, Zhaoyin Xiang, Global existence and boundedness in a Keller–Segel–Stokes system involving a tensor-valued sensitivity with saturation, J. Differential Equations. 259(2015): 7578–7609. 

[17] Yulan Wang, Xinru Cao, Global Classical Solutions of a 3D Chemotaxis-Stokes System with Rotation, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES B. 20(2015): 3235-3254.

[18] Yulan Wang, Zhaoyin Xiang, The interfaces of an inhomogeneous non-Newtonian polytropic filtration equation with convection, IMA Journal of Applied Mathematics. 80(2015): 354-375. 

    主要承担本科生的微积分、数学物理方程、高等数学及研究生的偏微分方程、数学专业英语等课程的教学工作。曾参与编写教材《高等数学教程》1部；曾获西华大学第三届青年教师讲课比赛二等奖。

1. 获得四川省科技进步奖（自然科学类） 二等奖.

2. 获得四川省数学会首届基础数学奖三等奖.

2. 2019年获得“唐立新优秀学者奖”.

3. 入选第十二批“四川省学术和技术带头人后备人选”.

4. 荣获2017年西华大学“优秀科技工作者”.

1.四川省数学会常务理事.

2.西华大学校学术委员会委员.