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姓名

王艷青

職稱

講師

學科/專業學位類別

應用數學

研究方向

偏微分方程

1.    導師基本情況

王艷青，1987年3月生，理學博士，講師，研究生導師。本科就讀于河南大學，碩士博士畢業于首都師范大學數學科學學院。在國際重要學術期刊Nonlinearity,JDE， CCM,PJM, JMFM，JDDE等雜志以第一作者或通訊作者在上發表15篇論文，均被SCI收錄。目前研究方向：非線性偏微分方程、不可壓縮流體力學方程。

2. 代表性成果

[1].Wang, Yanqing andYang Minsuk; Improved bounds for box dimensions of potentialsingular points to the Navier–Stokes equations. Nonlinearity 32(2019), no. 12, 4817–4833

[2].He, Cheng; Wang,Yanqing;Zhou, Daoguo; New ε-Regularity Criteria of Suitable WeakSolutions of the 3D Navier–Stokes Equations at One Scale. J.Nonlinear Sci. 29 (2019), no. 6, 2681–2698.

[3].Wang,Yanqing;Wu, Gang; Zhou, Daoguo；Aregularity criterion at one scale without pressure for suitableweak solutions to the Navier-Stokes equations. J. DifferentialEquations 267 (2019), no. 8, 4673–4704.

[4].Jiu, Quansen; Wang,Yanqing;Zhou, Daoguo；OnWolf's regularity criterion of suitable weak solutions to theNavier-Stokes equations. J. Math. Fluid Mech. 21 (2019), no. 2,Art. 22, 16 pp

[5].Miao, Changxing;Wang, Yanqing；Regularityconditions for suitable weak solutions of the Navier-Stokessystem from its rotation form. Pacific J. Math. 288 (2017), no.1, 189–215.

[6].Wang,Yanqing;Wu, Gang On the box-counting dimension of the potential singularset for suitable weak solutions to the 3D Navier-Stokesequations. Nonlinearity 30 (2017), no. 5, 1762–1772.

[7].Ren, Wei; Wang,Yanqing;Wu, Gang；Partialregularity of suitable weak solutions to the multi-dimensionalgeneralized magnetohydrodynamics equations. Commun. Contemp.Math. 18 (2016), no. 6, 1650018, 38 pp.

[8].Wang,Yanqing;Wu, Gang；Aunified proof on the partial regularity for suitable weaksolutions of non-stationary and stationary Navier-Stokesequations. J. Differential Equations 256 (2014), no. 3,1224–1249.

[9].Jiu, Quansen; Wang,Yanqing；Onpossible time singular points and eventual regularity of weaksolutions to the fractional Navier-Stokes equations. Dyn. PartialDiffer. Equ. 11 (2014), no. 4, 321–343.

3. 在研的項目

 主持國家自然科學基金2項：

 [1].面上項目（11971446）不可壓縮Navier-Stokes方程適當弱解的研究；2020.01.01-2023.12.31

 [2].青年項目（11601492）不可壓縮磁流體力學方程弱解的研究；2017.01.01-2019.12.31