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
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